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Single Idea 21593
[filed under theme 5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
]
Full Idea
Unlike Aristotle, Stoics did not reject Bivalence for future contingencies; it is true or false that there will be a sea-fight tomorrow.
Gist of Idea
In talking of future sea-fights, Aristotle rejects bivalence
Source
report of Aristotle (On Interpretation [c.330 BCE], 19a31) by Timothy Williamson - Vagueness 1.2
Book Ref
Williamson,Timothy: 'Vagueness' [Routledge 1996], p.12
A Reaction
I'd never quite registered this simple account of the sea-fight. As Williamson emphasises, one should not lightly reject the principle of bivalence. Has Aristotle entered a slippery slope? Stoics disagreed with Aristotle.
The
18 ideas
with the same theme
[propositions can only be true or false]:
21593
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In talking of future sea-fights, Aristotle rejects bivalence
[Aristotle, by Williamson]
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22154
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For Aristotle bivalence is a feature of reality
[Aristotle, by Boulter]
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21677
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How can the not-true fail to be false, or the not-false fail to be true?
[Cicero]
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19102
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Bivalence is a regulative assumption of enquiry - not a law of logic
[Peirce, by Misak]
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19043
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Bivalence applies not just to sentences, but that general terms are true or false of each object
[Quine]
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8173
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Language can violate bivalence because of non-referring terms or ill-defined predicates
[Dummett]
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8195
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Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense
[Dummett]
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6889
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Vagueness seems to be inconsistent with the view that every proposition is true or false
[Mautner]
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21606
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'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false
[Williamson]
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18780
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Standard disjunction and negation force us to accept the principle of bivalence
[Mares]
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18786
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Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation
[Mares]
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4700
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A third value for truth might be "indeterminate", or a point on a scale between 'true' and 'false'
[O'Grady]
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4752
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Deflationism must reduce bivalence ('p is true or false') to excluded middle ('p or not-p')
[Engel]
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9119
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No attempt to deny bivalence has ever been accepted
[Sorensen]
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6163
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If bivalence is rejected, then excluded middle must also be rejected
[Rowlands]
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4638
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The principle of bivalence distorts reality, as when claiming that a person is or is not 'thin'
[Baggini /Fosl]
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23484
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Bipolarity adds to Bivalence the capacity for both truth values
[Morris,M]
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18840
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When faced with vague statements, Bivalence is not a compelling principle
[Rumfitt]
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