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Mathesis Universalis
(from el, μάθησις, "science or learning", and la, universalis "universal") is a hypothetical universal science modelled on mathematics envisaged by Descartes and Leibniz, among a number of other 16th- and 17th-century philosophers and mathematicians. For Leibniz, it would be supported by a ''calculus ratiocinator''. John Wallis invokes the name as title in his ''Opera Mathematica'', a textbook on arithmetic, algebra, and Cartesian geometry. History Descartes' most explicit description of ''mathesis universalis'' occurs in ''Rule Four'' of the ''Rules for the Direction of the Mind'', written before 1628. Leibniz attempted to work out the possible connections between mathematical logic, algebra, infinitesimal calculus, combinatorics, and universal characteristics in an incomplete treatise titled "''Mathesis Universalis''" in 1695. Predicate logic could be seen as a modern system with some of these ''universal'' qualities, at least as far as mathematics and computer s ...
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Wallis - Opera Mathematica, 1657 - 4611280
Wallis (derived from ''Wallace'') may refer to: People * Wallis (given name) **Wallis, Duchess of Windsor * Wallis (surname) Places * Wallis (Ambleston), a hamlet within the parish of Ambleston in Pembrokeshire, West Wales, United Kingdom * Wallis, Mississippi, an unincorporated community, United States * Wallis, Texas, a city, United States * Wallis and Futuna, a French overseas department ** Wallis Island, one of the islands of Wallis and Futuna * Valais, a Swiss canton with the German name "Wallis" * Walliswil bei Niederbipp, a municipality in the Oberaargau administrative district, canton of Bern, Switzerland * Walliswil bei Wangen, a municipality in the Oberaargau administrative district, canton of Bern, Switzerland Brands and enterprises * Wallis (retailer), a British clothing retailer * Wallis Theatres, an Australian cinema franchise See also * Wallace (other) Wallace may refer to: People * Clan Wallace in Scotland * Wallace (given name) * Wallace (su ...
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Computer Science
Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical disciplines (including the design and implementation of Computer architecture, hardware and Computer programming, software). Computer science is generally considered an area of research, academic research and distinct from computer programming. Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and for preventing Vulnerability (computing), security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Progr ...
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Intellectual History
Intellectual history (also the history of ideas) is the study of the history of human thought and of intellectuals, people who conceptualize, discuss, write about, and concern themselves with ideas. The investigative premise of intellectual history is that ideas do not develop in isolation from the thinkers who conceptualize and apply those ideas; thus the intellectual historian studies ideas in two contexts: (i) as abstract propositions for critical application; and (ii) in concrete terms of culture, life, and history. As a field of intellectual enquiry, the history of ideas emerged from the European disciplines of '' Kulturgeschichte'' (Cultural History) and ''Geistesgeschichte'' (Intellectual History) from which historians might develop a global intellectual history that shows the parallels and the interrelations in the history of critical thinking in every society. Likewise, the history of reading, and the history of the book, about the material aspects of book production (des ...
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Mathematical Logic
Mathematical logic is the study of logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics. Since its inception, mathematical logic has both contributed to and been motivated by the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and Mathematical analysis, analysis. In the early 20th century it was shaped by David Hilbert's Hilbert's program, program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in pr ...
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Lingua Generalis
''Lingua generalis'' was an essay written by Gottfried Leibniz in February, 1678 in which he presented a philosophical language he created, which he named lingua generalis or lingua universalis. Leibniz aimed for his lingua universalis to be adopted as a universal language and be used for calculations. As a result of this work, he developed binary calculus. References See also *Constructed language A constructed language (sometimes called a conlang) is a language whose phonology, grammar, and vocabulary, instead of having developed naturally, are consciously devised for some purpose, which may include being devised for a work of fiction. ... Constructed languages International auxiliary languages Constructed languages introduced in the 17th century 1678 works Works by Gottfried Wilhelm Leibniz {{conlang-stub ...
