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139-464: In metaphysics , impenetrability is the name given to that quality of matter whereby two bodies cannot occupy the same space at the same time. The philosopher John Toland argued that impenetrability and extension were sufficient to define matter, a contention strongly disputed by Gottfried Wilhelm von Leibniz . Locke considered impenetrability to be "more a consequence of solidity , than solidity itself." This article about metaphysics

278-442: A n c e r | s m o k i n g ) {\displaystyle P(cancer|smoking)} , and interventional probabilities , as in P ( c a n c e r | d o ( s m o k i n g ) ) {\displaystyle P(cancer|do(smoking))} . The former reads: "the probability of finding cancer in a person known to smoke, having started, unforced by

417-506: A progression of events following one after the other as cause and effect. Incompatibilism holds that determinism is incompatible with free will, so if determinism is true, " free will " does not exist. Compatibilism , on the other hand, holds that determinism is compatible with, or even necessary for, free will. Causes may sometimes be distinguished into two types: necessary and sufficient. A third type of causation, which requires neither necessity nor sufficiency, but which contributes to

556-745: A system of 12 categories , divided into the four classes: quantity, quality, relation, and modality. More recent theories of categories were proposed by C. S. Peirce , Edmund Husserl , Samuel Alexander , Roderick Chisholm , and E. J. Lowe . Many philosophers rely on the contrast between concrete and abstract objects . According to a common view, concrete objects, like rocks, trees, and human beings, exist in space and time, undergo changes, and impact each other as cause and effect. They contrast with abstract objects, like numbers and sets , which do not exist in space and time, are immutable, and do not engage in causal relations. Particulars are individual entities and include both concrete objects, like Aristotle,

695-418: A 'substance', as distinct from an action. Since causality is a subtle metaphysical notion, considerable intellectual effort, along with exhibition of evidence, is needed to establish knowledge of it in particular empirical circumstances. According to David Hume , the human mind is unable to perceive causal relations directly. On this ground, the scholar distinguished between the regularity view of causality and

834-511: A causal ordering. The system of equations must have certain properties, most importantly, if some values are chosen arbitrarily, the remaining values will be determined uniquely through a path of serial discovery that is perfectly causal. They postulate the inherent serialization of such a system of equations may correctly capture causation in all empirical fields, including physics and economics. Some theorists have equated causality with manipulability. Under these theories, x causes y only in

973-429: A cause is incorrectly identified. Counterfactual theories define causation in terms of a counterfactual relation, and can often be seen as "floating" their account of causality on top of an account of the logic of counterfactual conditionals . Counterfactual theories reduce facts about causation to facts about what would have been true under counterfactual circumstances. The idea is that causal relations can be framed in

1112-441: A cause, and what kind of entity can be an effect?" One viewpoint on this question is that cause and effect are of one and the same kind of entity, causality being an asymmetric relation between them. That is to say, it would make good sense grammatically to say either " A is the cause and B the effect" or " B is the cause and A the effect", though only one of those two can be actually true. In this view, one opinion, proposed as

1251-579: A definite time. Such a process can be regarded as a cause. Causality is not inherently implied in equations of motion , but postulated as an additional constraint that needs to be satisfied (i.e. a cause always precedes its effect). This constraint has mathematical implications such as the Kramers-Kronig relations . Causality is one of the most fundamental and essential notions of physics. Causal efficacy cannot 'propagate' faster than light. Otherwise, reference coordinate systems could be constructed (using

1390-400: A fire, is always followed by another phenomenon, like a feeling of pain. According to nomic regularity theories, regularities manifest as laws of nature studied by science. Counterfactual theories focus not on regularities but on how effects depend on their causes. They state that effects owe their existence to the cause and would not occur without them. According to primitivism, causation

1529-414: A gradual continuum. The word metaphysics has its origin in the ancient Greek words metá ( μετά , meaning ' after ' , ' above ' , and ' beyond' ' ) and phusiká ( φυσικά ), as a short form of ta metá ta phusiká , meaning ' what comes after the physics ' . This is often interpreted to mean that metaphysics discusses topics that, due to their generality and comprehensiveness, lie beyond

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1668-422: A higher degree of existence than matter, which can only imperfectly reflect Platonic forms. Another key concern in metaphysics is the division of entities into distinct groups based on underlying features they share. Theories of categories provide a system of the most fundamental kinds or the highest genera of being by establishing a comprehensive inventory of everything. One of the earliest theories of categories

1807-568: A key role in ethics regarding the moral responsibility people have for what they do. Identity is a relation that every entity has to itself as a form of sameness. It refers to numerical identity when the very same entity is involved, as in the statement "the morning star is the evening star " (both are the planet Venus ). In a slightly different sense, it encompasses qualitative identity, also called exact similarity and indiscernibility , which occurs when two distinct entities are exactly alike, such as perfect identical twins. The principle of

1946-408: A known causal effect or to test a causal model than to generate causal hypotheses. For nonexperimental data, causal direction can often be inferred if information about time is available. This is because (according to many, though not all, theories) causes must precede their effects temporally. This can be determined by statistical time series models, for instance, or with a statistical test based on

2085-475: A long history in metaphysics, meta-metaphysics has only recently developed into a systematic field of inquiry. Metaphysicians often regard existence or being as one of the most basic and general concepts. To exist means to form part of reality , distinguishing real entities from imaginary ones. According to the orthodox view, existence is a property of properties: if an entity exists then its properties are instantiated. A different position states that existence

2224-403: A mathematical definition of "confounding" and helps researchers identify accessible sets of variables worthy of measurement. While derivations in causal calculus rely on the structure of the causal graph, parts of the causal structure can, under certain assumptions, be learned from statistical data. The basic idea goes back to Sewall Wright 's 1921 work on path analysis . A "recovery" algorithm

2363-443: A metaphysical account of what it is for there to be a causal relation between some pair of events. If correct, the analysis has the power to explain certain features of causation. Knowing that causation is a matter of counterfactual dependence, we may reflect on the nature of counterfactual dependence to account for the nature of causation. For example, in his paper "Counterfactual Dependence and Time's Arrow," Lewis sought to account for

2502-444: A metaphysical principle in process philosophy , is that every cause and every effect is respectively some process, event, becoming, or happening. An example is 'his tripping over the step was the cause, and his breaking his ankle the effect'. Another view is that causes and effects are 'states of affairs', with the exact natures of those entities being more loosely defined than in process philosophy. Another viewpoint on this question

2641-479: A priori methods have been the dominant approach. They rely on rational intuition and abstract reasoning from general principles rather than sensory experience . A posteriori approaches, by contrast, ground metaphysical theories in empirical observations and scientific theories. Some metaphysicians incorporate perspectives from fields such as physics , psychology , linguistics , and history into their inquiry. The two approaches are not mutually exclusive: it

2780-475: A priori reasoning and view metaphysics as a practice continuous with the empirical sciences that generalizes their insights while making their underlying assumptions explicit. This approach is known as naturalized metaphysics and is closely associated with the work of Willard Van Orman Quine . He relies on the idea that true sentences from the sciences and other fields have ontological commitments , that is, they imply that certain entities exist. For example, if

2919-411: A process and a pseudo-process . As an example, a ball moving through the air (a process) is contrasted with the motion of a shadow (a pseudo-process). The former is causal in nature while the latter is not. Salmon (1984) claims that causal processes can be identified by their ability to transmit an alteration over space and time. An alteration of the ball (a mark by a pen, perhaps) is carried with it as

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3058-407: A process can have multiple causes, which are also said to be causal factors for it, and all lie in its past . An effect can in turn be a cause of, or causal factor for, many other effects, which all lie in its future . Some writers have held that causality is metaphysically prior to notions of time and space . Causality is an abstraction that indicates how the world progresses. As such it

3197-418: A real number. One has to be careful in the use of the word cause in physics. Properly speaking, the hypothesized cause and the hypothesized effect are each temporally transient processes. For example, force is a useful concept for the explanation of acceleration, but force is not by itself a cause. More is needed. For example, a temporally transient process might be characterized by a definite change of force at

3336-465: A single cloud is an overlay of countless clouds, one for each cloud-like collection of water droplets. Mereological moderatists hold that certain conditions must be met for a group of entities to compose a whole, for example, that the entities touch one another. Mereological nihilists reject the idea of wholes altogether, claiming that there are no clouds or tables but only particles that are arranged cloud-wise or table-wise. A related mereological problem

3475-402: A statement is possibly true if it is true in at least one possible world, whereas it is necessarily true if it is true in all possible worlds. Modal realists argue that possible worlds exist as concrete entities in the same sense as the actual world, with the main difference being that the actual world is the world we live in while other possible worlds are inhabited by counterparts . This view

3614-464: A substratum, also called bare particular , together with various properties. The substratum confers individuality to the particular while the properties express its qualitative features or what it is like. This approach is rejected by bundle theorists , who state that particulars are only bundles of properties without an underlying substratum. Some bundle theorists include in the bundle an individual essence, called haecceity , to ensure that each bundle

3753-461: A term from German philosopher Gottfried Wilhelm Leibniz 's theodicy , many metaphysicians use the concept of possible worlds to analyze the meaning and ontological ramifications of modal statements. A possible world is a complete and consistent way the totality of things could have been. For example, the dinosaurs were wiped out in the actual world but there are possible worlds in which they are still alive. According to possible world semantics,

3892-402: A triangle. Nonetheless, even when interpreted counterfactually, the first statement is true. An early version of Aristotle's "four cause" theory is described as recognizing "essential cause". In this version of the theory, that the closed polygon has three sides is said to be the "essential cause" of its being a triangle. This use of the word 'cause' is of course now far obsolete. Nevertheless, it

4031-401: A truthmaker for the statement "a tomato is red". Based on this observation, it is possible to pursue metaphysical research by asking what the truthmakers of statements are, with different areas of metaphysics being dedicated to different types of statements. According to this view, modal metaphysics asks what makes statements about what is possible and necessary true while the metaphysics of time

4170-621: A unified dimension rather than as independent dimensions. Empirically focused metaphysicians often rely on scientific theories to ground their theories about the nature of reality in empirical observations. Similar issues arise in the social sciences where metaphysicians investigate their basic concepts and analyze their metaphysical implications. This includes questions like whether social facts emerge from non-social facts, whether social groups and institutions have mind-independent existence, and how they persist through time. Metaphysical assumptions and topics in psychology and psychiatry include

4309-404: A window and it breaks. If Alice hadn't thrown the brick, then it still would have broken, suggesting that Alice wasn't a cause; however, intuitively, Alice did cause the window to break. The Halpern-Pearl definitions of causality take account of examples like these. The first and third Halpern-Pearl conditions are easiest to understand: AC1 requires that Alice threw the brick and the window broke in

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4448-452: Is a stub . You can help Misplaced Pages by expanding it . Metaphysics Metaphysics is the branch of philosophy that examines the basic structure of reality . It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the fundamental categories of human understanding. Some philosophers, including Aristotle , designate metaphysics as first philosophy to suggest that it

4587-399: Is a basic concept that cannot be analyzed in terms of non-causal concepts, such as regularities or dependence relations. One form of primitivism identifies causal powers inherent in entities as the underlying mechanism. Eliminativists reject the above theories by holding that there is no causation. Mind encompasses phenomena like thinking , perceiving , feeling , and desiring as well as

4726-472: Is a basic concept; it is more apt to be an explanation of other concepts of progression than something to be explained by other more fundamental concepts. The concept is like those of agency and efficacy . For this reason, a leap of intuition may be needed to grasp it. Accordingly, causality is implicit in the structure of ordinary language, as well as explicit in the language of scientific causal notation . In English studies of Aristotelian philosophy ,

4865-556: Is a concern of the subject known as metaphysics . Kant thought that time and space were notions prior to human understanding of the progress or evolution of the world, and he also recognized the priority of causality. But he did not have the understanding that came with knowledge of Minkowski geometry and the special theory of relativity , that the notion of causality can be used as a prior foundation from which to construct notions of time and space. A general metaphysical question about cause and effect is: "what kind of entity can be

