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Single Idea 18909

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

Full Idea

For Aristotle there are four formatives for sentences: 'belongs to some', 'belongs to every', 'belongs to no', and 'does not belong to every'. These are 'copulae'. Aristotle would have written 'wise belongs to some man'.

Gist of Idea

Aristotelian sentences are made up by one of four 'formative' connectors

Source

report of Aristotle (Prior Analytics [c.328 BCE]) by George Engelbretsen - Trees, Terms and Truth 3

Book Ref

'The Old New Logic', ed/tr. Oderberg,David S. [MIT 2005], p.34


A Reaction

A rather set-theoretic reading. This invites a Quinean scepticism about whether wisdom is some entity which can 'belong' to a person. It makes trope theory sound attractive, offering a unique wisdom that is integrated into that particular person.

Related Ideas

Idea 18905 Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen]

Idea 13912 Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Aristotle, by Engelbretsen/Sayward]


The 15 ideas from 'Prior Analytics'

Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs [Bostock on 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 places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]
Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]
Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin]
Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Aristotle, by Engelbretsen]
Affirming/denying sentences are universal, particular, or indeterminate [Aristotle]
Deduction is when we suppose one thing, and another necessarily follows [Aristotle]
There are three different deductions for actual terms, necessary terms and possible terms [Aristotle]
A deduction is necessary if the major (but not the minor) premise is also necessary [Aristotle]
Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Aristotle, by Devlin]