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Constructivity in Mathematics

Douglas Bridges • Cubo (2004)

This is an expanded version of the lectures that I delivered to the Department of Pure Mathematics at the University of Calcutta in the period 27 January -6 February 1998. I am most grateful to that University for inviting me to be its Rani...

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Men of Mathematics.

Eric Temple Bell • Journal of Symbolic Logic (1947)

From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of ma...

OPENALEX DOI: https://doi.org/10.2307/2267270

Introduction to Mathematics

Bruce E. Meserve, Max A. Sobel • Andalas University Repository (Andalas University) (1970)

Introduction to mathematics , Introduction to mathematics , کتابخانه دیجیتالی دانشگاه علوم پزشکی و خدمات درمانی شهید بهشتی...

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Naturalism in Mathematics

Penelope Maddy (2000)

Abstract It is well known that certain natural statements of set theory, like Cantor's continuum hypothesis (CH), cannot be proved or disproved on the basis of the standard axioms (Zermelo–Fraenkel with Choice or ZFC). Some philosophers tak...

OPENALEX DOI: https://doi.org/10.1093/0198250754.001.0001

Realism in Mathematics

Penelope Maddy (1992)

Abstract Many mathematicians understand their work as an effort to describe the denizens and features of an abstract mathematical world or worlds. Most philosophers of mathematics consider views of this sort highly problematic, largely due ...

OPENALEX DOI: https://doi.org/10.1093/019824035x.001.0001

The Indispensability of Mathematics

Mark Colyvan (2001)

Abstract Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best sci...

OPENALEX DOI: https://doi.org/10.1093/019513754x.001.0001

Introduction to Mathematical Philosophy

Bertrand Russell, Michael Potter • Routledge eBooks (2022)

"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless th...

OPENALEX DOI: https://doi.org/10.4324/9781003308881