5004-435: Is a fundamental aspect of reality, meaning that besides facts about what is the case, there are additional facts about what could or must be the case. A different view argues that modal truths are not about an independent aspect of reality but can be reduced to non-modal characteristics, for example, to facts about what properties or linguistic descriptions are compatible with each other or to fictional statements . Borrowing

5143-439: Is a process that is varied from occasion to occasion. The occurrence or non-occurrence of subsequent bubonic plague is recorded. To establish causality, the experiment must fulfill certain criteria, only one example of which is mentioned here. For example, instances of the hypothesized cause must be set up to occur at a time when the hypothesized effect is relatively unlikely in the absence of the hypothesized cause; such unlikelihood

5282-521: Is a property of individuals, meaning that it is similar to other properties, such as shape or size. It is controversial whether all entities have this property. According to Alexius Meinong , there are nonexistent objects , including merely possible objects like Santa Claus and Pegasus . A related question is whether existence is the same for all entities or whether there are different modes or degrees of existence. For instance, Plato held that Platonic forms , which are perfect and immutable ideas, have

5421-462: Is a smoker") probabilistically causes B ("The person has now or will have cancer at some time in the future"), if the information that A occurred increases the likelihood of B s occurrence. Formally, P{ B | A }≥ P{ B } where P{ B | A } is the conditional probability that B will occur given the information that A occurred, and P{ B } is the probability that B will occur having no knowledge whether A did or did not occur. This intuitive condition

5560-442: Is a well-known principle that gives preference to simple theories, in particular, those that assume that few entities exist. Other principles consider explanatory power , theoretical usefulness, and proximity to established beliefs. Despite its status as one of the main branches of philosophy, metaphysics has received numerous criticisms questioning its legitimacy as a field of inquiry. One criticism argues that metaphysical inquiry

5699-440: Is controversial and various alternatives have been suggested, for example, that possible worlds only exist as abstract objects or are similar to stories told in works of fiction . Space and time are dimensions that entities occupy. Spacetime realists state that space and time are fundamental aspects of reality and exist independently of the human mind. Spacetime idealists, by contrast, hold that space and time are constructs of

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5838-401: Is determined. Hard determinists infer from this that there is no free will, whereas libertarians conclude that determinism must be false. Compatibilists offer a third perspective, arguing that determinism and free will do not exclude each other, for instance, because a person can still act in tune with their motivation and choices even if they are determined by other forces. Free will plays

5977-400: Is divided into subdisciplines based on the perspective they take. Metaphysical cosmology examines changeable things and investigates how they are connected to form a world as a totality extending through space and time. Rational psychology focuses on metaphysical foundations and problems concerning the mind, such as its relation to matter and the freedom of the will. Natural theology studies

6116-436: Is fundamentally neither material nor mental and suggest that matter and mind are both derivative phenomena. A key aspect of the mind–body problem is the hard problem of consciousness or how to explain that physical systems like brains can produce phenomenal consciousness. The status of free will as the ability of a person to choose their actions is a central aspect of the mind–body problem. Metaphysicians are interested in

6255-420: Is impossible because humans lack the cognitive capacities needed to access the ultimate nature of reality. This line of thought leads to skepticism about the possibility of metaphysical knowledge. Empiricists often follow this idea, like Hume, who argued that there is no good source of metaphysical knowledge since metaphysics lies outside the field of empirical knowledge and relies on dubious intuitions about

6394-434: Is interested in the truthmakers of temporal statements about the past, present, and future. A closely related topic concerns the nature of truth. Theories of truth aim to determine this nature and include correspondence , coherence , pragmatic , semantic , and deflationary theories . Metaphysicians employ a variety of methods to develop metaphysical theories and formulate arguments for and against them. Traditionally,

6533-468: Is made up of only one kind. According to idealism , everything is mental, including physical objects, which may be understood as ideas or perceptions of conscious minds. Materialists, by contrast, state that all reality is at its core material. Some deny that mind exists but the more common approach is to explain mind in terms of certain aspects of matter, such as brain states, behavioral dispositions , or functional roles. Neutral monists argue that reality

6672-459: Is more basic than causal interaction. But describing manipulations in non-causal terms has provided a substantial difficulty. The second criticism centers around concerns of anthropocentrism . It seems to many people that causality is some existing relationship in the world that we can harness for our desires. If causality is identified with our manipulation, then this intuition is lost. In this sense, it makes humans overly central to interactions in

6811-479: Is more fundamental than other forms of philosophical inquiry. Metaphysics encompasses a wide range of general and abstract topics. It investigates the nature of existence , the features all entities have in common, and their division into categories of being . An influential division is between particulars and universals . Particulars are individual unique entities, like a specific apple. Universals are general features that different particulars have in common, like

6950-419: Is no consensus about the validity of these criticisms and whether they affect metaphysics as a whole or only certain issues or approaches in it. For example, it could be the case that certain metaphysical disputes are merely verbal while others are substantive. Metaphysics is related to many fields of inquiry by investigating their basic concepts and relation to the fundamental structure of reality. For example,

7089-409: Is not adequate as a definition for probabilistic causation because of its being too general and thus not meeting our intuitive notion of cause and effect. For example, if A denotes the event "The person is a smoker," B denotes the event "The person now has or will have cancer at some time in the future" and C denotes the event "The person now has or will have emphysema some time in the future," then

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7228-411: Is one of the oldest branches of philosophy . The precise nature of metaphysics is disputed and its characterization has changed in the course of history. Some approaches see metaphysics as a unified field and give a wide-sweeping definition by understanding it as the study of "fundamental questions about the nature of reality" or as an inquiry into the essences of things. Another approach doubts that

7367-408: Is opposed by so-called serious metaphysicians , who contend that metaphysical disputes are about substantial features of the underlying structure of reality. A closely related debate between ontological realists and anti-realists concerns the question of whether there are any objective facts that determine which metaphysical theories are true. A different criticism, formulated by pragmatists , sees

7506-457: Is possible to combine elements from both. The method a metaphysician chooses often depends on their understanding of the nature of metaphysics, for example, whether they see it as an inquiry into the mind-independent structure of reality, as metaphysical realists claim, or the principles underlying thought and experience, as some metaphysical anti-realists contend. A priori approaches often rely on intuitions—non-inferential impressions about

