Remarks on the Foundation of Mathematics [Bemerkungen Uber Die Grundlagen Der Mathematik] - Couverture souple

Wittgenstein, Ludwig

Couverture souple

ISBN 10 : 1614276501 ISBN 13 : 9781614276500

Editeur : Martino Fine Books, 2014

Synopsis

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.

A propos du livre

Quatrième de couverture

This substantially revised edition of Wittgenstein′s Remarks on theFoundations of Mathematics contains one section, an essay of fiftypages, not previously published, as well as considerable additionsto others sections. In Parts I, II and III, Wittgenstein discussesamongst other things the idea that all strict reasoning, and so allmathematics, are built on the ′fundamental calculus′ which islogic. These parts give the most thorough discussion of Russell′slogic. He writes on mathematical proof and the question of wherethe proofs of mathematics get their force and cogency, if they arenot reducible to proofs in logic. Thsi leads him todiscuss′contradiction in mathematics′ and ′consistency proofs′. Heworks against the view that there is a sharp division between′grammatical propositions′ and ′empirical prepositions′. He asks usat one point to imagine a people who made no distinction betweenthe applied mathematics and pure mathematics, although they countedand calculated. Could we say they had proofs? Here is a feature ofhis method which becomes more imporatnt; what Wittgenstein calls,at least half seriously, ′the anthropological method inphilosophy′. This emerges in Parts V, VI and VIII.

In Part VI, published here for the first time, Wittgenstein bringstogeher the view that in mathematics proofs ae ′concept forming′and the view that language and logic and mathematics ′presuppose′common ways of acting and of living among the people who give thamand are convinced by them. Part VIII now has a fuller discussion ofdifficulties in the notion of ′following a rule′ in calculation andthe notion of logical necessity.

Détails de l'édition

• Éditeur: Martino Fine Books
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 1614276501
• ISBN 13: 9781614276500
• Reliure: Broché
• Nombre de pages: 438
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible