Michael Dummett in the context of "Gottlob Frege"

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⭐ Core Definition: Michael Dummett

Sir Michael Anthony Eardley Dummett FBA (/ˈdʌmɪt/; 27 June 1925 – 27 December 2011) was an English academic described as "among the most significant British philosophers of the last century and a leading campaigner for racial tolerance and equality." He was, until 1992, Wykeham Professor of Logic at the University of Oxford. He wrote on the history of analytic philosophy, notably as an interpreter of Frege, and made original contributions particularly in the philosophies of mathematics, logic, language and metaphysics.

He was known for his work on truth and meaning and their implications to debates between realism and anti-realism, a term he helped to popularize. In mathematical logic, he developed an intermediate logic, a logical system intermediate between classical logic and intuitionistic logic that had already been studied by Kurt Gödel: the Gödel–Dummett logic. In voting theory, he devised the Quota Borda system of proportional voting, based on the Borda count, and conjectured the Gibbard–Satterthwaite theorem together with Robin Farquharson; he also devised the condition of proportionality for solid coalitions. Besides his main work in analytic philosophy, he also wrote extensively on the history of card games, particularly on tarot card games.

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👉 Michael Dummett in the context of Gottlob Frege

Friedrich Ludwig Gottlob Frege (/ˈfrɡə/; German: [ˈɡɔtloːp ˈfreːɡə]; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philosophy, concentrating on the philosophy of language, logic, and mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be one of the greatest logicians since Aristotle, and one of the most profound philosophers of mathematics ever.

His contributions include the development of modern logic in the Begriffsschrift and work in the foundations of mathematics. His book the Foundations of Arithmetic is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic turn. His philosophical papers "On Sense and Reference" and "The Thought" are also widely cited. The former argues for two different types of meaning and descriptivism. In Foundations and "The Thought", Frege argues for Platonism against psychologism or formalism, concerning numbers and propositions respectively.

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Michael Dummett in the context of Anti-realist

In analytic philosophy, anti-realism is the position that the truth of a statement rests on its demonstrability through internal logic mechanisms, such as the context principle or intuitionistic logic, in direct opposition to the realist notion that the truth of a statement rests on its correspondence to an external, independent reality. In anti-realism, this external reality is hypothetical and is not assumed.

There are many varieties of anti-realism, such as metaphysical, mathematical, semantic, scientific, moral and epistemic. The term was first articulated by British philosopher Michael Dummett in an argument against a form of realism Dummett saw as 'colorless reductionism'.

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Michael Dummett in the context of Semantics of logic

In logic, the semantics or formal semantics is the study of the meaning and interpretation of formal languages, formal systems, and (idealizations of) natural languages. This field seeks to provide precise mathematical models that capture the pre-theoretic notions of truth, validity, and logical consequence. While logical syntax concerns the formal rules for constructing well-formed expressions, logical semantics establishes frameworks for determining when these expressions are true and what follows from them.

The development of formal semantics has led to several influential approaches, including model-theoretic semantics (pioneered by Alfred Tarski), proof-theoretic semantics (associated with Gerhard Gentzen and Michael Dummett), possible worlds semantics (developed by Saul Kripke and others for modal logic and related systems), algebraic semantics (connecting logic to abstract algebra), and game semantics (interpreting logical validity through game-theoretic concepts). These diverse approaches reflect different philosophical perspectives on the nature of meaning and truth in logical systems.

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Michael Dummett in the context of Philosophy, politics and economics

Philosophy, politics and economics, or politics, philosophy and economics (PPE), is an interdisciplinary undergraduate or postgraduate degree which combines study from three disciplines. The first institution to offer degrees in PPE was the University of Oxford in the 1920s. This particular course has produced a significant number of notable graduates such as Aung San Suu Kyi, Burmese politician and former State Counsellor of Myanmar, Nobel Peace Prize winner; Princess Haya bint Hussein, daughter of the late King Hussein of Jordan; Christopher Hitchens, the British–American author and journalist; Will Self, British author and journalist; Oscar-winning writer and director Florian Henckel von Donnersmarck; Michael Dummett, Gareth Evans, Philippa Foot, Christopher Peacocke, Gilbert Ryle, Paul Snowdon, and Peter Strawson, philosophers; Harold Wilson, Edward Heath, David Cameron, Liz Truss and Rishi Sunak, Prime Ministers of the United Kingdom; Hugh Gaitskell, Michael Foot, William Hague and Ed Miliband, former Leaders of the Opposition; former Prime Ministers of Pakistan Benazir Bhutto and Imran Khan; and Malcolm Fraser, Bob Hawke and Tony Abbott, former Prime Ministers of Australia; and Malala Yousafzai, Nobel Peace Prize winner.

In the 1980s, the University of York went on to establish its own PPE degree based upon the Oxford model; King's College London, the University of Warwick, the University of Manchester, and other British universities later followed. According to the BBC, the Oxford PPE "dominate[s] public life" in the UK. It is now offered at several other leading colleges and universities around the world. More recently Warwick University and King's College added a new degree under the name of PPL (Politics, Philosophy and Law) with the aim to bring an alternative to the more classical PPE degrees.

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Michael Dummett in the context of Foundations of Arithmetic

The Foundations of Arithmetic (German: Die Grundlagen der Arithmetik) is a book by Gottlob Frege, published in 1884, which investigates the philosophical foundations of arithmetic. Frege refutes other idealist and materialist theories of number and develops his own platonist theory of numbers. The Grundlagen also helped to motivate Frege's later works in logicism.

The book was also seminal in the philosophy of language. Michael Dummett traces the linguistic turn to Frege's Grundlagen and his context principle.

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Michael Dummett in the context of Allan Gibbard

Allan Fletcher Gibbard (born 1942) is an American philosopher who is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the University of Michigan, Ann Arbor. Gibbard has made major contributions to contemporary ethical theory, in particular metaethics, where he has developed a contemporary version of non-cognitivism. He has also published articles in the philosophy of language, metaphysics, and social choice theory: in social choice, he first proved the result known today as Gibbard-Satterthwaite theorem, which had been previously conjectured by Michael Dummett and Robin Farquharson.

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