7645-448: Is rejected by probabilistic theories , which claim that the cause merely increases the probability that the effect occurs. This view can explain that smoking causes cancer even though this does not happen in every single case. The regularity theory of causation , inspired by David Hume 's philosophy, states that causation is nothing but a constant conjunction in which the mind apprehends that one phenomenon, like putting one's hand in

7784-744: Is specifically characteristic of quantal phenomena that observations defined by incompatible variables always involve important intervention by the experimenter, as described quantitatively by the observer effect . In classical thermodynamics , processes are initiated by interventions called thermodynamic operations . In other branches of science, for example astronomy , the experimenter can often observe with negligible intervention. The theory of "causal calculus" (also known as do-calculus, Judea Pearl 's Causal Calculus, Calculus of Actions) permits one to infer interventional probabilities from conditional probabilities in causal Bayesian networks with unmeasured variables. One very practical result of this theory

7923-418: Is studied by mereology . The problem of the many is a philosophical question about the conditions under which several individual things compose a larger whole. For example, a cloud is made up of many droplets without a clear boundary, raising the question of which droplets form part of the cloud. According to mereological universalists, every collection of entities forms a whole. This means that what seems to be

8062-406: Is the cause and the spill is the effect. Besides the single-case causation between particulars in this example, there is also general-case causation expressed in statements such as "smoking causes cancer". The term agent causation is used when people and their actions cause something. Causation is usually interpreted deterministically, meaning that a cause always brings about its effect. This view

8201-718: Is the characterization of confounding variables , namely, a sufficient set of variables that, if adjusted for, would yield the correct causal effect between variables of interest. It can be shown that a sufficient set for estimating the causal effect of X {\displaystyle X} on Y {\displaystyle Y} is any set of non-descendants of X {\displaystyle X} that d {\displaystyle d} -separate X {\displaystyle X} from Y {\displaystyle Y} after removing all arrows emanating from X {\displaystyle X} . This criterion, called "backdoor", provides

8340-472: Is the more classical one, that a cause and its effect can be of different kinds of entity. For example, in Aristotle's efficient causal explanation, an action can be a cause while an enduring object is its effect. For example, the generative actions of his parents can be regarded as the efficient cause, with Socrates being the effect, Socrates being regarded as an enduring object, in philosophical tradition called

8479-417: Is the most basic inquiry upon which all other branches of philosophy depend in some way. Metaphysics is traditionally understood as a study of mind-independent features of reality. Starting with Immanuel Kant 's critical philosophy , an alternative conception gained prominence that focuses on conceptual schemes rather than external reality. Kant distinguishes transcendent metaphysics, which aims to describe

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8618-500: Is to be established by empirical evidence. A mere observation of a correlation is not nearly adequate to establish causality. In nearly all cases, establishment of causality relies on repetition of experiments and probabilistic reasoning. Hardly ever is causality established more firmly than as more or less probable. It is most convenient for establishment of causality if the contrasting material states of affairs are precisely matched, except for only one variable factor, perhaps measured by

8757-401: Is unique. Another proposal for concrete particulars is that they are individuated by their space-time location. Concrete particulars encountered in everyday life, like rocks, tables, and organisms, are complex entities composed of various parts. For example, a table is made up of a tabletop and legs, each of which is itself made up of countless particles. The relation between parts and wholes

8896-465: Is whether there are simple entities that have no parts, as atomists claim, or whether everything can be endlessly subdivided into smaller parts, as continuum theorists contend. Universals are general entities, encompassing both properties and relations , that express what particulars are like and how they resemble one another. They are repeatable, meaning that they are not limited to a unique existent but can be instantiated by different particulars at

9035-497: Is within the scope of ordinary language to say that it is essential to a triangle that it has three sides. A full grasp of the concept of conditionals is important to understanding the literature on causality. In everyday language, loose conditional statements are often enough made, and need to be interpreted carefully. Fallacies of questionable cause, also known as causal fallacies, non-causa pro causa (Latin for "non-cause for cause"), or false cause, are informal fallacies where

9174-458: The Lorentz transform of special relativity ) in which an observer would see an effect precede its cause (i.e. the postulate of causality would be violated). Causal notions appear in the context of the flow of mass-energy. Any actual process has causal efficacy that can propagate no faster than light. In contrast, an abstraction has no causal efficacy. Its mathematical expression does not propagate in

9313-500: The Upanishads in ancient India , Daoism in ancient China , and pre-Socratic philosophy in ancient Greece . During the subsequent medieval period in the West, discussions about the nature of universals were influenced by the philosophies of Plato and Aristotle. The modern period saw the emergence of various comprehensive systems of metaphysics, many of which embraced idealism . In

9452-449: The counterfactual conditional , has a stronger connection with causality, yet even counterfactual statements are not all examples of causality. Consider the following two statements: In the first case, it would be incorrect to say that A's being a triangle caused it to have three sides, since the relationship between triangularity and three-sidedness is that of definition. The property of having three sides actually determines A's state as

9591-415: The skeletons (the graphs stripped of arrows) of these three triplets are identical, the directionality of the arrows is partially identifiable. The same distinction applies when X {\displaystyle X} and Z {\displaystyle Z} have common ancestors, except that one must first condition on those ancestors. Algorithms have been developed to systematically determine

9730-512: The (mentioned above) regularity, probabilistic , counterfactual, mechanistic , and manipulationist views. The five approaches can be shown to be reductive, i.e., define causality in terms of relations of other types. According to this reading, they define causality in terms of, respectively, empirical regularities (constant conjunctions of events), changes in conditional probabilities , counterfactual conditions, mechanisms underlying causal relations, and invariance under intervention. Causality has

9869-404: The 20th century, traditional metaphysics in general and idealism in particular faced various criticisms, which prompted new approaches to metaphysical inquiry. Metaphysics is the study of the most general features of reality , including existence , objects and their properties , possibility and necessity, space and time , change, causation , and the relation between matter and mind . It

