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Single Idea 13439
[filed under theme 4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
]
Full Idea
Venn Diagrams are a traditional method to test validity of syllogisms. There are three interlocking circles, one for each predicate, thus dividing the universe into eight possible basic elementary quantifications. Is the conclusion in a compartment?
Gist of Idea
Venn Diagrams map three predicates into eight compartments, then look for the conclusion
Source
David Bostock (Intermediate Logic [1997], 3.8)
Book Ref
Bostock,David: 'Intermediate Logic' [OUP 1997], p.124
The
14 ideas
with the same theme
[general ideas about formal arguments in syllogism form]:
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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20778
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Stoics like syllogisms, for showing what is demonstrative, which corrects opinions
[Stoic school, by Diog. Laertius]
|
8084
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Syllogisms are verbal fencing, not discovery
[Locke]
|
12572
|
Many people can reason well, yet can't make a syllogism
[Locke]
|
18806
|
Frege thought traditional categories had psychological and linguistic impurities
[Frege, by Rumfitt]
|
14453
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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]
|
5401
|
The mortality of Socrates is more certain from induction than it is from deduction
[Russell]
|
18949
|
The universal syllogism is now expressed as the transitivity of subclasses
[Putnam]
|
15879
|
The Square of Opposition has two contradictory pairs, one contrary pair, and one sub-contrary pair
[Harré]
|
13439
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Venn Diagrams map three predicates into eight compartments, then look for the conclusion
[Bostock]
|
19006
|
An 'enthymeme' is an argument with an indispensable unstated assumption
[Yablo]
|
8081
|
'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors'
[Devlin]
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10688
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'Equivocation' is when terms do not mean the same thing in premises and conclusion
[Beall/Restall]
|
13915
|
Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences
[Engelbretsen/Sayward]
|