Description

• Title:
  Topology of Modal Propositions Depicted by Peirce’s Gamma Graphs: Line, Square, Cube, and Four-Dimensional Polyhedron
• Creator:
  Flórez, Jorge Alejandro
• Description:
  This paper presents the topological arrangements in four geometrical figures of modal propositions and their derivative relations by means of Peirce's gamma graphs and their rules of transformation. The idea of arraying the gamma graphs in a geometric and symmetrical order comes from Peirce himself who in a manuscript drew two cubes in which he presented the derivative relations of some (but no all) gamma graphs. Therefore, Peirce's insights of a topological order of gamma graphs are extended here backwards from the cube to the line and the square; and then forwards from the cube to the four-dimensional polyhedron.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2021 Logic and Logical Philosophy
• Date:
  2021.11.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 31 No. 3 (2022): September; 457-470;
  Logic and Logical Philosophy; Tom 31 Nr 3 (2022): Wrzesień; 457-470;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/35036/30504
• Subject:
  Charles S. Peirce;
  existential graphs;
  gamma graphs;
  topology;
  modal logic;
  General topology;
  Mathematical logic and foundations;
  Modal Logic
• Identifier: https://apcz.umk.pl/LLP/article/view/35036
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text