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Full Idea
There can be nothing intermediate to an assertion and a denial. We must either assert or deny any single predicate of any single subject.
Gist of Idea
We must either assert or deny any single predicate of any single subject
Source
Alain Badiou (Briefings on Existence [1998], 1011b24)
Book Ref
Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.107
A Reaction
The first sentence seems to be bivalence, and the second sentence excluded middle.
| 1554 | Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind] |
| 1705 | It doesn't have to be the case that in opposed views one is true and the other false [Aristotle] |
| 12368 | Negation takes something away from something [Aristotle] |
| 16491 | If we define 'this is not blue' as disbelief in 'this is blue', we eliminate 'not' as an ingredient of facts [Russell] |
| 12594 | If one proposition negates the other, which is the negative one? [Harman] |
| 12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
| 19005 | Not-A is too strong to just erase an improper assertion, because it actually reverses A [Yablo] |
| 18906 | Negating a predicate term and denying its unnegated version are quite different [Engelbretsen] |
| 11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
| 18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |