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Mathematics Subject Classification

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The Mathematics Subject Classification ( MSC ) is an alphanumerical classification scheme that has collaboratively been produced by staff of, and based on the coverage of, the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH . The MSC is used by many mathematics journals , which ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The current version is MSC2020.

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92-432: The MSC is a hierarchical scheme, with three levels of structure. A classification can be two, three or five digits long, depending on how many levels of the classification scheme are used. The first level is represented by a two-digit number, the second by a letter, and the third by another two-digit number. For example: At the top level, 64 mathematical disciplines are labeled with a unique two-digit number. In addition to

184-767: A Western and an Eastern bloc , which later reunified to form the European Union . In the history of the Americas , the first anatomically modern humans arrived around 20,000 to 15,000 years ago. The Americas were home to some of the earliest civilizations, like the Norte Chico civilization in South America and the Maya and Olmec civilizations in Central America. Over the next millennia, major empires arose beside them, such as

276-501: A sedentary lifestyle supported by early forms of agriculture . The absence of written documents from this period presents researchers with unique challenges. It results in an interdisciplinary approach relying on other forms of evidence from fields such as archaeology , anthropology , paleontology , and geology . Ancient history, starting roughly 3500 BCE, saw the emergence of the first major civilizations in Mesopotamia , Egypt,

368-425: A broad scope, the amount of primary sources is often too extensive for an individual historian to review. This forces them to either narrow the scope of their topic or rely on secondary sources to arrive at a wide overview. Chronological division is a common approach to organizing the vast expanse of history into more manageable segments. Different periods are often defined based on dominant themes that characterize

460-421: A certain point (the train station). Alternatively, the sentence, "He ran past us at full speed," utilizes the concept of the past to describe the position of someone ("He") that is further than the speaker. The "past" is also used to define a time that is a certain number of minute before or after a particular hour , as in "We left the party at half-past twelve." People also use "past" to refer to being beyond

552-448: A girl who is currently walking (present tense), while "she walked" refers to a girl who was walking before now (past tense). The past continuous tense refers to actions that continued for a period of time, as in the sentence "she was walking," which describes an action that was still happening in a prior window of time to which a speaker is presently referring. The past perfect tense is used to describe actions that were already completed by

644-405: A historian writes a text about slavery based on an analysis of historical documents, then the text is a secondary source on slavery and a primary source on the historian's opinion. Consistency with available sources is one of the main standards of historical works. For instance, the discovery of new sources may lead historians to revise or dismiss previously accepted narratives. Source criticism

736-457: A particular biological age or phase of being, as in, "The boy was past the age of needing a babysitter," or, "I'm past caring about that problem." The "past" is commonly used to refer to history, either generally or with regards to specific time periods or events, as in, "Past monarchs had absolute power to determine the law in contrast to many European Kings and Queens of today." Nineteenth-century British author Charles Dickens created one of

828-448: A particular culture, but not supported by external sources (such as the tales surrounding King Arthur ), are usually classified as cultural heritage or legends . History differs from myth in that it is supported by verifiable evidence . However, ancient cultural influences have helped create variant interpretations of the nature of history, which have evolved over the centuries and continue to change today. The modern study of history

920-606: A particular event occurred, refute an existing theory, or confirm a new hypothesis. To answer research questions, historians rely on various types of evidence to reconstruct the past and support their conclusions. Historical evidence is usually divided into primary and secondary sources . A primary source is a source that originated during the period that is studied. Primary sources can take various forms, such as official documents, letters, diaries, eyewitness accounts, photographs, and audio or video recordings. They also include historical remains examined in archeology , geology , and

1012-750: A research paper looks like MSC Primary 03C90; Secondary 03-02; According to the American Mathematical Society (AMS) help page about MSC, the MSC has been revised a number of times since 1940. Based on a scheme to organize AMS's Mathematical Offprint Service (MOS scheme), the AMS Classification was established for the classification of reviews in Mathematical Reviews in the 1960s. It saw various ad-hoc changes. Despite its shortcomings, Zentralblatt für Mathematik started to use it as well in