10008-621: The Eiffel Tower, or a specific apple, and abstract objects, like the number 2 or a specific set in mathematics. Also called individuals , they are unique, non-repeatable entities and contrast with universals , like the color red, which can at the same time exist in several places and characterize several particulars. A widely held view is that particulars instantiate universals but are not themselves instantiated by something else, meaning that they exist in themselves while universals exist in something else. Substratum theory analyzes each particular as

10147-514: The English language through the Latin word metaphysica . The nature of metaphysics can also be characterized in relation to its main branches. An influential division from early modern philosophy distinguishes between general and special or specific metaphysics. General metaphysics, also called ontology , takes the widest perspective and studies the most fundamental aspects of being. It investigates

10286-404: The absence of firefighters. Together these are unnecessary but sufficient to the house's burning down (since many other collections of events certainly could have led to the house burning down, for example shooting the house with a flamethrower in the presence of oxygen and so forth). Within this collection, the short circuit is an insufficient (since the short circuit by itself would not have caused

10425-402: The abstract nature of its topic, metaphysics has received criticisms questioning the reliability of its methods and the meaningfulness of its theories. Metaphysics is relevant to many fields of inquiry that often implicitly rely on metaphysical concepts and assumptions. The roots of metaphysics lie in antiquity with speculations about the nature and origin of the universe, like those found in

10564-473: The actual work. AC3 requires that Alice throwing the brick is a minimal cause (cf. blowing a kiss and throwing a brick). Taking the "updated" version of AC2(a), the basic idea is that we have to find a set of variables and settings thereof such that preventing Alice from throwing a brick also stops the window from breaking. One way to do this is to stop Bob from throwing the brick. Finally, for AC2(b), we have to hold things as per AC2(a) and show that Alice throwing

10703-417: The antecedent to precede or coincide with the consequent in time, whereas conditional statements do not require this temporal order. Confusion commonly arises since many different statements in English may be presented using "If ..., then ..." form (and, arguably, because this form is far more commonly used to make a statement of causality). The two types of statements are distinct, however. For example, all of

10842-478: The asymmetry of the causal relation is unrelated to the asymmetry of any mode of implication that contraposes. Rather, a causal relation is not a relation between values of variables, but a function of one variable (the cause) on to another (the effect). So, given a system of equations, and a set of variables appearing in these equations, we can introduce an asymmetric relation among individual equations and variables that corresponds perfectly to our commonsense notion of

10981-430: The average person thinks about an issue. For example, common-sense philosophers have argued that mereological nihilism is false since it implies that commonly accepted things, like tables, do not exist. Conceptual analysis , a method particularly prominent in analytic philosophy , aims to decompose metaphysical concepts into component parts to clarify their meaning and identify essential relations. In phenomenology ,

11120-419: The ball goes through the air. On the other hand, an alteration of the shadow (insofar as it is possible) will not be transmitted by the shadow as it moves along. These theorists claim that the important concept for understanding causality is not causal relationships or causal interactions, but rather identifying causal processes. The former notions can then be defined in terms of causal processes. A subgroup of

11259-434: The brick breaks the window. (The full definition is a little more involved, involving checking all subsets of variables.) Interpreting causation as a deterministic relation means that if A causes B , then A must always be followed by B . In this sense, war does not cause deaths, nor does smoking cause cancer or emphysema . As a result, many turn to a notion of probabilistic causation. Informally, A ("The person

11398-503: The case that one can change x in order to change y . This coincides with commonsense notions of causations, since often we ask causal questions in order to change some feature of the world. For instance, we are interested in knowing the causes of crime so that we might find ways of reducing it. These theories have been criticized on two primary grounds. First, theorists complain that these accounts are circular . Attempting to reduce causal claims to manipulation requires that manipulation

11537-625: The color red . Modal metaphysics examines what it means for something to be possible or necessary. Metaphysicians also explore the concepts of space, time, and change , and their connection to causality and the laws of nature . Other topics include how mind and matter are related , whether everything in the world is predetermined , and whether there is free will . Metaphysicians use various methods to conduct their inquiry. Traditionally, they rely on rational intuitions and abstract reasoning but have more recently also included empirical approaches associated with scientific theories. Due to

11676-404: The concepts of truth , truth-bearer , and truthmaker to conduct their inquiry. Truth is a property of being in accord with reality. Truth-bearers are entities that can be true or false, such as linguistic statements and mental representations. A truthmaker of a statement is the entity whose existence makes the statement true. For example, the fact that a tomato exists and that it is red acts as

11815-442: The conceptual frame of the scientific method , an investigator sets up several distinct and contrasting temporally transient material processes that have the structure of experiments , and records candidate material responses, normally intending to determine causality in the physical world. For instance, one may want to know whether a high intake of carrots causes humans to develop the bubonic plague . The quantity of carrot intake

11954-763: The correctness of specific claims or general principles. For example, arguments for the A-theory of time , which states that time flows from the past through the present and into the future, often rely on pre-theoretical intuitions associated with the sense of the passage of time. Some approaches use intuitions to establish a small set of self-evident fundamental principles, known as axioms , and employ deductive reasoning to build complex metaphysical systems by drawing conclusions from these axioms. Intuition-based approaches can be combined with thought experiments , which help evoke and clarify intuitions by linking them to imagined situations. They use counterfactual thinking to assess

12093-696: The counterfactual notion. According to the counterfactual view , X causes Y if and only if, without X, Y would not exist. Hume interpreted the latter as an ontological view, i.e., as a description of the nature of causality but, given the limitations of the human mind, advised using the former (stating, roughly, that X causes Y if and only if the two events are spatiotemporally conjoined, and X precedes Y ) as an epistemic definition of causality. We need an epistemic concept of causality in order to distinguish between causal and noncausal relations. The contemporary philosophical literature on causality can be divided into five big approaches to causality. These include

12232-428: The derivation of a cause-and-effect relationship from observational studies must rest on some qualitative theoretical assumptions, for example, that symptoms do not cause diseases, usually expressed in the form of missing arrows in causal graphs such as Bayesian networks or path diagrams . The theory underlying these derivations relies on the distinction between conditional probabilities , as in P ( c

