extensionality


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extensionality

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And a handful of essays by Mary Boole were landmarks in my awareness that it is possible to teach the habits of extensionality. The analysis of 'coincidence observation' by William H.
As we cannot aspire to a total overlapping between the criterion of the extensionality of propositions and the criterion of the extensionality of terms or names, we shall consider that any couple of factual propositions, or propositions with a fluctuating alethic nature, but conflicting with respect to meaning and informational content (and the class of such associations is practically infinite) reveal the matrix of the inter-propositional function Opq = F, improperly called "contradiction."
More about the relationships between Frege's and Russell's theories of meaning may be found in the Chapter 7,"Extensionality and Meaning", in [18].
Supposition, extensionality and conditionals: A critique of Johnson-Laird & Byrne (2002).
An instance of a power type is identified by its elements, just as a set is identified by its elements (axiom of extensionality) [12].
Notice that due to the lack of the axiom of extensionality, this element e is not necessarily unique.
When PP-g-N[H.sub.2] was added, however, the remarkably enhanced interfacial interaction might lower the matrix's extensionality because of the presence of mechanical restraints.
(42) Such a thesis sets intuitionism at a clear distance from the set-theoretical underpinnings of Badiou's enterprise, in which the primacy of extensionality and the ubiquity of actual infinities reign supreme.
Vasquez describes realism as a "paradigm"--a "picture of the world"--rather than a "method" or even a "theory." (65) Vasquez refers to Thomas Kuhn's understanding that the "paradigm" concept includes "the entire constellation of beliefs, values, techniques, and so on shared by the members of a given community." (66) In realist literature, for example, we find frequent reference to "tragedy"; in liberal internationalist writing, "evolution." These recurring images suggest Kahneman, Ritov, and Schkade's concept of "attitude"--a "psychological tendency" to see and evaluate the world with a particular disposition, and consistent interpretation of data, without regard to "the logic of extensionality." (67)
I would say that so retrieves intensional "type" referents (nonpresupposed propositional contents), whereas it prototypically has as potential referents ones that have extensionality, or are propositions that have been mutually validated by the discourse partners: they can be treated as (actual) facts for the purposes of the ensuing discourse, not as possible facts, which is, I believe, why Dik considers so to have this kind of reference.
(K-6) Extensionality: If [??] [alpha] [left and right arrow] [beta] then K - [alpha] = K - [beta].
--Equality between sets is regulated by the standard extensionality axiom (E).