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Single Idea 13912

[filed under theme 4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic ]

Full Idea

Aristotle replaced the Platonic noun-verb account of logical syntax with a 'copular' account. A sentence is a pair of terms bound together logically (not necessarily grammatically) by one of four 'logical copulae' (every, none, some, not some).

Gist of Idea

Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae'

Source

report of Aristotle (Prior Analytics [c.328 BCE]) by Engelbretsen,G/Sayward,C - Philosophical Logic: Intro to Advanced Topics 8

Book Ref

Engelbretsen,G/Sayward,C: 'Philosophical Logic: Intro to Advanced Topics' [Continuum 2011], p.140


A Reaction

So the four copulas are are-all, are-never, are-sometimes, and are-sometime-not. Consider 'men' and 'mortal'. Alternatively, Idea 18909.

Related Idea

Idea 18909 Aristotelian sentences are made up by one of four 'formative' connectors [Aristotle, by Engelbretsen]


The 15 ideas with the same theme [Aristotle's original account of formal syllogistic logic]:

Socrates developed definitions as the basis of syllogisms, and also inductive arguments [Socrates, by Aristotle]
Aristotle's later logic had to treat 'Socrates' as 'everything that is Socrates' [Potter on Aristotle]
Square of Opposition: not both true, or not both false; one-way implication; opposite truth-values [Aristotle]
Aristotle was the first to use schematic letters in logic [Aristotle, by Potter]
Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Aristotle, by Hanna]
Aristotelian sentences are made up by one of four 'formative' connectors [Aristotle, by Engelbretsen]
Aristotelian identified 256 possible syllogisms, saying that 19 are valid [Aristotle, by Devlin]
Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Aristotle, by Engelbretsen/Sayward]
Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Aristotle, by Devlin]
Modern notation frees us from Aristotle's restriction of only using two class-names in premises [Putnam]
Aristotelian logic is complete [Shapiro]
Aristotelian logic cannot express 'Everyone loves someone' [White,RM]
The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward]
Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward]
Traditional term logic struggled to express relations [Engelbretsen]