12371-452: The different areas of metaphysics share a set of underlying features and provides instead a fine-grained characterization by listing all the main topics investigated by metaphysicians. Some definitions are descriptive by providing an account of what metaphysicians do while others are normative and prescribe what metaphysicians ought to do. Two historically influential definitions in ancient and medieval philosophy understand metaphysics as

12510-496: The divine and its role as the first cause. The scope of special metaphysics overlaps with other philosophical disciplines, making it unclear whether a topic belongs to it or to areas like philosophy of mind and theology . Applied metaphysics is a relatively young subdiscipline. It belongs to applied philosophy and studies the applications of metaphysics, both within philosophy and other fields of inquiry. In areas like ethics and philosophy of religion , it addresses topics like

12649-434: The effect, is called a "contributory cause". J. L. Mackie argues that usual talk of "cause" in fact refers to INUS conditions ( i nsufficient but n on-redundant parts of a condition which is itself u nnecessary but s ufficient for the occurrence of the effect). An example is a short circuit as a cause for a house burning down. Consider the collection of events: the short circuit, the proximity of flammable material, and

12788-455: The experimenter, to do so at an unspecified time in the past", while the latter reads: "the probability of finding cancer in a person forced by the experimenter to smoke at a specified time in the past". The former is a statistical notion that can be estimated by observation with negligible intervention by the experimenter, while the latter is a causal notion which is estimated in an experiment with an important controlled randomized intervention. It

12927-739: The fault of metaphysics not in its cognitive ambitions or the meaninglessness of its statements, but in its practical irrelevance and lack of usefulness. Martin Heidegger criticized traditional metaphysics, saying that it fails to distinguish between individual entities and being as their ontological ground. His attempt to reveal the underlying assumptions and limitations in the history of metaphysics to "overcome metaphysics" influenced Jacques Derrida 's method of deconstruction . Derrida employed this approach to criticize metaphysical texts for relying on opposing terms, like presence and absence, which he thought were inherently unstable and contradictory. There

13066-447: The features that all entities share and how entities can be divided into different categories . Categories are the most general kinds, such as substance, property, relation , and fact . Ontologists research which categories there are, how they depend on one another, and how they form a system of categories that provides a comprehensive classification of all entities. Special metaphysics considers being from more narrow perspectives and

13205-423: The fire) but non-redundant (because the fire would not have happened without it, everything else being equal) part of a condition which is itself unnecessary but sufficient for the occurrence of the effect. So, the short circuit is an INUS condition for the occurrence of the house burning down. Conditional statements are not statements of causality. An important distinction is that statements of causality require

13344-509: The following definition of the notion of causal dependence : Causation is then analyzed in terms of counterfactual dependence. That is, C causes E if and only if there exists a sequence of events C, D 1 , D 2 , ... D k , E such that each event in the sequence counterfactually depends on the previous. This chain of causal dependence may be called a mechanism . Note that the analysis does not purport to explain how we make causal judgements or how we reason about causation, but rather to give

13483-417: The following statements are true when interpreting "If ..., then ..." as the material conditional: The first is true since both the antecedent and the consequent are true. The second is true in sentential logic and indeterminate in natural language, regardless of the consequent statement that follows, because the antecedent is false. The ordinary indicative conditional has somewhat more structure than

13622-410: The following three relationships hold: P{ B | A } ≥ P{ B }, P{ C | A } ≥ P{ C } and P{ B | C } ≥ P{ B }. The last relationship states that knowing that the person has emphysema increases the likelihood that he will have cancer. The reason for this is that having the information that the person has emphysema increases the likelihood that the person is a smoker, thus indirectly increasing the likelihood that

13761-494: The form of "Had C not occurred, E would not have occurred." This approach can be traced back to David Hume 's definition of the causal relation as that "where, if the first object had not been, the second never had existed." More full-fledged analysis of causation in terms of counterfactual conditionals only came in the 20th century after development of the possible world semantics for the evaluation of counterfactual conditionals. In his 1973 paper "Causation," David Lewis proposed

13900-468: The fundamental structure of mind-independent reality. The concepts of possibility and necessity convey what can or must be the case, expressed in modal statements like "it is possible to find a cure for cancer" and "it is necessary that two plus two equals four". Modal metaphysics studies metaphysical problems surrounding possibility and necessity, for instance, why some modal statements are true while others are false. Some metaphysicians hold that modality

14039-404: The human mind, created to organize and make sense of reality. Spacetime absolutism or substantivalism understands spacetime as a distinct object, with some metaphysicians conceptualizing it as a container that holds all other entities within it. Spacetime relationism sees spacetime not as an object but as a network of relations between objects, such as the spatial relation of being next to and

14178-498: The idea of Granger causality , or by direct experimental manipulation. The use of temporal data can permit statistical tests of a pre-existing theory of causal direction. For instance, our degree of confidence in the direction and nature of causality is much greater when supported by cross-correlations , ARIMA models, or cross-spectral analysis using vector time series data than by cross-sectional data . Nobel laureate Herbert A. Simon and philosopher Nicholas Rescher claim that

14317-443: The indiscernibility of identicals is widely accepted and holds that numerically identical entities exactly resemble one another. The converse principle, known as identity of indiscernibles or Leibniz's Law, is more controversial and states that two entities are numerically identical if they exactly resemble one another. Another distinction is between synchronic and diachronic identity. Synchronic identity relates an entity to itself at

14456-415: The individual sciences by studying the most general and abstract aspects of reality. The individual sciences, by contrast, examine more specific and concrete features and restrict themselves to certain classes of entities, such as the focus on physical things in physics , living entities in biology , and cultures in anthropology . It is disputed to what extent this contrast is a strict dichotomy rather than

14595-410: The material conditional. For instance, although the first is the closest, neither of the preceding two statements seems true as an ordinary indicative reading. But the sentence: intuitively seems to be true, even though there is no straightforward causal relation in this hypothetical situation between Shakespeare's not writing Macbeth and someone else's actually writing it. Another sort of conditional,

