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Single Idea 13819
[filed under theme 4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
]
Full Idea
Aristotle's system accepted as correct some laws which nowadays we reject, for example |= (Some Fs are G) or (some Fs are not G). He failed to take into account the possibility of there being no Fs at all.
Gist of Idea
Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs
Source
comment on Aristotle (Prior Analytics [c.328 BCE]) by David Bostock - Intermediate Logic 8.4
Book Ref
Bostock,David: 'Intermediate Logic' [OUP 1997], p.353
Related Idea
Idea 14453
The Darapti syllogism is fallacious: All M is S, all M is P, so some S is P' - but if there is no M? [Russell]
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]
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8079
|
Aristotelian logic has two quantifiers of the subject ('all' and 'some')
[Aristotle, by Devlin]
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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]
|