From Mathematics to Philosophy

Douban
From Mathematics to Philosophy

Zum Bewerten, Kommentieren oder Hinzufügen des Artikels zu deiner Sammlung, musst du dich anmelden oder registrieren.

Verwandte Sammlungen

想读的科学技术书籍

ISBN: 9781138687790
Autor/in: Hao Wang
Verlag: Routledge
Veröffentlichungsdatum: 1974
Anzahl der Seiten: 440

/ 10

0 Bewertungen

Nicht genug Bewertungen
Leihen oder Kaufen

从数学到哲学

Hao Wang   

Übersicht

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

Inhalt

Preface
A note on the text
Introduction
I. Mathematical logic and philosophy of mathematics
II. Characterization of general mathematical concepts
III. Russel's logic and some general issues
IV. Logical truth
V. Metalogic
VI. The concept of set
VII. Theory and practice in mathematics
VIII. Necessity, analyticity, and apriority
IX. Mathematics and computers
X. Mind and machines
XI. Note on knowledge and life
XII. Themes and approaches

Kommentare
Rezensionen
Notes