14734-469: The meaning of a statement is given by the procedure used to verify it, usually through the observations that would confirm it. Based on this controversial assumption, they argue that metaphysical statements are meaningless since they make no testable predictions about experience. A slightly weaker position allows metaphysical statements to have meaning while holding that metaphysical disagreements are merely verbal disputes about different ways to describe

14873-501: The method of eidetic variation is used to investigate essential structures underlying phenomena . This method involves imagining an object and varying its features to determine which ones are essential and cannot be changed. The transcendental method is a further approach and examines the metaphysical structure of reality by observing what entities there are and studying the conditions of possibility without which these entities could not exist. Some approaches give less importance to

15012-734: The mind used to order experience by classifying entities. Natural and social kinds are often understood as special types of universals. Entities belonging to the same natural kind share certain fundamental features characteristic of the structure of the natural world. In this regard, natural kinds are not an artificially constructed classification but are discovered, usually by the natural sciences, and include kinds like electrons , H 2 O , and tigers. Scientific realists and anti-realists disagree about whether natural kinds exist. Social kinds, like money and baseball , are studied by social metaphysics and characterized as useful social constructions that, while not purely fictional, do not reflect

15151-889: The natural sciences rely on concepts such as law of nature , causation, necessity, and spacetime to formulate their theories and predict or explain the outcomes of experiments. While scientists primarily focus on applying these concepts to specific situations, metaphysics examines their general nature and how they depend on each other. For instance, physicists formulate laws of nature, like laws of gravitation and thermodynamics , to describe how physical systems behave under various conditions. Metaphysicians, by contrast, examine what all laws of nature have in common, asking whether they merely describe contingent regularities or express necessary relations. New scientific discoveries have also influenced existing metaphysical theories and inspired new ones. Einstein's theory of relativity , for instance, prompted various metaphysicians to conceive space and time as

15290-430: The notion of causality is metaphysically prior to the notions of time and space. In practical terms, this is because use of the relation of causality is necessary for the interpretation of empirical experiments. Interpretation of experiments is needed to establish the physical and geometrical notions of time and space. The deterministic world-view holds that the history of the universe can be exhaustively represented as

15429-401: The object is present, not the object as a whole. Change means that an earlier part is qualitatively different from a later part. For example, when a banana ripens, there is an unripe part followed by a ripe part. Causality is the relation between cause and effect whereby one entity produces or affects another entity. For instance, if a person bumps a glass and spills its contents then the bump

15568-471: The objective features of reality beyond sense experience, from critical metaphysics, which outlines the aspects and principles underlying all human thought and experience. Philosopher P. F. Strawson further explored the role of conceptual schemes, contrasting descriptive metaphysics, which articulates conceptual schemes commonly used to understand the world, with revisionary metaphysics, which aims to produce better conceptual schemes. Metaphysics differs from

15707-440: The one nearest to the concerns of the present article is the "efficient" one. David Hume , as part of his opposition to rationalism , argued that pure reason alone cannot prove the reality of efficient causality; instead, he appealed to custom and mental habit, observing that all human knowledge derives solely from experience . The topic of causality remains a staple in contemporary philosophy . The nature of cause and effect

15846-584: The ontological foundations of moral claims and religious doctrines. Beyond philosophy, its applications include the use of ontologies in artificial intelligence , economics , and sociology to classify entities. In psychiatry and medicine , it examines the metaphysical status of diseases . Meta-metaphysics is the metatheory of metaphysics and investigates the nature and methods of metaphysics. It examines how metaphysics differs from other philosophical and scientific disciplines and assesses its relevance to them. Even though discussions of these topics have

15985-426: The ordinary sense of the word, though it may refer to virtual or nominal 'velocities' with magnitudes greater than that of light. For example, wave packets are mathematical objects that have group velocity and phase velocity . The energy of a wave packet travels at the group velocity (under normal circumstances); since energy has causal efficacy, the group velocity cannot be faster than the speed of light. The phase of

16124-460: The past. From the perspective of the B-series theory, time is static, and events are ordered by the temporal relations earlier-than and later-than without any essential difference between past, present, and future. Eternalism holds that past, present, and future are equally real, whereas presentism asserts that only entities in the present exist. Material objects persist through time and change in

16263-415: The person will have cancer. However, we would not want to conclude that having emphysema causes cancer. Thus, we need additional conditions such as temporal relationship of A to B and a rational explanation as to the mechanism of action. It is hard to quantify this last requirement and thus different authors prefer somewhat different definitions. When experimental interventions are infeasible or illegal,

16402-480: The possible consequences of these situations. For example, to explore the relation between matter and consciousness, some theorists compare humans to philosophical zombies —hypothetical creatures identical to humans but without conscious experience . A related method relies on commonly accepted beliefs instead of intuitions to formulate arguments and theories. The common-sense approach is often used to criticize metaphysical theories that deviate significantly from how

16541-441: The process theories is the mechanistic view on causality. It states that causal relations supervene on mechanisms. While the notion of mechanism is understood differently, the definition put forward by the group of philosophers referred to as the 'New Mechanists' dominate the literature. For the scientific investigation of efficient causality, the cause and effect are each best conceived of as temporally transient processes. Within

16680-508: The process, like a tree that grows or loses leaves. The main ways of conceptualizing persistence through time are endurantism and perdurantism . According to endurantism, material objects are three-dimensional entities that are wholly present at each moment. As they change, they gain or lose properties but otherwise remain the same. Perdurantists see material objects as four-dimensional entities that extend through time and are made up of different temporal parts . At each moment, only one part of

16819-473: The properties of antecedence and contiguity. These are topological, and are ingredients for space-time geometry. As developed by Alfred Robb , these properties allow the derivation of the notions of time and space. Max Jammer writes "the Einstein postulate ... opens the way to a straightforward construction of the causal topology ... of Minkowski space." Causal efficacy propagates no faster than light. Thus,

16958-672: The questions about the relation between body and mind, whether the nature of the human mind is historically fixed, and what the metaphysical status of diseases is. Metaphysics is similar to both physical cosmology and theology in its exploration of the first causes and the universe as a whole. Key differences are that metaphysics relies on rational inquiry while physical cosmology gives more weight to empirical observations and theology incorporates divine revelation and other faith-based doctrines. Historically, cosmology and theology were considered subfields of metaphysics.         Causality In general,

