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Single Idea 8071
[filed under theme 4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
]
Full Idea
Aristotle listed a total of nineteen syllogisms involved in logical reasoning, though some of the ones on his list were subsequently shown to be invalid.
Gist of Idea
Aristotle listed nineteen valid syllogisms (though a few of them were wrong)
Source
report of Aristotle (Prior Analytics [c.328 BCE], Ch.1) by Keith Devlin - Goodbye Descartes
Book Ref
Devlin,Keith: 'Goodbye Descartes: the end of logic' [Wiley 1997], p.3
A Reaction
It is quite upsetting to think that the founding genius got some of it wrong, but that just shows how subtle and complex the analysis of rational thought can be.
The
15 ideas
from 'Prior Analytics'
11060
|
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]
|
22271
|
Aristotle was the first to use schematic letters in logic
[Aristotle, by Potter]
|
18909
|
Aristotelian sentences are made up by one of four 'formative' connectors
[Aristotle, by Engelbretsen]
|
8080
|
Aristotelian identified 256 possible syllogisms, saying that 19 are valid
[Aristotle, by Devlin]
|
13912
|
Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae'
[Aristotle, by Engelbretsen/Sayward]
|
18896
|
Aristotle places terms at opposite ends, joined by a quantified copula
[Aristotle, by Sommers]
|
3300
|
Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties
[Aristotle, by Benardete,JA]
|
8079
|
Aristotelian logic has two quantifiers of the subject ('all' and 'some')
[Aristotle, by Devlin]
|
18911
|
Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things
[Aristotle, by Engelbretsen]
|
11149
|
Affirming/denying sentences are universal, particular, or indeterminate
[Aristotle]
|
11148
|
Deduction is when we suppose one thing, and another necessarily follows
[Aristotle]
|
9403
|
There are three different deductions for actual terms, necessary terms and possible terms
[Aristotle]
|
14641
|
A deduction is necessary if the major (but not the minor) premise is also necessary
[Aristotle]
|
8071
|
Aristotle listed nineteen valid syllogisms (though a few of them were wrong)
[Aristotle, by Devlin]
|