## Converging Realities: Toward a Common Philosophy of Physics and MathematicsThe mysterious beauty, harmony, and consistency of mathematics once caused philosopher Hilary Putnam to term its existence a "miracle." Now, advances in the understanding of physics suggest that the foundations of mathematics are encompassed by the laws of nature, an idea that sheds new light on both mathematics and physics. The philosophical relationship between mathematics and the natural sciences is the subject of This approach to the nature of mathematics is not really new, but it became overshadowed by formalism near the end of nineteenth century. The debate turned eventually into an exclusive dialogue between mathematicians and philosophers, as if physics and nature did not exist. This unsatisfactory situation was enforced by the uncertain standing of physical reality in quantum mechanics. The recent advances in the interpretation of quantum mechanics (as described in |

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#### LibraryThing Review

User Review - fpagan - LibraryThing"Physism": the contention that the foundations of math belong to the laws of nature. Much of the book talks about quantum theory, but the not-so-clear writing can't be entirely ascribed to that. I ... Read full review

### Contents

Beginnings | 3 |

Brain and Reality | 12 |

Mathematics and Classical Reality | 22 |

REALITY AND THE QUANTUM WORLD | 49 |

First Encounter with the Quantum World | 51 |

Quantity and Reality | 65 |

More about Physical Quantities | 76 |

On the Extent of the Lingua Mathematica | 86 |

THE CHARACTER OF PHYSICAL LAWS | 135 |

The Character of Fundamental Laws | 141 |

The Character of Classical Reality | 164 |

PHYSISM | 175 |

The Philosophy of Mathematics | 179 |

Physism The Thesis | 199 |

Physism and the Philosophy of Mathematics | 216 |

Physism A Discussion | 231 |

Virtual Processes | 95 |

Back to Classical Reality | 105 |

Decoherence | 114 |

Did You Say Paradox? | 126 |

Ontology | 243 |

253 | |

261 | |