Corpus ID: 5544698

William of Sherwood, Singular Propositions and the Hexagon of Opposition

  title={William of Sherwood, Singular Propositions and the Hexagon of Opposition},
  author={Y. Khomskii},
In Aristotelian logic, the predominant view has always been that there are only two kinds of quantities: universal and particular. For this reason, philosophers have struggled with singular propositions (e.g., \Socrates is running"). One modern approach to this problem, as rst proposed in 1955 by Tadeusz Cze_ zowski, is to extend the traditional Square of Opposition to a Hexagon of Opposition. We note that the medieval author William of Sherwood developed a similar theory of singular… Expand
Singular Propositions, Negation and the Square of Opposition
This paper contains two traditions of diagrammatic studies namely one, the Euler–Venn–Peirce diagram and the other, following tradition of Aristotle, the square of oppositions, to study representations of singular propositions, their negations and the inter relationship between the two. Expand
Logical Geometries and Information in the Square of Oppositions
This paper argues that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity, and introduces two new logical geometries (and their corresponding diagrams), and develops a formal, well-motivated account of their informativity. Expand
Between Square and Hexagon in Oresme's Livre du Ciel et du Monde
In logic, Aristotelian diagrams are almost always assumed to be closed under negation, and are thus highly symmetric in nature. In linguistics, by contrast, these diagrams are used to studyExpand
Why the Logical Hexagon?
  • A. Moretti
  • Computer Science, Philosophy
  • Logica Universalis
  • 2012
It is shown which strong reasons, inside oppositional geometry, make understand that the logical hexagon is in fact a very important and profound mathematical structure, destined to many future fruitful developments and probably bearer of a major epistemological paradigm change. Expand
Boolean Differences between Two Hexagonal Extensions of the Logical Square of Oppositions
The Boolean closure of the SC hexagon is defined by characterizing the remaining 8 (non-trivial) formulae, and it is demonstrated how the resulting 14 formULae generate 6 SB hexagons. Expand
Interactively Illustrating the Context-Sensitivity of Aristotelian Diagrams
This paper proposes a new account of measuring this type of context-sensitivity of Aristotelian diagrams, and illustrates it by means of a small-scale example, and shows that applying the proposed measure of contextsensitivity leads to a number of precise yet highly intuitive results. Expand
Shape Heuristics in Aristotelian Diagrams
It is argued that the concrete shape of Aristotelian diagrams can be of great heuristic value in logical geometry and help us to better understand these properties and relations and reason about them. Expand
Bibliography of literature relating to William of Sherwood compiled
This is a bibliography of literature pertaining to the medieval logician William of Sherwood. The entries are ordered by publication date, from the least recent to the most, with unpublished andExpand
Metalogical Decorations of Logical Diagrams
A unifying perspective is presented which sheds new light on the connections between new and existing metalogical diagrams, as well as between object- andMetalogical diagrams. Expand
Logical and Geometrical Complementarities between Aristotelian Diagrams
The crucial notions are therefore those of subdiagram and of nesting or embedding smaller diagrams into bigger ones, which are related to the geometrical complementarities between the 3D embeddings of hexagons and octagons inside the RDH. Expand


William of Sherwood, ‘Introductiones in logicam’ Critical Text
William of Sherwood (or Shyreswood) was an English logician of the thirteenth century. Little is known of his life. He possibly taught logic at Paris from about 1235 to about 1250. By 1252 he wasExpand
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
  • Jennifer,
  • 2008
Medieval Theories of Singular Terms The Stanford Encyclopedia of Philosophy
  • Medieval Theories of Singular Terms The Stanford Encyclopedia of Philosophy
  • 2008
On denoting what?
  • trans.
  • 1995
Summulae] Petrus Hispanus, Summulae Logicales, in: [de Rijk
  • Summulae] Petrus Hispanus, Summulae Logicales, in: [de Rijk
  • 1972