more from this thinker
|
more from this text
Single Idea 6163
[filed under theme 5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
]
Full Idea
If you reject the principle of bivalence (that a proposition is either determinately true or false), then statements are also not subject to the Law of Excluded Middle (P or not-P).
Gist of Idea
If bivalence is rejected, then excluded middle must also be rejected
Source
Mark Rowlands (Externalism [2003], Ch.3)
Book Ref
Rowlands,Mark: 'Externalism' [Acumen 2003], p.52
A Reaction
I think Rowlands is wrong about this. Excluded Middle could be purely syntacti, or its semantics could be 'True or Not-True'. Only bivalent excluded middle introduces 'True or False'. Compare Idea 4752.
Related Ideas
Idea 4752
Deflationism must reduce bivalence ('p is true or false') to excluded middle ('p or not-p') [Engel]
Idea 9024
Excluded middle has three different definitions [Quine]
The
18 ideas
with the same theme
[propositions can only be true or false]:
|
21593
|
In talking of future sea-fights, Aristotle rejects bivalence
[Aristotle, by Williamson]
|
|
22154
|
For Aristotle bivalence is a feature of reality
[Aristotle, by Boulter]
|
|
21677
|
How can the not-true fail to be false, or the not-false fail to be true?
[Cicero]
|
|
19102
|
Bivalence is a regulative assumption of enquiry - not a law of logic
[Peirce, by Misak]
|
|
19043
|
Bivalence applies not just to sentences, but that general terms are true or false of each object
[Quine]
|
|
8173
|
Language can violate bivalence because of non-referring terms or ill-defined predicates
[Dummett]
|
|
8195
|
Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense
[Dummett]
|
|
6889
|
Vagueness seems to be inconsistent with the view that every proposition is true or false
[Mautner]
|
|
21606
|
'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false
[Williamson]
|
|
18780
|
Standard disjunction and negation force us to accept the principle of bivalence
[Mares]
|
|
18786
|
Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation
[Mares]
|
|
4700
|
A third value for truth might be "indeterminate", or a point on a scale between 'true' and 'false'
[O'Grady]
|
|
4752
|
Deflationism must reduce bivalence ('p is true or false') to excluded middle ('p or not-p')
[Engel]
|
|
9119
|
No attempt to deny bivalence has ever been accepted
[Sorensen]
|
|
6163
|
If bivalence is rejected, then excluded middle must also be rejected
[Rowlands]
|
|
4638
|
The principle of bivalence distorts reality, as when claiming that a person is or is not 'thin'
[Baggini /Fosl]
|
|
23484
|
Bipolarity adds to Bivalence the capacity for both truth values
[Morris,M]
|
|
18840
|
When faced with vague statements, Bivalence is not a compelling principle
[Rumfitt]
|