Mathematics, Foundations Of - Research Article from Macmillan Science Library: Plant Sciences

This encyclopedia article consists of approximately 105 pages of information about Mathematics, Foundations Of.
This section contains 30,110 words
(approx. 101 pages at 300 words per page)
Buy the Mathematics, Foundations Of Encyclopedia Article

The study of the foundations of mathematics comprises investigations, though probably not all possible investigations, that consist of general reflection on mathematics. The subject naturally proceeds by singling out certain concepts and principles as "fundamental" and concentrating attention on them, but of course the identification of fundamental concepts and principles is itself based on foundational research or may be revised in the light of it.

In this entry considerable emphasis will be placed on philosophical questions about mathematics, which undoubtedly belong to foundations. However, many, perhaps most, foundational investigations are mainly mathematical. In the last hundred years an important role has been played by mathematical logic. We shall not give a detailed exposition of mathematical logic, but we hope that our discussion will give an idea of the relation between the logical problems and results and the philosophical problems and an idea of some...

(read more)

This section contains 30,110 words
(approx. 101 pages at 300 words per page)
Buy the Mathematics, Foundations Of Encyclopedia Article
Copyrights
Macmillan
Mathematics, Foundations Of from Macmillan. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
Follow Us on Facebook