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1104-412: A sentence, "past" can be described using a variety of terms. Synonyms for "past" as an adjective include, "former," "bygone," "earlier," "preceding," and "previous." Synonyms for "past" as a noun include, "history, "background," "life story," and "biography." Synonyms of "past" as a preposition include, "in front of," "beyond," "by," and "in excess of." The word "past" can also be used to describe

1196-493: A single letter from the Latin alphabet. These represent specific areas covered by the first-level discipline. The second-level codes vary from discipline to discipline. For example, for differential geometry, the top-level code is 53 , and the second-level codes are: In addition, the special second-level code "-" is used for specific kinds of materials. These codes are of the form: The second and third level of these codes are always

1288-423: A specific point in the past. For example, "she had walked" describes an action that took place in the past and was also completed in the past. The past perfects continuous tense refers to an action that was happening up until a particular point in the past but was completed. It is different from the past perfect tense because the emphasis of past perfect continuous verbs is not on the action having been completed by

1380-431: A specific time frame and significant events that initiated these developments or brought them to an end. Depending on the selected context and level of detail, a period may be as short as a decade or longer than several centuries. A traditionally influential approach divides human history into prehistory , ancient history , post-classical history , early modern history , and modern history . Prehistory started with

1472-521: A state chronicle , the Spring and Autumn Annals , was reputed to date from as early as 722 BCE, though only 2nd-century BCE texts have survived. The title "father of history" has also been attributed, in their respective societies, to Sima Qian , Ibn Khaldun , and Kenneth Dike . The word history comes from historía ( Ancient Greek : ἱστορία , romanized :  historíā , lit.   'inquiry, knowledge from inquiry, or judge' ). It

1564-671: A state was organized internally , like factions , parties , leaders, and other political institutions. It also examines which policies were implemented and how the state interacted with other states. Political history has been studied since antiquity, making it the oldest branch of history, while other major subfields have only become established branches in the past century. Diplomatic and military history are closely related to political history. Diplomatic history examines international relations between states. It covers foreign policy topics such as negotiations, strategic considerations, treaties , and conflicts between nations as well as

1656-401: Is crossed when people cease to live only in the present, and become consciously interested both in their past and in their future. History begins with the handing down of tradition; and tradition means the carrying of the habits and lessons of the past into the future. Records of the past begin to be kept for the benefit of future generations. This definition includes within the scope of history

1748-435: Is dedicated to the institutional production of this discourse. All events that are remembered and preserved in some authentic form constitute the historical record. The task of historical discourse is to identify the sources which can most usefully contribute to the production of accurate accounts of past. Therefore, the constitution of the historian's archive is a result of circumscribing a more general archive by invalidating

1840-401: Is possible for historians to concern themselves with both the very specific and the very general, though the trend has been toward specialization. The area called Big History resists this specialization, and searches for universal patterns or trends. History has often been studied with some practical or theoretical aim, but may be studied out of simple intellectual curiosity. Human history

1932-407: Is still used to mean both "history" and "story". Historian in the sense of a "researcher of history" is attested from 1531. In all European languages , the substantive history is still used to mean both "what happened with men" and "the scholarly study of the happened" or the word historiography . The adjective historical is attested from 1661, and historic from 1669. Historians write in

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2024-529: Is the marker that separates history from what comes before. Archaeology is especially helpful in unearthing buried sites and objects, which contribute to the study of history. Archeological finds rarely stand alone, with narrative sources complementing its discoveries. Archeology's methodologies and approaches are independent from the field of history. "Historical archaeology" is a specific branch of archeology which often contrasts its conclusions against those of contemporary textual sources. For example, Mark Leone,

2116-415: Is the memory of the past experience of Homo sapiens around the world, as that experience has been preserved, largely in written records. By "prehistory", historians mean the recovery of knowledge of the past in an area where no written records exist, or where the writing of a culture is not understood. By studying painting, drawings, carvings, and other artifacts, some information can be recovered even in

