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

Show full item record

Page view(s)

2
Last Week
0
Last month
0
checked on Mar 4, 2024

Google ScholarTM

Check

Altmetric