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Validity Conditions and Analysed Propositions

Alexander Broadie

in Introduction to Medieval Logic

Published in print:
1993
Published Online:
October 2011
ISBN:
9780198240266
eISBN:
9780191680137
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198240266.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics, History of Philosophy

This chapter considers the inferential power of categorical propositions where the structure of those propositions is taken into account. At the heart of the medieval theory of valid inference for ... More


Consequences in General and Consequences between Assertoric Propositions

John Buridan

in Treatise on Consequences

Published in print:
2014
Published Online:
May 2015
ISBN:
9780823257188
eISBN:
9780823261499
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823257188.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Buridan first describes the causes of the truth and falsity of propositions, before defining consequence and distinguishing formal from material consequence. He describes the ampliation of the ... More


Aristotle’s Proofs of Conversions and Syllogisms

Terence Parsons

in Articulating Medieval Logic

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199688845
eISBN:
9780191768002
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199688845.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics, Ancient Philosophy

In Prior Analytics Aristotle proves the conversion principles, using three logical techniques: reductio (indirect derivation), exposition (a kind of existential instantiation: given ‘Some S is a P’, ... More


 Quantifying Predicates, Singular Term Predicates, Negative Terms

Terence Parsons

in Articulating Medieval Logic

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199688845
eISBN:
9780191768002
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199688845.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics, Ancient Philosophy

Medieval logicians expanded Aristotle’s notation; some rules naturally come along with the expansions. Predicates are quantified, as in ‘No donkey is every animal’, and negations are sprinkled ... More


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