2208-426: Is the process of analyzing and evaluating the information a source provides. Typically, this process begins with external criticism, which evaluates the authenticity of a source. It addresses the questions of when and where the source was created and seeks to identify the author, understand their reason for producing the source, and determine if it has undergone some type of modification since its creation. Additionally,

2300-462: Is the systematic study and documentation of the human past . History is an academic discipline which uses a narrative to describe, examine, question, and analyze past events, and investigate their patterns of cause and effect. Historians debate which narrative best explains an event, as well as the significance of different causes and effects. Historians debate the nature of history as an end in itself, and its usefulness in giving perspective on

2392-421: Is the use of periodization . It divides a timeframe into different periods, each organized around central themes or developments that shaped the period. For example, the three-age system divides early human history into Stone Age , Bronze Age , and Iron Age based on the predominant materials and technologies during these periods. Another methodological tool is the examination of silences, gaps or omissions in

2484-399: Is wide-ranging, and includes the study of specific regions and certain topical or thematic elements of historical investigation. History is taught as a part of primary and secondary education, and the academic study of history is a major discipline in universities. Herodotus , a 5th-century BCE Greek historian , is often considered the "father of history", as one of the first historians in

2576-638: The Indus Valley , China, and Peru. The new social, economic, and political complexities necessitated the development of writing systems . Thanks to advancements in agriculture, surplus food allowed these civilizations to support larger populations, accompanied by urbanization , the establishment of trade networks, and the emergence of regional empires. Meanwhile, influential religious systems and philosophical ideas were first formulated, such as Hinduism , Buddhism , Confucianism , Judaism , and Greek philosophy . In post-classical history, beginning around 500 CE,

2668-552: The Mongol Empire became a dominant force during the 13th and 14th centuries. In early modern history, starting roughly 1500 CE, European states rose to global power. As gunpowder empires , they explored and colonized large parts of the world. As a result, the Americas were integrated into the global network, triggering a vast biological exchange of plants, animals, people, and diseases. The Scientific Revolution prompted major discoveries and accelerated technological progress. It

2760-504: The Teotihuacan , Aztec , and Inca empires . Following the arrival of the Europeans from the late 15th century onwards, the spread of newly introduced diseases drastically reduced the local population. Together with colonization and the massive influx of African slaves, it led to the collapse of major empires as demographic and cultural landscapes were reshaped. Independence movements in

2852-516: The humanities , other times part of the social sciences . It can be seen as a bridge between those two broad areas, incorporating methodologies from both. Some historians strongly support one or the other classification. In the 20th century the Annales school revolutionized the study of history, by using such outside disciplines as economics , sociology , and geography in the study of global history. Traditionally, historians have recorded events of

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2944-409: The medical sciences , such as artifacts and fossils unearthed from excavations . Primary sources offer the most direct evidence of historical events. A secondary source is a source that analyzes or interprets information found in other sources. Whether a document is a primary or a secondary source depends not only on the document itself but also on the purpose for which it is used. For example, if

3036-472: The methods they employ, such as quantitative history and digital history , which rely on quantitative methods and digital media . Comparative history compares historical phenomena from distinct times, regions, or cultures to examine their similarities and differences. Unlike most other branches, oral history relies on oral reports rather than written documents. It reflects the personal experiences and interpretations of what common people remember about

3128-445: The 12th century), chronicle, account of events as relevant to a group of people or people in general (1155), dramatic or pictorial representation of historical events ( c.  1240 ), body of knowledge relative to human evolution, science ( c.  1265 ), narrative of real or imaginary events, story ( c.  1462 )". It was from Anglo-Norman that history was brought into Middle English , and it has persisted. It appears in

3220-505: The 13th-century Ancrene Wisse , but seems to have become a common word in the late 14th century, with an early attestation appearing in John Gower 's Confessio Amantis of the 1390s (VI.1383): "I finde in a bok compiled | To this matiere an old histoire, | The which comth nou to mi memoire". In Middle English, the meaning of history was "story" in general. The restriction to the meaning "the branch of knowledge that deals with past events;

