## LEIBNIZ'S LAWS OF CONSISTENCY AND THE PHILOSOPHICAL FOUNDATIONS OF CONNEXIVE LOGIC

Autor(en): | Lenzen, Wolfgang |

Stichwörter: | connexive logic; Leibniz's logic; Logic; Philosophy; Science & Technology - Other Topics; term logic vs. propositional logic |

Erscheinungsdatum: | 2019 |

Herausgeber: | NICOLAUS COPERNICUS UNIV TORUN |

Journal: | LOGIC AND LOGICAL PHILOSOPHY |

Volumen: | 28 |

Ausgabe: | 3, SI |

Startseite: | 537 |

Seitenende: | 551 |

Zusammenfassung: | As an extension of the traditional theory of the syllogism, Leib, s algebra of concept.s is built up from the term-operators of conjunction, negation, and the relation of coritlininent. Leibniz's laws of consistency state that o concept contains its own negation, and that if concept A contains concept B, then A cannot also contain Not -B. Leibniz believed that these principles would be urtiversAlly valid, but he eventually discovered that they have to be restricted to self-consistent concepts. This result is of utmost importance for the philosophical foundations of connexive logic, i.e. for the question how far either ``Aristotle's Thesis'' left perpendicular (alpha -> left perpendicular alpha), or ``Boethius's Thesis'', (alpha -> beta -> left perpendicular(alpha -> left perpendicular beta), should be acceptcA as reasonahle principles of a logic of conditionals. |

ISSN: | 14253305 |

DOI: | 10.12775/LLP.2019.004 |

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