Logica Universalis 2 (1):43-58 (2008)
. In the 18th century, Gottfried Ploucquet developed a new syllogistic logic where the categorical forms are interpreted as set-theoretical identities, or diversities, between the full extension, or a non-empty part of the extension, of the subject and the predicate. With the help of two operators ‘O’ (for “Omne”) and ‘Q’ (for “Quoddam”), the UA and PA are represented as ‘O(S) – Q(P)’ and ‘Q(S) – Q(P)’, respectively, while UN and PN take the form ‘O(S) > O(P)’ and ‘Q(S) > O(P)’, where ‘>’ denotes set-theoretical disjointness. The use of the symmetric operators ‘–’ and ‘>’ gave rise to a new conception of conversion which in turn lead Ploucquet to consider also the unorthodox propositions O(S) – O(P), Q(S) – O(P), O(S) > Q(P), and Q(S) > Q(P). Although Ploucquet’s critique of the traditional theory of opposition turns out to be mistaken, his theory of the “Quantification of the Predicate” is basically sound and involves an interesting “Double Square of Opposition”.
|Keywords||Syllogistic logic quantification of the predicate Ploucquet|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Could the Aristotelian Square of Opposition Be Translated Into Chinese?Mary Tiles & Yuan Jinmei - 2004 - Dao: A Journal of Comparative Philosophy 4 (1):137-149.
Logical Extensions of Aristotle's Square.Dominique Luzeaux, Jean Sallantin & Christopher Dartnell - 2008 - Logica Universalis 2 (1):167-187.
Weakened Semantics and the Traditional Square of Opposition.Luis Estrada-González - 2008 - Logica Universalis 2 (1):155-165.
The Existential Assumptions of Traditional Logic.Dwayne Hudson Mulder - 1996 - History and Philosophy of Logic 17 (1-2):141-154.
Non-Classical Stems From Classical: N. A. Vasiliev's Approach to Logic and His Reassessment of the Square of Opposition. [REVIEW]Valentin A. Bazhanov - 2008 - Logica Universalis 2 (1):71-76.
Square of Opposition.Author unknown - 2004 - Internet Encyclopedia of Philosophy.
Der “Logische Calcul Herrn Prof. Ploucquets”.Wolfgang Lenzen - 2008 - Archiv für Geschichte der Philosophie 90 (1):74-114.
Things That Are Right with the Traditional Square of Opposition.Terence Parsons - 2008 - Logica Universalis 2 (1):3-11.
The Square of Opposition and the Four Fundamental Choices.Antonino Drago - 2008 - Logica Universalis 2 (1):127-141.
Added to index2009-01-28
Total downloads27 ( #191,521 of 2,178,142 )
Recent downloads (6 months)1 ( #316,663 of 2,178,142 )
How can I increase my downloads?