3312-628: The 18th and 19th centuries led to the formation of new nations across the Americas. In the 20th century, the United States emerged as a dominant global power and a key player in the Cold War. The history of Oceania starts with the arrival of anatomically modern humans about 60,000 to 50,000 years ago. They established diverse regional societies and cultures , first in Australia and Papua New Guinea and later also on other Pacific Islands . The arrival of

3404-406: The 1970s. In the late 1980s, a jointly revised scheme with more formal rules was agreed upon by Mathematical Reviews and Zentralblatt für Mathematik under the new name Mathematics Subject Classification. It saw various revisions as MSC1990 , MSC2000 and MSC2010 . In July 2016, Mathematical Reviews and zbMATH started collecting input from the mathematical community on the next revision of MSC, which

3496-504: The 7th century CE and became the dominant faith in many empires. Meanwhile, trade along the trans-Saharan route intensified. Beginning in the 15th century, millions of Africans were enslaved and forcibly transported to the Americas as part of the Atlantic slave trade . Most of the continent was colonized by European powers in the late 19th and early 20th centuries. Among rising nationalism , African states gradually gained independence in

3588-513: The Americas, and Oceania. The history of Africa stands at the dawn of human history with the evolution of anatomically modern humans about 200,000 years ago. The invention of writing and the establishment of civilization happened in ancient Egypt in the 4th millennium BCE. Over the next millennia, other notable civilizations and kingdoms formed in Nubia , Axum , Carthage , Ghana , Mali , and Songhay . Islam began spreading across North Africa in

3680-514: The Europeans in the 16th century prompted significant transformations. By the end of the 19th century, most of the region had come under Western control. Oceania was dragged into various conflicts during the world wars and experienced decolonization in the post-war period . Historians often limit their inquiry to a specific theme belonging to a particular field. Some historians propose a general subdivision into three major themes: political history , economic history , and social history . However,

3772-465: The Western tradition, though he has been criticized as the "father of lies". Along with his contemporary Thucydides , he helped form the foundations for the modern study of past events and societies. Their works continue to be read today, and the gap between the culture-focused Herodotus and the military-focused Thucydides remains a point of contention or approach in modern historical writing. In East Asia

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3864-546: The absence of a written record. Since the 20th century, the study of prehistory is considered essential to avoid history's implicit exclusion of certain civilizations, such as those of sub-Saharan Africa and pre-Columbian America . Historians in the West have been criticized for focusing disproportionately on the Western world . In 1961, British historian E. H. Carr wrote: The line of demarcation between prehistoric and historical times

3956-534: The aftermath of World War II , a period that saw economic progress, rapid population growth, and struggles for political stability. In the history of Asia , anatomically modern humans arrived around 100,000 years ago. As one of the cradles of civilization, Asia was home to some of the first ancient civilizations in Mesopotamia, the Indus Valley, and China, which began to emerge in the 4th and 3rd millennia BCE. In

4048-493: The beginning of globalization . Various social revolutions challenged autocratic and colonial regimes, paving the way for democracies . Many developments in fields like science, technology, economy, living standards, and human population accelerated at unprecedented rates. This happened despite the widespread destruction caused by two world wars , which rebalanced international power relations by undermining European dominance. Areas of historical study can also be categorized by

4140-406: The boundaries between these branches are vague and their relation to other thematic branches, such as intellectual history , is not always clear. Political history studies the organization of power in society, examining how power structures arise, develop, and interact. Throughout most of recorded history, states or state-like structures have been central to this field of study. It explores how

4232-442: The context of their own time, and with due regard to the current dominant ideas of how to interpret the past, and sometimes write to provide lessons for their own society. In the words of Benedetto Croce , "All history is contemporary history". History is facilitated by the formation of a "true discourse of past" through the production of narrative and analysis of past events relating to the human race. The modern discipline of history

