## Constructive Philosophy |

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### Contents

Methodical Thinking | 3 |

Enlightenment and Reason | 30 |

Political Anthropology | 42 |

CONSTRUCTIVE LOGIC | 57 |

Protologic A Contribution to the Foundation of Logic | 59 |

Identity and Abstraction | 71 |

Dialogical Foundation of Logical Calculi | 78 |

PHILOSOPHY OF LANGUAGE | 103 |

Justifying the Deductive Method | 171 |

Pascals Critique of the Axiomatic Method | 175 |

PHILOSOPHY OF MATHEMATICS ANALYSIS | 193 |

The ActualInfinite in Mathematics | 195 |

Constructive Foundations of Mathematics | 203 |

Classical Analysis as a Constructive Theory | 208 |

Moral Arguments in Foundational Discussions of Mathematics | 220 |

PHILOSOPHY OF PHYSICS | 229 |

Logical Structures in Language | 105 |

Logic and Grammar | 113 |

Logic and Hermeneutics | 121 |

Constructivism and Hermeneutics | 130 |

Rational Grammar | 135 |

PHILOSOPHY OF MATHEMATICS ARITHMETIC | 155 |

How Is Philosophy of Mathematics Possible? | 157 |

How Is Objectivity in Physics Possible? | 231 |

Constructive and Axiomatic Methods | 238 |

Concerning a Definition of Probability | 249 |

The Foundational Problem of Geometry | 257 |

Geometry as the MeasureTheoretic A Priori of Physics | 274 |

### Common terms and phrases

according analysis angle argumentation Aristotle arithmetic assertion axiomatic method axiomatic theory axioms basis begin calculus called cardinal numbers classical logic concepts concerning construction deducible defined definition demonstrated dialogue rule distinction elementary propositions equivalence relation Euclidean geometry example exemplarily fact figures finite formal formulas foundation functions fundamental geometry given hermeneutics Hilbert homogeneity if/then infinite intuitionistic intuitionistic logic justified Kant Kolmogoroff linguistic logical calculi logical operators logically true mathematicians means measurement metalanguage modal logic modern mathematics natural language non liquet nonetheless norms opponent orthogonal ortholect parallel axiom Paul Lorenzen person philosophy of mathematics physics plane political possible practical precisely predicates presupposes principle probability fields problem produce proof proper names proponent propositional forms protophysics quantifier question random rational grammar rational numbers rational syntax real numbers restrict scientific scientists semantics sentences sequence set theory speak term theorem things thinking tion understand usage valid variable words