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Maddy's Solution to the Problem of Reference

Charles S. Chihara

in Constructibility and Mathematical Existence

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239758
eISBN:
9780191597190
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198239750.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics

Penelope Maddy has attempted to develop a form of realism in mathematics (Set Theoretical Realism) that is not plagued by the sort of epistemological problems that beset traditional Platonism. Maddy ... More


Constructibility and Mathematical Existence

Charles S. Chihara

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239758
eISBN:
9780191597190
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198239750.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

A continuation of the study of mathematical existence begun in Ontology and the Vicious‐Circle Principle (published in 1973); in the present work, Quine's indispensability argument is rebutted by the ... More


Realism in Mathematics

Penelope Maddy

Published in print:
1992
Published Online:
November 2003
ISBN:
9780198240358
eISBN:
9780191597978
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/019824035X.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

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 ... More


Naturalism and Scientific Practice

Mary Leng

in Mathematics and Reality

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199280797
eISBN:
9780191723452
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199280797.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter considers a tension between Quine's naturalism and his confirmational holism that has been pointed out by Penelope Maddy, amongst others. Naturalism requires us to look to science to ... More


Naturalism in Mathematics

Penelope Maddy

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198250753
eISBN:
9780191597961
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198250754.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

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 ... More


Naturalism and the A Priori

Penelope Maddy

in New Essays on the A Priori

Published in print:
2000
Published Online:
November 2003
ISBN:
9780199241279
eISBN:
9780191597107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199241279.003.0005
Subject:
Philosophy, Metaphysics/Epistemology

Penelope Maddy investigates the concept of the a priori in the context of contemporary scientific naturalism, arguing that a naturalistic account of the growth of scientific knowledge refutes the ... More


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