4324-514: The development of artistic activities, styles , and movements . Environmental history studies the relation between humans and their environment. It seeks to understand how humans and the rest of nature have affected each other in the course of history. Other thematic branches include constitutional history , legal history , urban history , business history , history of technology , medical history , history of education , and people's history . Some branches of history are characterized by

4416-428: The evolution of human-like species several million years ago, leading to the emergence of anatomically modern humans about 200,000 years ago. Subsequently, humans migrated out of Africa to populate most of the earth. Towards the end of prehistory, technological advances in the form of new and improved tools led many groups to give up their established nomadic lifestyle, based on hunting and gathering , in favor of

4508-548: The excavator and interpreter of historical Annapolis, Maryland , US, has sought to understand the contradiction between textual documents idealizing "liberty" and the material record, demonstrating the possession of slaves and the inequalities of wealth made apparent by the study of the total historical environment. There are varieties of ways in which history can be organized, including chronologically, culturally , territorially, and thematically. These divisions are not mutually exclusive, and significant intersections are present. It

4600-425: The following centuries, culminating in the 19th and early 20th centuries when many parts of Asia came under direct colonial control until the end of World War II . The post-independence period was characterized by modernization, economic growth, and a steep increase in population. The history of Europe began about 45,000 years ago with the arrival of the first anatomically modern humans. The Ancient Greeks laid

4692-498: The following millennia, all major world religions and several influential philosophical traditions were conceived and spread, such as Hinduism, Buddhism, Confucianism, Taoism , Christianity, and Islam. The Silk Road facilitated trade and cultural exchange across Eurasia , while powerful empires rose and fell, such as the Mongol Empire, which dominated the continent during the 13th and 14th centuries CE. European influence grew over

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4784-412: The following twelve verb tenses: past (past, uses of English verb forms , past perfect , or past perfect continuous ), present ( present , present continuous , present perfect , or present perfect continuous ), or future ( future , future continuous , future perfect , or future perfect continuous ). The past tense refers to actions that have already happened. For example, "she is walking" refers to

4876-529: The formal record or study of past events, esp. human affairs" arose in the mid-15th century. With the Renaissance , older senses of the word were revived, and it was in the Greek sense that Francis Bacon used the term in the late 16th century, when he wrote about natural history . For him, historia was "the knowledge of objects determined by space and time", that sort of knowledge provided by memory (while science

4968-585: The foundations of Western culture , philosophy , and politics in the first millennium BCE. Their cultural heritage continued in the Roman Empire and later the Byzantine Empire . The medieval period began with the fall of the Western Roman Empire in the 5th century CE and was marked by the spread of Christianity . Starting in the 15th century, European exploration and colonization interconnected

5060-425: The geographic locations they examine. Geography plays a central role in history through its influence on food production , natural resources , economic activities, political boundaries, and cultural interactions. Some historical works limit their scope to small regions, such as a village or a settlement. Others focus on broad territories that encompass entire continents, like the histories of Africa, Asia, Europe,

5152-478: The globe, while cultural, intellectual, and scientific developments transformed Western societies. From the late 18th to the early 20th centuries, European global dominance was further solidified by the Industrial Revolution and the establishment of large overseas colonies. It came to an end because of the devastating effects of two world wars. In the following Cold War era, the continent was divided into

5244-424: The historical period in which they were writing, which is not necessarily the same as the period in which they specialized. Chroniclers and annalists , though they are not historians in the true sense, are also frequently included. Past The past is the set of all events that occurred before a given point in time. The past is contrasted with and defined by the present and the future . The concept of

5336-634: The historical record of events that occurred but did not leave significant evidential traces. Silences can happen when contemporaries find information too obvious to document but may also occur if there were specific reasons to withhold or destroy information. Conversely, when large datasets are available, quantitative approaches can be used. For instance, economic and social historians commonly employ statistical analysis to identify patterns and trends associated with large groups. Different schools of thought often come with their own methodological implications for how to write history. Positivists emphasize

5428-684: The individual pieces of evidence fit together to form part of a larger story. Constructing this broader perspective is crucial for a comprehensive understanding of the topic as a whole. It is a creative aspect of historical writing that reconstructs, interprets, and explains what happened by showing how different events are connected. In this way, historians address not only which events occurred but also why they occurred and what consequences they had. While there are no universally accepted techniques for this synthesis, historians rely on various interpretative tools and approaches in this process. One tool to provide an accessible overview of complex developments

5520-457: The influence of religions continued to grow. Missionary religions, like Buddhism, Christianity , and Islam , spread rapidly and established themselves as world religions , marking a cultural shift as they gradually replaced local belief systems. Meanwhile, inter-regional trade networks flourished, leading to increased technological and cultural exchange. Conquering many territories in Asia and Europe,

5612-411: The information content of a source is understood, internal criticism is specifically interested in determining accuracy. Critics ask whether the information is reliable or misrepresents the topic and further question whether the source is comprehensive or omits important details. One way to make these assessments is to evaluate whether the author was able, in principle, to provide a faithful presentation of

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5704-402: The interest in the past held by such peoples as Aboriginal Australians and New Zealand Māori , and the oral records they maintained and transmitted to succeeding generations, even before their contact with Europeans. Historiography has a number of related meanings. Firstly, it can refer to how history has been produced: the story of the development of methodology and practices (for example,

5796-520: The large overlap between mathematics and physics research it is quite common to see both PACS and MSC codes on research papers, particularly for multidisciplinary journals and repositories such as the arXiv . The ACM Computing Classification System (CCS) is a similar hierarchical classification scheme for computer science . There is some overlap between the AMS and ACM classification schemes, in subjects related to both mathematics and computer science, however

5888-692: The modern era, available data is often limited, forcing economic historians to rely on scarce sources and extrapolate information from them. Social history is a broad field investigating social phenomena, but its precise definition is disputed. Some theorists understand it as the study of everyday life outside the domains of politics and economics, including cultural practices, family structures, community interactions, and education. A closely related approach focuses on experience rather than activities, examining how members of particular social groups, like social classes , races , genders , or age groups , experienced their world. Other definitions see social history as

5980-416: The move from short-term biographical narrative toward long-term thematic analysis). Secondly, it can refer to what has been produced: a specific body of historical writing (for example, "medieval historiography during the 1960s" means "Works of medieval history written during the 1960s"). Thirdly, it may refer to why history is produced: the philosophy of history . As a meta-level analysis of descriptions of

6072-414: The offices of those who have previously served in an organization, group, or event such as, "past president," or, "past champions." "Past" can also refer to something or someone being at or in a position that is further than a particular point. For instance, in the sentence, "I live on Fielding Road, just past the train station," the word "past" is used to describe a location (the speaker's residence) beyond

6164-519: The past is derived from the linear fashion in which human observers experience time , and is accessed through memory and recollection . In addition, human beings have recorded the past since the advent of written language. The first known use of the word "past" was in the fourteenth century; it developed as the past participle of the Middle English verb passen meaning "to pass." In English grammar , actions are classified according to one of

6256-411: The past, covering the processes of collecting, evaluating, and synthesizing evidence. It seeks to ensure scholarly rigor, accuracy, and reliability in how historical evidence is chosen, analyzed, and interpreted. Historical research often starts with a research question to define the scope of the inquiry. Some research questions focus on a simple description of what happened. Others aim to explain why

6348-470: The past, either in writing or by passing on an oral tradition , and attempted to answer historical questions through the study of written documents and oral accounts. From the beginning, historians have used such sources as monuments, inscriptions, and pictures. In general, the sources of historical knowledge can be separated into three categories: what is written, what is said, and what is physically preserved, and historians often consult all three. But writing

6440-406: The past, encompassing eyewitness accounts, hearsay , and communal legends . Counterfactual history uses counterfactual thinking to examine alternative courses of history, exploring what could have happened under different circumstances. Certain branches of history are distinguished by their theoretical outlook, such as Marxist and feminist history . Some distinctions focus on the scope of