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Michel Foucault
Paul-Michel Foucault (, ; ; 15 October 192625 June 1984) was a French philosopher, historian of ideas, writer, political activist, and literary critic. Foucault's theories primarily address the relationship between power and knowledge, and how they are used as a form of social control through societal institutions. Though often cited as a structuralist and postmodernist, Foucault rejected these labels. His thought has influenced academics, especially those working in communication studies, anthropology, psychology, sociology, criminology, cultural studies, literary theory, feminism, Marxism and critical theory. Born in Poitiers, France, into an upper-middle-class family, Foucault was educated at the Lycée Henri-IV, at the École Normale Supérieure, where he developed an interest in philosophy and came under the influence of his tutors Jean Hyppolite and Louis Althusser, and at the University of Paris (Sorbonne), where he earned degrees in philosophy and psychology. Aft ...
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The Order Of Things
''The Order of Things: An Archaeology of the Human Sciences'' (Les mots et les choses: Une archéologie des sciences humaines, 1966) by French philosopher Michel Foucault proposes that every historical period has underlying epistemic assumptions, ways of thinking, which determine what is truth and what is acceptable discourse about a subject, by delineating the origins of biology, economics, and linguistics. The introduction to the origins of the human sciences begins with detailed, forensic analyses and discussion of the complex networks of sightlines, hidden-ness, and representation that exist in the group painting (''The Ladies-in-waiting'', 1656) by Diego Velázquez. Foucault's application of the analyses shows the structural parallels in the similar developments in perception that occurred in researchers’ ways of seeing the subject in the human sciences. The concept of episteme In ''The Order of Things: An Archaeology of the Human Sciences'' Foucault said that an hist ...
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De Arte Combinatoria
The ''Dissertatio de arte combinatoria'' ("Dissertation on the Art of Combinations" or "On the Combinatorial Art") is an early work by Gottfried Leibniz published in 1666 in Leipzig. It is an extended version of his first doctoral dissertation, written before the author had seriously undertaken the study of mathematics.Gottfried Wilhelm Leibniz. ''Hauptschriften zur Grundlegung der Philosophie. Zur allgemeinen Charakteristik.'' ''Philosophische Werke'' Band 1. p. 32. Translated in German by Artur Buchenau. Published, reviewed and added an introduction and notes by Ernst Cassirer. Hamburg: Felix Meiner, 1966, p. 32. The booklet was reissued without Leibniz' consent in 1690, which prompted him to publish a brief explanatory notice in the ''Acta Eruditorum''. During the following years he repeatedly expressed regrets about its being circulated as he considered it immature.Leibniz complained to various correspondents, e.g., to Morell (1 October 1697) or to Meier (23 January 1699); see ' ...
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Latin
Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the Roman Republic it became the dominant language in the Italian region and subsequently throughout the Roman Empire. Even after the fall of Western Rome, Latin remained the common language of international communication, science, scholarship and academia in Europe until well into the 18th century, when other regional vernaculars (including its own descendants, the Romance languages) supplanted it in common academic and political usage, and it eventually became a dead language in the modern linguistic definition. Latin is a highly inflected language, with three distinct genders (masculine, feminine, and neuter), six or seven noun cases (nominative, accusative, genitive, dative, ablative, and vocative), five declensions, four verb conjuga ...
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Truth
Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs, propositions, and declarative sentences. Truth is usually held to be the opposite of falsehood. The concept of truth is discussed and debated in various contexts, including philosophy, art, theology, and science. Most human activities depend upon the concept, where its nature as a concept is assumed rather than being a subject of discussion; these include most of the sciences, law, journalism, and everyday life. Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspondence theory of truth. Various theo ...
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John Cottingham
John Cottingham (born 1943) is an English philosopher. The focus of his research has been early-modern philosophy (especially Descartes), the philosophy of religion and moral philosophy.Athanassoulis, Nafsika and Vice, Samantha eds. (2008) ''The Moral Life: Essays in Honour of John Cottingham'', Palgrave Macmillan He is a Professor Emeritus of Philosophy at the University of Reading, Professorial Research Fellow at Heythrop College, University of London, and Honorary Fellow of St John's College, Oxford. He is also a current Visiting Professor to the Philosophy Department at King's College, London. Cottingham has served as editor of the journal Ratio, president of the Aristotelian Society, of the British Society for the Philosophy of Religion, of the Mind Association and as Chairman of the British Society for the History of Philosophy. A Festschrift with responses by Cottingham, ''The Moral Life'', was published by Palgrave in 2008. Cottingham was educated at Merchant Taylo ...
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