Truth, Proof and Infinity
- Authorized Dealer
- Ships within 1 business day
- Free 30-Day Returns
- Secure Checkout via Shopify Payments
Details
"Truth, Proof and Infinity" by P. Fletcher is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
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.
Materials + Care
We prioritize quality in selecting the materials for our items, choosing premium fabrics and finishings that ensure durability, comfort, and timeless appeal.
Shipping + Returns
We strive to process and ship all orders in a timely manner, working diligently to ensure that your items are on their way to you as soon as possible.
"Truth, Proof and Infinity" by P. Fletcher is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Core Mathematics
Author: P. Fletcher
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | P. Fletcher |
| Publisher | Springer |
| Published | 1998-10-31 |
| ISBN-13 | 9780792352624 |
| Binding | Hardcover |
| Pages | 470 |
| Language | English |
| Subjects | Philosophy |
| Topic | Core Mathematics |
| Series | Synthese Library |
Format: Hardcover
Length: 470 pages
Language: English
Shop by collection
Books
