H. G. Dales / G. Oliveri (eds.)

Truth in Mathematics

Herausgeber: Dales, H G; Oliveri, G.

• Gebundenes Buch

Produktbeschreibung

The nature of truth in mathematics has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth century and in particular the work by Godel and the development of the notion of independence in mathematics have led to new and complex views on this question. Collecting the work of a number of outstanding mathematicians and philosophers, including Yurii Manin, Vaughan Jones, and Per Martin-Lof, this volume provides an overview of the forefront of current thinking and a valuable introduction for researchers in the area.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 392
• Erscheinungstermin: 10. Dezember 1998
• Englisch
• Abmessung: 234mm x 156mm x 22mm
• Gewicht: 730g
• ISBN-13: 9780198514763
• ISBN-10: 019851476X
• Artikelnr.: 24075046

Inhaltsangabe

* 1: Truth and the foundations of mathematics. An introduction
* 2: Truth and obvjectivity from a verificationist point of view
* 3: Constructive truth in practice
* 4: On founding the theory of algorithms
* 5: Truth and knowability: on the principles of C and K of Michael
Dummett
* 6: Logical completeness, truth, and proofs
* 7: Mathematics as a language
* 8: Truth, rigour, and common sense
* 9: How to be a naturalist about mathematics
* 10: The mathematician as a formalist
* 11: A credo of sorts
* 12: Mathematical evidence
* 13: Mathematical definability
* 14: True to the pattern
* 15: Foundations of set theory
* 16: Which undecidable mathematical sentences have determinate truth
values?
* 17: Two conceptions of natural number
* 18: The tower of Hanoi