Quantification and the Empty Domain¶
Quine, W. V. (1954). Quantification and the Empty Domain. The Journal of Symbolic Logic, 19(3), 177-179.
Cited by¶
1 citation across 1 artifact.
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Primes¶
- Identity Element
- Because the empty conjunction takes the value of its unit, a universally quantified claim over an empty domain comes out true and an existential false — vacuous truth is the empty-composition clause wearing a logician's vocabulary.
This sourceStates the empty-domain convention directly - mark the universal quantifications true and the existential ones false, then apply truth-table considerations.
- Because the empty conjunction takes the value of its unit, a universally quantified claim over an empty domain comes out true and an existential false — vacuous truth is the empty-composition clause wearing a logician's vocabulary.
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Registry ID ref:be700385c1a4 · see in the full table