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Remarks On The Foundations Of Mathematics
''Remarks on the Foundations of Mathematics'' (german: Bemerkungen über die Grundlagen der Mathematik) is a book of Ludwig Wittgenstein's notes on the philosophy of mathematics. It has been translated from German to English by G.E.M. Anscombe, edited by G.H. von Wright and Rush Rhees, and published first in 1956. The text has been produced from passages in various sources by selection and editing. The notes have been written during the years 1937–1944 and a few passages are incorporated in the ''Philosophical Investigations'' which were composed later. When the book appeared it received many negative reviews mostly from working logicians and mathematicians, among them Michael Dummett, Paul Bernays, and Georg Kreisel. Today ''Remarks on the Foundations of Mathematics'' is read mostly by philosophers sympathetic to Wittgenstein and they tend to adopt a more positive stance. Wittgenstein's philosophy of mathematics is exposed chiefly by simple examples on which further skept ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hilary Putnam
Hilary Whitehall Putnam (; July 31, 1926 – March 13, 2016) was an American philosopher, mathematician, and computer scientist, and a major figure in analytic philosophy in the second half of the 20th century. He made significant contributions to philosophy of mind, philosophy of language, philosophy of mathematics, and philosophy of science. Outside philosophy, Putnam contributed to mathematics and computer science. Together with Martin Davis he developed the Davis–Putnam algorithm for the Boolean satisfiability problem and he helped demonstrate the unsolvability of Hilbert's tenth problem. Putnam was known for his willingness to apply equal scrutiny to his own philosophical positions as to those of others, subjecting each position to rigorous analysis until he exposed its flaws. As a result, he acquired a reputation for frequently changing his positions. In philosophy of mind, Putnam is known for his argument against the type-identity of mental and physical states based on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Books By Ludwig Wittgenstein
A book is a medium for recording information in the form of writing or images, typically composed of many pages (made of papyrus, parchment, vellum, or paper) bound together and protected by a cover. The technical term for this physical arrangement is '' codex'' (plural, ''codices''). In the history of hand-held physical supports for extended written compositions or records, the codex replaces its predecessor, the scroll. A single sheet in a codex is a leaf and each side of a leaf is a page. As an intellectual object, a book is prototypically a composition of such great length that it takes a considerable investment of time to compose and still considered as an investment of time to read. In a restricted sense, a book is a self-sufficient section or part of a longer composition, a usage reflecting that, in antiquity, long works had to be written on several scrolls and each scroll had to be identified by the book it contained. Each part of Aristotle's ''Physics'' is called a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1953 Non-fiction Books
Events January * January 6 РThe Asian Socialist Conference opens in Rangoon, Burma. * January 12 РEstonian ̩migr̩s found a government-in-exile in Oslo. * January 14 ** Marshal Josip Broz Tito is chosen President of Yugoslavia. ** The CIA-sponsored Robertson Panel first meets to discuss the UFO phenomenon. * January 15 РGeorg Dertinger, foreign minister of East Germany, is arrested for spying. * January 19 Р71.1% of all television sets in the United States are tuned into '' I Love Lucy'', to watch Lucy give birth to Little Ricky, which is more people than those who tune into Dwight Eisenhower's inauguration the next day. This record has yet to be broken. * January 20 РDwight D. Eisenhower is sworn in as the 34th President of the United States. * January 24 ** Mau Mau Uprising: Rebels in Kenya kill the Ruck family (father, mother, and six-year-old son). ** Leader of East Germany Walter Ulbricht announces that agriculture will be collectiv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Internet Encyclopedia Of Philosophy
The ''Internet Encyclopedia of Philosophy'' (''IEP'') is a scholarly online encyclopedia, dealing with philosophy, philosophical topics, and philosophers. The IEP combines open access publication with peer reviewed publication of original papers. Contribution is generally by invitation, and contributors are recognized and leading international specialists within their field. History The ''IEP'' was founded by philosopher James Fieser in 1995, operating through a non-profit organization with the aim of providing accessible and scholarly information on philosophy.Kooy, B. 2015. 'Internet Encyclopedia of Philosophy', in ''Reference Review,'' Vol.29, No.4, p.12; see also The current general editors are philosophers James Fieser and Bradley Dowden, with the staff also including numerous area editors as well as volunteers. The entire website was redesigned in the summer of 2009, moving from static HTML pages to the open-source publishing platform ''WordPress''. Organization The i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rebecca Goldstein
Rebecca Newberger Goldstein (born February 23, 1950) is an American philosopher, novelist, and public intellectual. She has written ten books, both fiction and non-fiction. She holds a Ph.D. in philosophy of science from Princeton University, and is sometimes grouped with novelists such as Richard Powers and Alan Lightman, who create fiction that is knowledgeable of, and sympathetic toward, science. In her three non-fiction works, she has shown an affinity for philosophical rationalism, as well as a conviction that philosophy, like science, makes progress, and that scientific progress is itself supported by philosophical arguments. She has also stressed the role that secular philosophical reason has made in moral advances. Increasingly, in her talks and interviews, she has been exploring what she has called "mattering theory" as an alternative to traditional utilitarianism. This theory is a continuation of her idea of "the mattering map", first suggested in her novel ''The Mindâ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nachlass
