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Inferences Between Buridan's Modal Propositions

Jonas Dagys, Haroldas Giedra, Živilė Pabijutaitė
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

Sara L. Uckelman
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

Terence Parsons
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

Allan Bäck
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]

Simo Knuuttila
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

Sara L. Uckelman
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

Robert Pasnau
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

Wilfrid Hodges
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

Catarina Dutilh Novaes
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]

Daniel Bonevac
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]

Camilla Serck-Hanssen, Giuseppe Motta, Udo Thiel
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

Johann Beukes
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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