翻訳と辞書
Words near each other
・ Preignac
・ Preignan
・ Preigney
・ Preikestolen
・ Preikestolen Ridge
・ Preila
・ Preimage attack
・ Preimage theorem
・ Preimplantation genetic diagnosis
・ Preimplantation genetic haplotyping
・ Preincarnate
・ Preincarnate (novel)
・ Preincarnation
・ Preiner Gscheid Pass
・ Preinitiation complex
Preintuitionism
・ Preis
・ Preis der Deutschen Einheit
・ Preis der deutschen Filmkritik
・ Preis der deutschen Schallplattenkritik
・ Preis der Diana
・ Preis der Europäischen Kirchenmusik
・ Preis der Literaturhäuser
・ Preis der Sparkassen-Finanzgruppe
・ Preis der Stadt Münster für Europäische Poesie
・ Preis der Stadt Wien für Geisteswissenschaften
・ Preis der SWR-Bestenliste
・ Preis der Winterkönigin
・ Preis des Winterfavoriten
・ Preis von Europa


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Preintuitionism : ウィキペディア英語版
Preintuitionism
In the mathematical philosophy, the pre-intuitionists were a small but influential group who informally shared similar philosophies on the nature of mathematics. The term itself was used by L. E. J. Brouwer, who in his 1951 lectures at Cambridge described the differences between intuitionism and its predecessors:
Of a totally different orientation (the "Old Formalist School" of Dedekind, Cantor, Peano, Zermelo, and Couturat, etc. ) was the Pre-Intuitionist School, mainly led by Poincaré, Borel and Lebesgue. These thinkers seem to have maintained a modified observational standpoint for the introduction of natural numbers, for the principle of complete induction () For these, even for such theorems as were deduced by means of classical logic, they postulated an existence and exactness independent of language and logic and regarded its non-contradictority as certain, even without logical proof. For the continuum, however, they seem not to have sought an origin strictly extraneous to language and logic.

==The introduction of natural numbers==

The Pre-Intuitionists, as defined by Brouwer, differed from the Formalist standpoint in several ways, particularly in regard to the introduction of natural numbers, or how the natural numbers are defined/denoted. For Poincaré, the definition of a mathematical entity is the construction of the entity itself and not an expression of an underlying essence or existence.
This is to say that no mathematical object exists without human construction of it, both in mind and language.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Preintuitionism」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.