6532-418: The past, this third conception can relate to the first two in that the analysis usually focuses on the narratives, interpretations, world view , use of evidence, or method of presentation of other historians. Historians debate whether history can be taught as a single coherent narrative or a series of competing narratives. The historical method is a set of techniques historians use to research and interpret

6624-423: The present moment, but rather on its having taken place actively over a time period before another moment in the past. The verb tense used in the sentence "She had been walking in the park regularly before I met her" is past perfect continuous because it describes an action ("walking") that was actively happening before a time when something else in the past was happening (when "I met her"). Depending on its usage in

6716-506: The problems of the present. The period of events before the invention of writing systems is considered prehistory . "History" is an umbrella term comprising past events as well as the memory, discovery, collection, organization, presentation, and interpretation of these events. Historians seek knowledge of the past using historical sources such as written documents, oral accounts or traditional oral histories , art and material artifacts, and ecological markers. Stories common to

6808-403: The process involves distinguishing between original works, mere copies, and deceptive forgeries. Internal criticism evaluates the content of a source, typically beginning with the clarification of the meaning within the source. This involves disambiguating individual terms that could be misunderstood but may also require a general translation if the source is written in an ancient language. Once

6900-502: The role of gender in history, with a particular interest in the experiences of women to challenge patriarchal perspectives. History is a wide field of inquiry encompassing many branches. Some branches focus on a specific time period. Others concentrate on a particular geographic region or a distinct theme. Specializations of different types can usually be combined. For example, a work on economic history in ancient Egypt merges temporal, regional, and thematic perspectives. For topics with

6992-583: The role of international organizations in these processes. Military history studies the impact and development of armed conflicts in human history. This includes the examination of specific events, like the analysis of a particular battle and the discussion of the different causes of a war. It also involves more general considerations about the evolution of warfare, including advancements in military technology , strategies, tactics, and institutions. Economic history examines how commodities are produced, exchanged, and consumed. It covers economic aspects such as

7084-626: The same - only the first level changes. For example, it is not valid to use 53- as a classification. Either 53 on its own or, better yet, a more specific code should be used. Third-level codes are the most specific, usually corresponding to a specific kind of mathematical object or a well-known problem or research area. The third-level code 99 exists in every category and means none of the above, but in this section . The AMS recommends that papers submitted to its journals for publication have one primary classification and one or more optional secondary classifications. A typical MSC subject class line on

7176-612: The scientific nature of historical inquiry, focusing on empirical evidence to discover objective truths . In contrast, postmodernists reject grand narratives that claim to offer a single, objective truth. Instead, they highlight the subjective nature of historical interpretation, which leads to a multiplicity of divergent perspectives. Marxists interpret historical developments as expressions of economic forces and class struggles . The Annales school highlights long-term social and economic trends while relying on quantitative and interdisciplinary methods. Feminist historians study

7268-464: The studied event and to consider the influences of their intentions and prejudices. Being aware of the inadequacies of a source helps historians decide whether and which aspects of it to trust, and how to use it to construct a narrative. The selection, analysis, and criticism of sources result in the validation of a large collection of mostly isolated statements about the past. As a next step, sometimes termed historical synthesis , historians examine how

7360-472: The studied topic. Big history is the branch with the broadest scope, covering everything from the Big Bang to the present. World history is another branch with a wide topic. It examines human history as a whole, starting with the evolution of human-like species. The terms macrohistory , mesohistory , and microhistory refer to different scales of analysis, ranging from large-scale patterns that affect

7452-437: The study of social problems, like poverty, disease, and crime, or take a broader perspective by examining how whole societies developed. Closely related fields include cultural history , gender history , and religious history . Intellectual history is the history of ideas. It studies how concepts, philosophies, and ideologies have evolved. It is particularly interested in academic fields but not limited to them, including

