Remarks on the Foundation of Mathematics [Bemerkungen Uber Die Grundlagen Der Mathematik] - Wittgenstein, Ludwig
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2014 Reprint of 1956 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Published in English and German with each text presented on opposing pages. "Remarks on the Foundations of Mathematics" are 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…mehr

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Produktbeschreibung
2014 Reprint of 1956 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Published in English and German with each text presented on opposing pages. "Remarks on the Foundations of Mathematics" are 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. Wittgenstein's philosophy of mathematics is exposed chiefly by simple examples on which further skeptical comments are made. The text offers an extended analysis of the concept of mathematical proof and an exploration of Wittgenstein's contention that philosophical considerations introduce false problems in mathematics. Wittgenstein in the "Remarks" adopts an attitude of doubt in opposition to much orthodoxy in the philosophy of mathematics. Wittgenstein's influence has been felt in nearly every field of the humanities and the social sciences, though many of his views remain controversial. Wittgenstein's work remains, undeniably, now, that of one of those few philosophers who will be read by all future generations. It is by far the richest twentieth-century source of philosophical ideas, which it will take us more decades yet properly to apprehend and to absorb; despite the difficulty with which his work presents the reader, there is nothing that is likely to be more rewarding. The philosophy of mathematics was one of his earliest and most persistent preoccupations.... The present edition is a selection from seven distinct pieces of writing by Wittgenstein prior to his death in 1951.
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Autorenporträt
Ludwig Josef Johann Wittgenstein (26 April 1889 - 29 April 1951) was an Austrian-British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.[12] From 1929 to 1947, Wittgenstein taught at the University of Cambridge.[13] During his lifetime he published just one slim book (the 75-page Tractatus Logico-Philosophicus, 1921), one article ("Some Remarks on Logical Form", 1929), one book review and a children's dictionary.[14][15] His voluminous manuscripts were edited and published posthumously. Philosophical Investigations appeared as a book in 1953. His teacher, Bertrand Russell, described Wittgenstein as "perhaps the most perfect example I have ever known of genius as traditionally conceived; passionate, profound, intense, and dominating".[16] Born in Vienna into one of Europe's richest families, he inherited a fortune from his father in 1913. He initially made some donations to artists and writers, and then, in a period of severe personal depression after the First World War, he gave away his entire fortune to his brothers and sisters.[17][18] Three of his four brothers committed suicide, which Wittgenstein had also contemplated. He left academia several times-serving as an officer on the front line during World War I, where he was decorated a number of times for his courage; teaching in schools in remote Austrian villages where he encountered controversy for hitting children when they made mistakes in mathematics; and working as a hospital porter during World War II in London, where he told patients not to take the drugs they were prescribed while largely managing to keep secret the fact that he was one of the world's most famous philosophers. His philosophy is often divided into an early period, exemplified by the Tractatus, and a later period, articulated in the Philosophical Investigations.[19] "Early Wittgenstein" was concerned with the logical relationship between propositions and the world and he believed that by providing an account of the logic underlying this relationship, he had solved all philosophical problems. "Late Wittgenstein", however, rejected many of the assumptions of the Tractatus, arguing that the meaning of words is best understood as their use within a given language-game.[20] A survey among American university and college teachers ranked the Investigations as the most important book of 20th-century philosophy, standing out as "the one crossover masterpiece in twentieth-century philosophy, appealing across diverse specializations and philosophical orientations".The Investigations also ranked 54th on a list of most influential twentieth-century works in cognitive science prepared by the University of Minnesota's Center for Cognitive Sciences.[21] However, in the words of his friend Georg Henrik von Wright, he believed that "his ideas were generally misunderstood and distorted even by those who professed to be his disciples. He doubted he would be better understood in the future. He once said he felt as though he "was writing for people who would think in a different way, breathe a different air of life, from that of present-day men