Truth, Proof and Infinity

Truth, Proof and Infinity
Author :
Publisher : Springer Science & Business Media
Total Pages : 477
Release :
ISBN-10 : 9789401736169
ISBN-13 : 9401736162
Rating : 4/5 (162 Downloads)

Book Synopsis Truth, Proof and Infinity by : P. Fletcher

Download or read book Truth, Proof and Infinity written by P. Fletcher and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction' and `proof' has never been adequately explained (although Kriesel, Goodman and Martin-Löf have attempted axiomatisations). This monograph develops precise (though not wholly formal) definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Interpretations of Heyting arithmetic and constructive analysis are given. The philosophical basis of constructivism is explored thoroughly in Part I. The author seeks to answer objections from platonists and to reconcile his position with the central insights of Hilbert's formalism and logic. Audience: Philosophers of mathematics and logicians, both academic and graduate students, particularly those interested in Brouwer and Hilbert; theoretical computer scientists interested in the foundations of functional programming languages and program correctness calculi.


Truth, Proof and Infinity Related Books

Truth, Proof and Infinity
Language: en
Pages: 477
Authors: P. Fletcher
Categories: Philosophy
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what construct
The Science of Mind
Language: en
Pages: 310
Authors: Ernest Holmes
Categories: Self-Help
Type: BOOK - Published: 2023-03-28 - Publisher: Gildan Media LLC aka G&D Media

DOWNLOAD EBOOK

This BEAUTIFULLY DESIGNED UNABRIDGED ORIGINAL CLASSIC EDITION WILL HELP YOU TRANSFORM YOUR LIFE! The Science of Mind is the revolutionary religious proposal, or
The Secret Life of Money
Language: en
Pages: 258
Authors: Tad Crawford
Categories: Business & Economics
Type: BOOK - Published: 2020-10-06 - Publisher: Simon and Schuster

DOWNLOAD EBOOK

The Secret Life of Money leads readers on a fascinating journey to uncover the sources of our monetary desires and, by understanding why money has the power to
Microeconomics
Language: en
Pages: 368
Authors: Thijs ten Raa
Categories: Business & Economics
Type: BOOK - Published: 2017-09-16 - Publisher: Bloomsbury Publishing

DOWNLOAD EBOOK

Microeconomics: Equilibrium and Efficiency teaches how to apply microeconomic theory in an innovative, intuitive and concise way. Using real-world, empirical ex
Math in Drag
Language: en
Pages: 277
Authors: Kyne Santos
Categories: Mathematics
Type: BOOK - Published: 2024-03-05 - Publisher: JHU Press

DOWNLOAD EBOOK

"This work subverts a dull image of mathematics, showing us how math can sparkle and sashay and transforming the way we think about numbers"--