7544-533: The study of the beliefs and prejudices of ordinary people. In addition to studying intellectual movements themselves, it also examines the cultural and social contexts that shaped them and their influence on other historical developments. As closely related fields, the history of philosophy investigates the development of philosophical thought while the history of science studies the evolution of scientific theories and practices. The history of art , another connected discipline, examines historical works of art and

7636-531: The two schemes differ in the details of their organization of those topics. The classification scheme used on the arXiv is chosen to reflect the papers submitted. As arXiv is multidisciplinary its classification scheme does not fit entirely with the MSC, ACM or PACS classification schemes. It is common to see codes from one or more of these schemes on individual papers. History History (derived from Ancient Greek ἱστορία ( historía )  'inquiry; knowledge acquired by investigation')

7728-441: The typical areas of mathematical research, there are top-level categories for " History and Biography ", " Mathematics Education ", and for the overlap with different sciences. Physics (i.e. mathematical physics) is particularly well represented in the classification scheme with a number of different categories including: All valid MSC classification codes must have at least the first-level identifier. The second-level codes are

7820-427: The usage of certain texts and documents (by falsifying their claims to represent the "true past"). Part of the historian's role is to skillfully and objectively use the many sources from the past, most often found in the archives. The process of creating a narrative inevitably generates debate, as historians remember or emphasize different events of the past. The study of history has sometimes been classified as part of

7912-431: The use of land, labor , and capital , the supply and demand of goods, the costs and means of production , and the distribution of income and wealth . Economic historians typically focus on general trends in the form of impersonal forces, such as inflation , rather than the actions and decisions of individuals. If enough data is available, they rely on quantitative methods, like statistical analysis. For periods before

8004-800: The whole globe to detailed studies of small communities, particular individuals, or specific events. Closely related to microhistory is the genre of historical biography , which recounts an individual's life in its historical context and the legacy it left. Public history involves activities that present history to the general public . It usually happens outside the traditional academic settings in contexts like museums , historical sites , and popular media. Professional and amateur historians discover, collect, organize, and present information about past events. They discover this information through archeological evidence, written primary sources, verbal stories or oral histories, and other archival material. In lists of historians , historians can be grouped by order of

8096-601: Was accompanied by other intellectual developments, such as humanism and the Enlightenment , which ushered in secularization . In modern history, beginning at the end of the 18th century, the Industrial Revolution transformed economies by introducing more efficient modes of production. Western powers established vast colonial empires , gaining superiority through industrialized military technology. The increased international exchange of goods, ideas, and people marked

8188-422: Was borrowed from Latin (possibly via Old Irish or Old Welsh ) into Old English as stær ("history, narrative, story"), but this word fell out of use in the late Old English period. Meanwhile, as Latin became Old French (and Anglo-Norman ), historia developed into forms such as istorie , estoire , and historie , with new developments in the meaning: "account of the events of a person's life (beginning of

8280-705: Was in that sense that Aristotle used the word in his History of Animals . The ancestor word ἵστωρ is attested early on in Homeric Hymns , Heraclitus , the Athenian ephebes ' oath, and in Boeotic inscriptions (in a legal sense, either "judge" or "witness", or similar). The Greek word was borrowed into Classical Latin as historia , meaning "investigation, inquiry, research, account, description, written account of past events, writing of history, historical narrative, recorded knowledge of past events, story, narrative". History

8372-399: Was provided by reason , and poetry was provided by fantasy ). In an expression of the linguistic synthetic vs. analytic/isolating dichotomy, English like Chinese (史 vs. 诌) now designates separate words for human history and storytelling in general. In modern German , French , and most Germanic and Romance languages , which are solidly synthetic and highly inflected, the same word

8464-519: Was released as MSC2020 in January 2020. The original classification of older items has not been changed. This can sometimes make it difficult to search for older works dealing with particular topics. Changes at the first level involved the subjects with (present) codes 03, 08, 12-20, 28, 37, 51, 58, 74, 90, 91, 92. For physics papers the Physics and Astronomy Classification Scheme (PACS) is often used. Due to

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