Quantificational

Word QUANTIFICATIONAL
Character 16
Hyphenation N/A
Pronunciations N/A

Definitions and meanings of "Quantificational"

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The word "quantificational" in example sentences

In the late 19th and early 20th century Frege, followed by Russell and Whitehead, showed how deductive logic could be represented in the kind of rigorous formal system we now call quantificational logic or predicate logic. ❋ Hawthorne, James (2008)

One can treat (46) as a kind of quantificational claim, whether or not one follows Russell in treating names as disguised descriptions. ❋ Pietroski, Paul (2009)

Another potential application of work on categories lies in the idea that various mistakes and puzzlements in ontology can be traced to the mistaken belief that category-neutral existential and quantificational claims are truth-evaluable (see Thomasson 2007). ❋ Thomasson, Amie (2009)

This suggests covert displacement of the quantificational question-word in Chinese; see Huang (1982, 1995). ❋ Pietroski, Paul (2009)

Davidson (1967a) conjectured that one could do for English what Tarski did for the predicate calculus; and Montague, similarly inspired by Tarski, showed how one could start dealing with predicates that have quantificational constituents. ❋ Pietroski, Paul (2009)

With respect to the proposition that some politician is deceitful, traditional grammar suggests the division ˜Some politician/is deceitful™, with the noun ˜politician™ forming a constituent with the quantificational word. ❋ Pietroski, Paul (2009)

So if English overtly displaces question-words that are covertly displaced in other languages, we should not be surprised if English covertly displaces other quantificational expressions like ❋ Pietroski, Paul (2009)

The complex demonstrative does not refer to Barney in Fred's context, but it does determine or denote Barney in Fred's context, in much the same way that Russell says that definite descriptions denote, but do not refer to, individuals (on his quantificational view of definite descriptions). ❋ Unknown (2009)

But there can be still further quantificational structure in these predicates, and likewise for any such schema, no matter how complex. ❋ Pietroski, Paul (2009)

Aristotle's logic focussed on quantificational propositions; and as we shall see, this was prescient. ❋ Pietroski, Paul (2009)

Predicates can themselves have quantificational structure and relational constituents. ❋ Pietroski, Paul (2009)

Russell concluded that ˜The present king of France is bald™ indicates a quantificational proposition: ❋ Pietroski, Paul (2009)

Together with subsequent developments, Montague's work showed that Frege's logic was compatible with the idea that quantificational constructions in natural language have a systematic semantics. ❋ Pietroski, Paul (2009)

Versions of ESR that employ the Ramsey sentence of a theory and the distinction between observational and theoretical terms are embedded in the so-called syntactic view of theories that adopts first-order quantificational logic as the appropriate form for the representation of physical theories. ❋ Ladyman, James (2009)

But this schema, which fails to reflect any quantificational structure in the predicates, is not valid. ❋ Pietroski, Paul (2009)

P; so every S is D. Aristotle discussed a range of such inferences, called syllogisms, involving quantificational propositions indicated by words like ❋ Pietroski, Paul (2009)

While there may be a boy one refers to in saying ˜the boy sang™, that boy is not a constituent of the quantificational proposition indicated with ❋ Pietroski, Paul (2009)

If we add a modal sentential operator meaning “it is possible that” or “it is necessary that” to classical first-order quantificational logic, along with appropriate axioms and new rule of inference catering to the added operator, the resulting system yields a sentence meaning the following as a theorem: ❋ Yagisawa, Takashi (2009)

Abstracting from the technical details, one can specify an algorithm that pairs each natural language sentence with one or more quantificational expressions like ❋ Pietroski, Paul (2009)

(And until Montague [1970], discussed briefly in the next section, there was no real progress in showing how to systematically associate quantificational constructions of natural language with Fregean logical forms.) ❋ Pietroski, Paul (2009)

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