David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Mary Tiles & Yuan Jinmei (2004). Could the Aristotelian Square of Opposition Be Translated Into Chinese? Dao: A Journal of Comparative Philosophy 4 (1):137-149.
Dominique Luzeaux, Jean Sallantin & Christopher Dartnell (2008). Logical Extensions of Aristotle's Square. Logica Universalis 2 (1):167-187.
Luis Estrada-González (2008). Weakened Semantics and the Traditional Square of Opposition. Logica Universalis 2 (1):155-165.
Dwayne Hudson Mulder (1996). The Existential Assumptions of Traditional Logic. History and Philosophy of Logic 17 (1-2):141-154.
Valentin A. Bazhanov (2008). Non-Classical Stems From Classical: N. A. Vasiliev's Approach to Logic and His Reassessment of the Square of Opposition. [REVIEW] Logica Universalis 2 (1):71-76.
Author unknown, Square of Opposition. Internet Encyclopedia of Philosophy.
Wolfgang Lenzen (2008). Der “Logische Calcul Herrn Prof. Ploucquets”. Archiv für Geschichte der Philosophie 90 (1):74-114.
Terence Parsons, The Traditional Square of Opposition. Stanford Encyclopedia of Philosophy.
Terence Parsons (2008). Things That Are Right with the Traditional Square of Opposition. Logica Universalis 2 (1):3-11.
Antonino Drago (2008). The Square of Opposition and the Four Fundamental Choices. Logica Universalis 2 (1):127-141.
Added to index2009-01-28
Total downloads19 ( #98,665 of 1,413,268 )
Recent downloads (6 months)1 ( #154,925 of 1,413,268 )
How can I increase my downloads?