''Nachlass'' (, older spelling ''Nachlaß'') is a German word, used in academia to describe the collection of manuscripts, notes, correspondence, and so on left behind when a scholar dies. The word is a compound in German: ''nach'' means "after", and the verb ''lassen'' means "to leave". The plural can be either ''Nachlasse'' or (with Umlaut) ''Nachlässe''. The word is not commonly used in English; and when it is, it is often italicized or printed in capitalized form to indicate its foreign provenance. Editing and preserving a Nachlass The ''Nachlass'' of an important scholar is often placed in a research library or scholarly archive. Other workers in the scholar's area of specialization may obtain permission to comb through the Nachlass, seeking important unpublished scholarly contributions or biographical material. The content of a Nachlass can be catalogued, edited, and in some cases published in book form. Such publication is more difficult for a ''Nachlass'' that conta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tractatus Logico-Philosophicus
The ''Tractatus Logico-Philosophicus'' (widely abbreviated and cited as TLP) is a book-length philosophical work by the Austrian philosopher Ludwig Wittgenstein which deals with the relationship between language and reality and aims to define the limits of science. Wittgenstein wrote the notes for the ''Tractatus'' while he was a soldier during World War I and completed it during a military leave in the summer of 1918. It was originally published in German in 1921 as ''Logisch-Philosophische Abhandlung'' (Logical-Philosophical Treatise). In 1922 it was published together with an English translation and a Latin title, which was suggested by G. E. Moore as homage to Baruch Spinoza's ''Tractatus Theologico-Politicus'' (1670). The ''Tractatus'' is written in an austere and succinct literary style, containing almost no arguments as such, but consists of altogether 525 declarative statements, which are hierarchically numbered. The ''Tractatus'' is recognized by philosophers as a signi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ideal Language Philosophy
Ideal language philosophy is contrasted with ordinary language philosophy. From about 1910 to 1930, analytic philosophers like Bertrand Russell and Ludwig Wittgenstein emphasized creating an ideal language for philosophical analysis, which would be free from the ambiguities of natural language that, in their opinion, often made for philosophical error. During this phase, Russell and Wittgenstein sought to understand language (and hence philosophical problems) by using formal logic to formalize the way in which philosophical statements are made. Wittgenstein developed a comprehensive system of logical atomism in his ''Tractatus Logico-Philosophicus'' ( de , Logisch-Philosophische Abhandlung, 1921). He thereby argued that the universe is the totality of facts and not things: actual states of affairs and that these states of affairs can be expressed by the language of first-order predicate logic. Thus a ''picture'' of the universe can be construed by means of expressing atomic facts in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vienna Circle
The Vienna Circle (german: Wiener Kreis) of Logical Empiricism was a group of elite philosophers and scientists drawn from the natural and social sciences, logic and mathematics who met regularly from 1924 to 1936 at the University of Vienna, chaired by Moritz Schlick. The Vienna Circle's influence on 20th-century philosophy, especially philosophy of science and analytic philosophy, is immense up to the present day. The philosophical position of the Vienna Circle was called logical empiricism (German: ''logischer Empirismus''), logical positivism or neopositivism. It was influenced by Ernst Mach, David Hilbert, French conventionalism ( Henri Poincaré and Pierre Duhem), Gottlob Frege, Bertrand Russell, Ludwig Wittgenstein and Albert Einstein. The Vienna Circle was pluralistic and committed to the ideals of the Enlightenment. It was unified by the aim of making philosophy scientific with the help of modern logic. Main topics were foundational debates in the natural and social s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kurt Gödel
Kurt Friedrich Gödel ( , ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel had an immense effect upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell,For instance, in their "Principia Mathematica' (''Stanford Encyclopedia of Philosophy'' edition). Alfred North Whitehead, and David Hilbert were using logic and set theory to investigate the foundations of mathematics, building on earlier work by the likes of Richard Dedekind, Georg Cantor and Frege. Gödel published his first incompleteness theorem in 1931 when he was 25 years old, one year after finishing his doctorate at the University of Vienna. The first incompleteness theorem states that for any ω-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (for example P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Juliet Floyd
Juliet Floyd is professor of philosophy at Boston University. Her strongest research interests lie in early analytic philosophy (on which she has edited a volume) and she has used early analytic philosophy as a lens to examine a diverse array of topics. Education and career Floyd received a bachelor's degree in philosophy from Wellesley College in 1982, and went on to study at Harvard University, being awarded a doctorate in philosophy in 1990. After receiving her doctorate, she accepted an appointment as assistant professor of philosophy at the City College of New York. She spent a term as a visiting assistant professor of philosophy at Boston University in 1995, before accepting a permanent associate professorship of philosophy there in 1996. In 2003 she received cross-appointments in the Institute of Editorial Studies, the Institute for the Philosophy of Religion, and the Department of Philosophy. She was promoted to full professor of philosophy in 2006. Floyd has also spent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
