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Inferences Between Buridan's Modal Propositions
2022
Problemos
In recent years modal syllogistic provided by 14th century logician John Buridan has attracted increasing attention of historians of medieval logic. ...
We then ask the question if there is a way to model those results in first order modal logic. Three ways of formalizing Buridan's propositions in quantified modal logic are considered. ...
We have discussed the question of representing Buridan's divided modal statements in more detail elsewhere (see Dagys et al. 2021 ). ...
doi:10.15388/problemos.101.3
fatcat:2yparwvclnbsrphhgozoyavzrq
Book Review: Jean Buridan, Treatise on Consequences
2016
Studia Logica: An International Journal for Symbolic Logic
For example, "A human is possibly running" is a divided modal proposition [p. 96]. ...
The remainder of the first book is dedicated to these non-syllogistic formal consequences without modalities. ...
doi:10.1007/s11225-016-9693-9
fatcat:y36iblppazccxkwdoak7djob4q
Page 5337 of Mathematical Reviews Vol. , Issue 92j
[page]
1992
Mathematical Reviews
King’s standpoint concerning the inter-
pretation of Buridan’s “pure divided modal syllogistic” (see King’s
introduction to his translation of Buridan’s book, Jean Buridan’s
logic [Reidel, Dordrecht, 1985 ...
5337 03B
92j:03016 03B45 01A35 03-03 03B65
Willing, Anthony
Buridan’s divided modal syllogistic.
Notre Dame J. Formal Logic 32 (1991), no. 2, 276-289.
This is a criticism of P. ...
Treatise on Consequences by John Buridan
2016
Journal of the history of philosophy
Modals: Following tradition, Buridan distinguishes between composite and divided modal propositions. ...
This results in a theory in which (divided) modal propositions are subject to all of the same principles of inference as non-modal ones, supplemented by the principles that necessary F's are F's, and F's ...
doi:10.1353/hph.2016.0020
fatcat:vmyfqidxrbgp7kp6cnyxkgnahi
Duns Scotus on Time and Existence: The Questions on Aristotle's "De interpretatione." by John Duns Scotus
2016
Journal of the history of philosophy
Modals: Following tradition, Buridan distinguishes between composite and divided modal propositions. ...
A proposition is divided when the modal word comes in between the parts, as in "Some horse possibly is running"; this yields something like our de re reading, except that the modal word ampliates the subject ...
doi:10.1353/hph.2016.0015
fatcat:4gkz26bh3rchfilspptuljneo4
Medieval Modal Theories and Modal Logic
[chapter]
2008
Handbook of the History of Logic
conversion and modal syllogistic. ...
syllogisms as divided modal syllogisms. 2~ However, he did not make any attempt to reconstruct Aristotle's modal syllogistic as a uniform system; in the light of his modal principles, such a construction ...
doi:10.1016/s1874-5857(08)80030-1
fatcat:yxk3f43ohzdxfixmjboqitztvu
Page 4679 of Mathematical Reviews Vol. , Issue 93i
[page]
1993
Mathematical Reviews
An outline of Aristotle’s syllogistic and general features of medieval modal logics is followed by a summary of the essentials of Buridan’s modal logic. ...
This paper can be divided into two parts. ...
Arthur Prior and medieval logic
2011
Synthese
The Treatise is in Six Parts, each part being divided into chapters. ...
The types of supposition that a term can have can be divided into a fairly complex tree of types. ...
doi:10.1007/s11229-011-9943-3
fatcat:c73aug62izf3bbrkc3j4fjpghm
Medieval Social Epistemology: Scientia for Mere Mortals
2010
Episteme: A journal of individual and social epistemology
(Presumably Buridan also includes here propositions inferred from such principles through valid syllogistic reasoning.) ...
Knowledge is not Buridan's concern in this discussion. ...
doi:10.3366/e1742360009000793
fatcat:glgzfqaalvh6zbmnwc74ovygte
Traditional Logic, Modern Logic and Natural Language
2009
Journal of Philosophical Logic
How then do we say that the dialogue is divided into its immediate and most basic parts? . . . ...
Incorporating a metadomain For example Buridan's version of reductio ad absurdum ([6] 5.10.6) avoids actually making the false assumption. ...
doi:10.1007/s10992-009-9113-y
fatcat:r2e2giany5codkudsfcg5il6ha
Reassessing logical hylomorphism and the demarcation of logical constants
2010
Synthese
moods; more generally, the form of arguments became associated to schemata (syllogistic figures are not schemata in the modern sense, but syllogistic moods are). ...
Clearly, further investigations may throw a lot of light on the question which interests us; perhaps one will succeed with the help of some weighty arguments of an objective character in justifying the dividing ...
doi:10.1007/s11229-010-9825-0
fatcat:zt2zrxcp75fdnpy3cz5wiituzi
A History of Quantification
[chapter]
2012
Handbook of the History of Logic
Lambert of Auxerre reverses the metaphor: "Distribution is the division of one thing into divided [parts]" (139). ...
The theory correctly predicts the anaphoric properties of the sentences in Buridan's very simple discourse. ...
doi:10.1016/b978-0-444-52937-4.50002-2
fatcat:3fbyq7nqk5ckvoyxdvcp7kzk4i
Fighting Achilles
[chapter]
2017
Immanuel Kant – Die Einheit des Bewusstseins
If one prefers to remain in the system of syllogistic logic there are however only two possible readings. ...
The second reading seems more promising, since it complies with Kant's claim that the syllogistic inference is fallacious. ...
doi:10.1515/9783110560794-009
fatcat:fnf6acztyfhdxogwkrc657opji
Page 1456 of Mathematical Reviews Vol. 24, Issue Index
[page]
Mathematical Reviews
Willing
Willing, Anthony Buridan’s divided modal syllogistic. Notre Dame J. Formal Logic 32 (1991), no. 2, 276-289. ...
The Dominican Robert Kilwardby (ca. 1215–1279) as schoolman and ecclesiastical official
2020
Verbum et Ecclesia
Of course, syllogistic forms primarily belong to two or a 'couple' of premises, but Kilwardby argues that not all such 'couples', which make deduction possible, possess a syllogistic form. ...
Kilwardby pulled this trajectory from Albertus to his contemporaries through its fullest consequences: he starts by dividing ethics into two sections, namely, happiness, as the highest human good, and ...
doi:10.4102/ve.v41i1.2065
fatcat:z3yshf4evzb5pledbww5kwq62e
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