## Mathematics as Metaphor: Selected Essays of Yuri I. Manin |

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### Contents

Mathematics as Metaphor | 1 |

Internal Social and Cultural Aspects | 3 |

Mathematics as Metaphor | 27 |

Truth Rigour and Common Sense | 33 |

Georg Cantor and his Heritage | 45 |

Gödels Theorem | 55 |

Introduction to the book Computable and Uncomputable | 69 |

Mathematics as Profession and Vocation | 79 |

Reflections on Arithmetical Physics | 149 |

Language Consciousness Book Reviews | 157 |

A Study in Psychology and Culture Theory | 159 |

On Early Development of Speech and Consciousness Phylogeny | 169 |

The Empty City Archetype | 191 |

Triangle of Thoughts book review | 197 |

It Is Still Love book review | 201 |

Good Proofs Are Proofs that Make Us Wiser Interview with Yuri I Manin | 207 |

Mathematics and Physics | 85 |

87 | |

Interrelations between Mathematics and Physics | 139 |

List of Publications | 215 |

Acknowledgments | 231 |

### Common terms and phrases

abstract action algebraic geometry algorithms archaic archetype arithmetic axioms basic calculations Cantor century classical complex numbers concept connected consciousness constructions contemporary Continuum Hypothesis coordinates culture curves deductive resources defined definition described dimension discussion domain elementary English equations evolution example existence expressed field theory finite formal formula function fundamental Georg Cantor Godel's hemisphere human idea imagine infinite infinity integral interaction Kolmogorov complexity linear linguistic logic Manin Math mathematicians meaning measure metaphor mind modern moduli spaces Moscow natural language natural numbers notation notion number theory objects observer p-adic particles phase space physicists Planck units possible precisely problem processes proof properties psychological quantity quantum field theory real numbers role Russian semantics set theory space-time speech behavior statement string theory structure subdominant symbolic symmetry texts theorem topology translation trickster truth understanding values vector words world line