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## 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

## Monism and Beyond

*Penelope Maddy*

### in Realism in Mathematics

- Published in print:
- 1992
- Published Online:
- November 2003
- ISBN:
- 9780198240358
- eISBN:
- 9780191597978
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019824035X.003.0005
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Outlines a physicalistic version of set theoretic realism (a sort of monism), and compares and contrasts it with Field's nominalism, with structuralism, and with modalism. I conclude that, despite ... More

## Realism

*Penelope Maddy*

### in Realism in Mathematics

- Published in print:
- 1992
- Published Online:
- November 2003
- ISBN:
- 9780198240358
- eISBN:
- 9780191597978
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019824035X.003.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

The early sections describe the pre‐theoretic realism of the mathematician, survey the basic forms of realism in philosophy, and attempt to disentangle the issues of realism from debates over the ... More

## Numbers

*Penelope Maddy*

### in Realism in Mathematics

- Published in print:
- 1992
- Published Online:
- November 2003
- ISBN:
- 9780198240358
- eISBN:
- 9780191597978
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019824035X.003.0003
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Begins with a review of Benacerraf's metaphysical challenge to mathematical realism based on sets: how, for example, can number theory be the study of particular sets when other sets with the same ... More

## The Argument from Collections

*Christopher Menzel*

### in Two Dozen (or so) Arguments for God: The Plantinga Project

- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780190842215
- eISBN:
- 9780190874445
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190842215.003.0003
- Subject:
- Religion, Theology

Very broadly, an argument from collections is an argument that purports to show that our beliefs about sets imply—in some sense—the existence of God. Plantinga (2007) first sketched such an argument ... More

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