Indefinites must sometimes be interpreted as existential quantifiers, and other times as universal quantifiers, without any apparent regularity.
12.
The rule for universal quantifiers becomes:
13.
Linguists do, however, agree that universal quantifiers, such as : every, and each, cannot be embedded in the partitive position.
14.
The main problem of tableau without unification is how to choose a ground term t for the universal quantifier rule.
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It is generally given as a quantification rule for the universal quantifier but it can also be encoded in an axiom.
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In the sentence " For every'y','y'is the leader of their nation . " This is an example of the universal quantifier.
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By introducing dummy variables, any formula in prenex normal form can be converted into a sentence where existential and universal quantifiers alternate.
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:: Another way of looking at it is that the original problem, as given by the teacher, has a missing universal quantifier.
19.
By " any statement " I meant a statement consisting of existential and universal quantifiers, conjunctions, disjunctions and negations, and equalities and comparisons.
20.
In mathematics, existence is asserted by a quantifier, the existential quantifier, one of two quantifiers ( the other being the universal quantifier ).
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