Description

• Title:
  Leibniz's laws of consistency and the philosophical foundations of connexive logic
• Creator:
  Lenzen, Wolfgang
• Description:
  As an extension of the traditional theory of the syllogism, Leibniz’s algebra of concepts is built up from the term-logical operators of conjunction, negation, and the relation of containment.Leibniz’s laws of consistency state that no 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 universally 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”, ¬(α → ¬α), or “Boethius’s Thesis”, (α → β) → ¬(α → ¬β), should be accepted as reasonable principles of a logic of conditionals. 
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Logic and Logical Philosophy
• Date:
  2019.01.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Historical and philosophical
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 28 No. 3 (2019): September; 537-551;
  Logic and Logical Philosophy; Tom 28 Nr 3 (2019): wrzesień; 537-551;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2019.004/16681
• Subject:
  connexive logic;
  Leibniz’s logic;
  term logic vs. propositional logic;
  03A05
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2019.004
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other