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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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