# MCMP – Philosophy of Mathematics

## By MCMP Team

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#### Description

Mathematical Philosophy - the application of logical and mathematical methods in philosophy - is about to experience a tremendous boom in various areas of philosophy. At the new Munich Center for Mathematical Philosophy, which is funded mostly by the German Alexander von Humboldt Foundation, philosophical research will be carried out mathematically, that is, by means of methods that are very close to those used by the scientists. The purpose of doing philosophy in this way is not to reduce philosophy to mathematics or to natural science in any sense; rather mathematics is applied in order to derive philosophical conclusions from philosophical assumptions, just as in physics mathematical methods are used to derive physical predictions from physical laws. Nor is the idea of mathematical philosophy to dismiss any of the ancient questions of philosophy as irrelevant or senseless: although modern mathematical philosophy owes a lot to the heritage of the Vienna and Berlin Circles of Logical Empiricism, unlike the Logical Empiricists most mathematical philosophers today are driven by the same traditional questions about truth, knowledge, rationality, the nature of objects, morality, and the like, which were driving the classical philosophers, and no area of traditional philosophy is taken to be intrinsically misguided or confused anymore. It is just that some of the traditional questions of philosophy can be made much clearer and much more precise in logical-mathematical terms, for some of these questions answers can be given by means of mathematical proofs or models, and on this basis new and more concrete philosophical questions emerge. This may then lead to philosophical progress, and ultimately that is the goal of the Center.

Name | Description | Released | Price | ||
---|---|---|---|---|---|

1 | VideoRecent metamathematical wonders and the question of arithmetical realism | Colloquium Mathematical Philosophy | 4/18/2019 | Free | View in iTunes |

2 | VideoThe Univalence Axiom | Colloquium Mathematical Philosophy | 4/18/2019 | Free | View in iTunes |

3 | VideoIn Good Company? On Hume's Principle and the assignment of numbers to infinite concepts. | Colloquium Mathematical Philosophy | 4/18/2019 | Free | View in iTunes |

4 | VideoLearning Experiences, Expected Inaccuracy, and the Value of Knowledge | Colloquium Mathematical Philosophy | 4/18/2019 | Free | View in iTunes |

5 | VideoAnti-Mathematicism and Formal Philosophy | Colloquium Mathematical Philosophy | 4/18/2019 | Free | View in iTunes |

6 | VideoGeometrical Roots of Model Theory: Duality and Relative Consistency | Colloquium Mathematical Philosophy | 7/13/2015 | Free | View in iTunes |

7 | VideoA Hypothetical Conception of Mathematics in Practice | Colloquium Mathematical Philosophy | 6/30/2015 | Free | View in iTunes |

8 | VideoOn the Contingency of Predicativism | Colloquium Mathematical Philosophy | 5/10/2015 | Free | View in iTunes |

9 | VideoA Computational Perspective on Metamathematics | Colloquium Mathematical Philosophy | 2/9/2015 | Free | View in iTunes |

10 | VideoQuantified Probability Logics: How Boolean Algebras Met Real-Closed Fields | Colloquium Mathematical Philosophy | 2/9/2015 | Free | View in iTunes |

11 | VideoSymmetry and Mathematicians' Aesthetic Preferences: a Case Study | Colloquium Mathematical Philosophy | 1/15/2015 | Free | View in iTunes |

12 | VideoAn Aristotelian continuum | Colloquium Mathematical Philosophy | 12/31/2014 | Free | View in iTunes |

13 | VideoNeuropsychology of numbers | Workshop on Mathematics: Objectivity by Representation | 12/19/2014 | Free | View in iTunes |

14 | VideoIF epistemic logic and mathematical knowledge | Workshop on Mathematics: Objectivity by Representation | 12/18/2014 | Free | View in iTunes |

15 | VideoNatural numbers in philosophy of mathematics and in cognitive science | Colloquium Mathematical Philosophy | 12/18/2014 | Free | View in iTunes |

16 | VideoOn Mathematical Structuralism. A Theory of Unlabeled Graphs as Ante Rem Structures | Workshop on Mathematics: Objectivity by Representation | 12/17/2014 | Free | View in iTunes |

17 | VideoWhat are the challenges of Benacerrafs Dilemma? A Reinterpretation | Workshop on Mathematics: Objectivity by Representation | 12/17/2014 | Free | View in iTunes |

18 | VideoDiscernibility from a countable perspective | Workshop on Mathematics: Objectivity by Representation | 12/17/2014 | Free | View in iTunes |

19 | VideoThree ways in which logic might be normative | Workshop on Mathematics: Objectivity by Representation | 12/17/2014 | Free | View in iTunes |

20 | VideoA useful method for obtaining alternative formulations of the analytical hierarchy | Colloquium Mathematical Philosophy | 12/11/2014 | Free | View in iTunes |

21 | VideoHaecceities and Mathematical Structuralism | Colloquium Mathematical Philosophy | 6/18/2014 | Free | View in iTunes |

22 | VideoRemarks on the foundations of mathematics | Colloquium Mathematical Philosophy | 2/20/2014 | Free | View in iTunes |

22 Items |