### Abstract

Original language | English |
---|---|

Pages (from-to) | 59-79 |

Number of pages | 21 |

Journal | The Philosophical Quarterly |

Volume | 58 |

Issue number | 230 |

Early online date | 10 Sep 2007 |

DOIs | |

Publication status | Published - Jan 2008 |

### Fingerprint

### Cite this

*The Philosophical Quarterly*,

*58*(230), 59-79. https://doi.org/10.1111/j.1467-9213.2007.529.x

**Structuralism and the Notion of Dependence.** / Linnebo, Oystein.

Research output: Contribution to journal › Article

*The Philosophical Quarterly*, vol. 58, no. 230, pp. 59-79. https://doi.org/10.1111/j.1467-9213.2007.529.x

}

TY - JOUR

T1 - Structuralism and the Notion of Dependence

AU - Linnebo, Oystein

PY - 2008/1

Y1 - 2008/1

N2 - The notion of dependence figures prominently in recent discussions of non-eliminative mathematical structuralism. Structuralists often argue that mathematical objects from one and the same structure depend on one another and on the structure to which they belong. Their opponents often argue that there cannot be any such dependence. I first show that the structuralists' claims about dependence are more important to their view than is generally recognized. Then I defend a compromise view concerning the dependence relations between mathematical objects, according to which the structuralists are right about some mathematical objects but wrong about others. I end with some remarks about the crucial notion of dependence.

AB - The notion of dependence figures prominently in recent discussions of non-eliminative mathematical structuralism. Structuralists often argue that mathematical objects from one and the same structure depend on one another and on the structure to which they belong. Their opponents often argue that there cannot be any such dependence. I first show that the structuralists' claims about dependence are more important to their view than is generally recognized. Then I defend a compromise view concerning the dependence relations between mathematical objects, according to which the structuralists are right about some mathematical objects but wrong about others. I end with some remarks about the crucial notion of dependence.

U2 - 10.1111/j.1467-9213.2007.529.x

DO - 10.1111/j.1467-9213.2007.529.x

M3 - Article

VL - 58

SP - 59

EP - 79

JO - The Philosophical Quarterly

JF - The Philosophical Quarterly

SN - 0031-8094

IS - 230

ER -