## Instantial Logic: An Investigation Into Reasoning with Instances |

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38 pages matching **natural deduction** in this book

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### Contents

A Brief History of Instantial Logic | 6 |

Intuitionistic Instantial Logic | 55 |

Formula Dependencies | 91 |

Copyright | |

6 other sections not shown

### Common terms and phrases

3x3yRxy 3xip 3xtp 3y3xRxy 3yRay antecedent application of 3E arbitrary object model c-discharge c-thread chapter choice functions choice process choice tuples classical logic closed epsilon terms conclusion condition consequence consider constant domain defined DEFINITION denote dependence relation dependence structure derivation discharge e-calculus e-derivation e-free e-rule E-scope e-terms element elimination rule epsilon calculus epsilon logic epsilon rule equivalence existential formula existential quantifier extended first-order formula occurrence Hilbert instantial logic intensional interpretation introduced intuitionistic logic ip[ex IPL+P3 Kripke frame Kripke model language lemma major premise natural deduction node notion occurrence tp P(ex p[ex Plato's principle plural predicate logic pronoun proof system proof theory proof tree proper term Proposition quantifier rules R(ex representation restriction rule 31 Rx(ey satisfying schema Section semantics sentence Skolem functions standard substitution boxes term ex theorem tion tp/x translation universal quantifier valid