### Abstract

Thanks to developments in the last few decades in mathematical logic and computer science, it has now become possible to formalize non-trivial mathematical proofs in essentially complete detail. we discuss the philosophical problems and prospects for such formalization enterprises. We show how some perennial philosophical topics and problems in epistemology, philosophy of science, and philosophy of mathematics can be seen in the practice of formalizing mathematical proofs.

Original language | English |
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Title of host publication | New Challenges to Philosophy of Science |

Editors | H. Andersen, D. Dieks, W. Gonzalez, T. Uebel, G. Wheeler |

Place of Publication | Dordrecht |

Publisher | Springer Netherlands |

Pages | 9-22 |

Number of pages | 14 |

ISBN (Electronic) | 978-94-007-5845-2 |

ISBN (Print) | 978-94-007-5844-5 |

DOIs | |

Publication status | Published - 1 Jan 2013 |

### Keywords

- Epistemic justification
- Formal proof
- Inferentialism
- Mathematics
- Philosophy of mathematics

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## Cite this

Alama, J., & Kahle, R. (2013). Computing with mathematical arguments. In H. Andersen, D. Dieks, W. Gonzalez, T. Uebel, & G. Wheeler (Eds.),

*New Challenges to Philosophy of Science*(pp. 9-22). Dordrecht: Springer Netherlands. https://doi.org/10.1007/978-94-007-5845-2_2