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Single Idea 11060
[filed under theme 4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
]
Full Idea
Aristotle's logic is based on the triadic syllogism, the distinction between subject and one-place predicates, that universal claims have existential commitment, and bivalence, excluded middle and noncontradiction.
Gist of Idea
Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought
Source
report of Aristotle (Prior Analytics [c.328 BCE]) by Robert Hanna - Rationality and Logic 2.2
Book Ref
Hanna,Robert: 'Rationality and Logic' [MIT 2006], p.31
The
15 ideas
from 'Prior Analytics'
11060
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Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought
[Aristotle, by Hanna]
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13819
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Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs
[Bostock on Aristotle]
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22271
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Aristotle was the first to use schematic letters in logic
[Aristotle, by Potter]
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18909
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Aristotelian sentences are made up by one of four 'formative' connectors
[Aristotle, by Engelbretsen]
|
8080
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Aristotelian identified 256 possible syllogisms, saying that 19 are valid
[Aristotle, by Devlin]
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13912
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Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae'
[Aristotle, by Engelbretsen/Sayward]
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18896
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Aristotle places terms at opposite ends, joined by a quantified copula
[Aristotle, by Sommers]
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3300
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Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties
[Aristotle, by Benardete,JA]
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8079
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Aristotelian logic has two quantifiers of the subject ('all' and 'some')
[Aristotle, by Devlin]
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18911
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Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things
[Aristotle, by Engelbretsen]
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11149
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Affirming/denying sentences are universal, particular, or indeterminate
[Aristotle]
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11148
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Deduction is when we suppose one thing, and another necessarily follows
[Aristotle]
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9403
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There are three different deductions for actual terms, necessary terms and possible terms
[Aristotle]
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14641
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A deduction is necessary if the major (but not the minor) premise is also necessary
[Aristotle]
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8071
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Aristotle listed nineteen valid syllogisms (though a few of them were wrong)
[Aristotle, by Devlin]
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