| In the classical predicate calculus only conjunction, negation and the universal quantifier are needed. |
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| Disjunction, implication and the existential quantifier are definable making free use of double negation. |
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| It is mapped onto the restrictor of the generic quantifier, hence an inductivist reading is available. |
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| Thus, pronouns in discourse anaphora are not variables bound by their quantifier antecedents. |
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| The claim, of course, was that referential uses of a description are a function of pragmatics, not quantifier scope. |
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| The distinction here can be seen as a distinction of scope for the existential quantifier. |
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| Of course, more complex formulas than these can easily be constructed, using more than one quantifier and symbols for negation, conjunction, disjunction, and so forth. |
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| In each case, the proposition expressed is argued to be that which would be expressed if the indefinite determiner were replaced by the existential quantifier. |
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| A different approach would be to take the existential quantifier as a substitutional quantifier where the substitution class consists of sentences. |
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| Here we see an objective complement of a finite verb begin with the quantifier. |
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| These axiom schemata are also used in the predicate calculus, but additional logical axioms are needed to include a quantifier in the calculus. |
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| This is where translation is dealt with, as well as important matters such as truth tables, quantifier scope, and the construction of a model. |
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| It calls out for a delimitation of quantifier scope by brackets or other delimiters rather than struggling to maintain freedom from parentheses at all costs. |
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| Among the joint-carving terms, the most important one in this context is the existential quantifier. |
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| In modern versions of Perl, you can force nongreedy, minimal matching by placing a question mark after any quantifier. |
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| Fitch's Paradox is presented as a problem for realism, and is 'solved', I think, by denying that existential quantifier elimination is legitimate. |
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