17097-464: The realm beyond sensory experience. A related argument favoring the unreliability of metaphysical theorizing points to the deep and lasting disagreements about metaphysical issues, suggesting a lack of overall progress. Another criticism holds that the problem lies not with human cognitive abilities but with metaphysical statements themselves, which some claim are neither true nor false but meaningless . According to logical positivists , for instance,

17236-448: The realm of physics and its focus on empirical observation. Metaphysics may have received its name by a historical accident when Aristotle's book on this subject was published. Aristotle did not use the term metaphysics but his editor (likely Andronicus of Rhodes ) may have coined it for its title to indicate that this book should be studied after Aristotle's book published on physics : literally ' after physics ' . The term entered

17375-433: The relation between free will and causal determinism —the view that everything in the universe, including human behavior, is determined by preceding events and laws of nature. It is controversial whether causal determinism is true, and, if so, whether this would imply that there is no free will. According to incompatibilism , free will cannot exist in a deterministic world since there is no true choice or control if everything

17514-431: The same time, whereas diachronic identity is about the same entity at different times, as in statements like "the table I bought last year is the same as the table in my dining room now". Personal identity is a related topic in metaphysics that uses the term identity in a slightly different sense and concerns questions like what personhood is or what makes someone a person. Various contemporary metaphysicians rely on

17653-559: The same time. For example, the particulars Nelson Mandela and Mahatma Gandhi instantiate the universal humanity , similar to how a strawberry and a ruby instantiate the universal red . A topic discussed since ancient philosophy, the problem of universals consists in the challenge of characterizing the ontological status of universals. Realists argue that universals are real, mind-independent entities that exist in addition to particulars. According to Platonic realists , universals exist independently of particulars, which implies that

17792-418: The science of the first causes and as the study of being qua being, that is, the topic of what all beings have in common and to what fundamental categories they belong. In the modern period, the scope of metaphysics expanded to include topics such as the distinction between mind and body and free will . Some philosophers follow Aristotle in describing metaphysics as "first philosophy", suggesting that it

17931-517: The sentence "some electrons are bonded to protons" is true then it can be used to justify that electrons and protons exist. Quine used this insight to argue that one can learn about metaphysics by closely analyzing scientific claims to understand what kind of metaphysical picture of the world they presuppose. In addition to methods of conducting metaphysical inquiry, there are various methodological principles used to decide between competing theories by comparing their theoretical virtues. Ockham's Razor

18070-664: The skeleton of the underlying graph and, then, orient all arrows whose directionality is dictated by the conditional independencies observed. Alternative methods of structure learning search through the many possible causal structures among the variables, and remove ones which are strongly incompatible with the observed correlations . In general this leaves a set of possible causal relations, which should then be tested by analyzing time series data or, preferably, designing appropriately controlled experiments . In contrast with Bayesian Networks, path analysis (and its generalization, structural equation modeling ), serve better to estimate

18209-507: The temporal relation of coming before . In the metaphysics of time, an important contrast is between the A-series and the B-series . According to the A-series theory, the flow of time is real, meaning that events are categorized into the past, present, and future. The present continually moves forward in time and events that are in the present now will eventually change their status and lie in

18348-428: The time-directedness of counterfactual dependence in terms of the semantics of the counterfactual conditional. If correct, this theory can serve to explain a fundamental part of our experience, which is that we can causally affect the future but not the past. One challenge for the counterfactual account is overdetermination , whereby an effect has multiple causes. For instance, suppose Alice and Bob both throw bricks at

18487-408: The underlying faculties responsible for these phenomena. The mind–body problem is the challenge of clarifying the relation between physical and mental phenomena. According to Cartesian dualism , minds and bodies are distinct substances. They causally interact with each other in various ways but can, at least in principle, exist on their own. This view is rejected by monists , who argue that reality

18626-475: The universal red would continue to exist even if there were no red things. A more moderate form of realism , inspired by Aristotle, states that universals depend on particulars, meaning that they are only real if they are instantiated. Nominalists reject the idea that universals exist in either form. For them, the world is composed exclusively of particulars. Conceptualists offer an intermediate position, stating that universals exist, but only as concepts in

18765-486: The word "cause" is used as a specialized technical term, the translation of Aristotle 's term αἰτία, by which Aristotle meant "explanation" or "answer to a 'why' question". Aristotle categorized the four types of answers as material, formal, efficient, and final "causes". In this case, the "cause" is the explanans for the explanandum , and failure to recognize that different kinds of "cause" are being considered can lead to futile debate. Of Aristotle's four explanatory modes,

18904-455: The world. Some attempts to defend manipulability theories are recent accounts that do not claim to reduce causality to manipulation. These accounts use manipulation as a sign or feature in causation without claiming that manipulation is more fundamental than causation. Some theorists are interested in distinguishing between causal processes and non-causal processes (Russell 1948; Salmon 1984). These theorists often want to distinguish between

19043-419: The world. According to this view, the disagreement in the metaphysics of composition about whether there are tables or only particles arranged table-wise is a trivial debate about linguistic preferences without any substantive consequences for the nature of reality. The position that metaphysical disputes have no meaning or no significant point is called metaphysical or ontological deflationism . This view

19182-712: Was developed by Rebane and Pearl (1987) which rests on Wright's distinction between the three possible types of causal substructures allowed in a directed acyclic graph (DAG): Type 1 and type 2 represent the same statistical dependencies (i.e., X {\displaystyle X} and Z {\displaystyle Z} are independent given Y {\displaystyle Y} ) and are, therefore, indistinguishable within purely cross-sectional data . Type 3, however, can be uniquely identified, since X {\displaystyle X} and Z {\displaystyle Z} are marginally independent and all other pairs are dependent. Thus, while

19321-448: Was proposed by Aristotle, who outlined a system of 10 categories . He argued that substances (e.g. man and horse), are the most important category since all other categories like quantity (e.g. four), quality (e.g. white), and place (e.g. in Athens) are said of substances and depend on them. Kant understood categories as fundamental principles underlying human understanding and developed

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