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Single Idea 8475
[filed under theme 5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
]
Full Idea
The substitution view of quantification explains 'there-is-an-x-such-that x is a man' as true when it has a true substitution instance, as in the case of 'Socrates is a man', so the quantifier can be read as 'it is sometimes true that'.
Gist of Idea
The substitution view of quantification says a sentence is true when there is a substitution instance
Source
Alex Orenstein (W.V. Quine [2002], Ch.5)
Book Ref
Orenstein,Alex: 'W.V. Quine' [Princeton 2002], p.103
A Reaction
The word 'true' crops up twice here. The alternative (existential-referential) view cites objects, so the substitution view is a more linguistic approach.
The
14 ideas
from 'W.V. Quine'
8452
|
Traditionally, universal sentences had existential import, but were later treated as conditional claims
[Orenstein]
|
8454
|
The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc.
[Orenstein]
|
8457
|
The Principle of Conservatism says we should violate the minimum number of background beliefs
[Orenstein]
|
8458
|
Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism
[Orenstein]
|
8471
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Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way
[Orenstein]
|
8465
|
Mereology has been exploited by some nominalists to achieve the effects of set theory
[Orenstein]
|
8474
|
Unlike elementary logic, set theory is not complete
[Orenstein]
|
8476
|
Axiomatization simply picks from among the true sentences a few to play a special role
[Orenstein]
|
8472
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Sentential logic is consistent (no contradictions) and complete (entirely provable)
[Orenstein]
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8473
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The logicists held that is-a-member-of is a logical constant, making set theory part of logic
[Orenstein]
|
8475
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The substitution view of quantification says a sentence is true when there is a substitution instance
[Orenstein]
|
8477
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People presume meanings exist because they confuse meaning and reference
[Orenstein]
|
8484
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If two people believe the same proposition, this implies the existence of propositions
[Orenstein]
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8480
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S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p'
[Orenstein]
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