Intensionality (with an s) is non-extensionality.
(They’re called “non-extensional contexts” because “extension” is another term for “reference”.)
It is, nonetheless, of major significance for a full understanding of (the limits of) non-extensional mereologies.
There are, however, non-extensional mereological systems that violate the sameness-of-content criterion as well (see entry on mereology).
As we will see in section 2, an approach based on mereology may well, contrary to what is usually assumed, want to use a non-extensional mereology, where the notion of part is defined in terms of the notion of sum.
On the borderline between foundational issues and applications in computer science, arguments with typical paradoxical flavor appear in the investigation of Feferman’s explicit mathematics (EM), a theory of (self-applicable) operations and non-extensional classifications.
To distinguish the extensional concept of functions-as-sets from the non-extensional concept of functions-as-rules, the latter is often referred to as an ‘intensional’ function concept, in part because of the ostensibly intensional concept of a rule involved.
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But if Presentism were true, when C1 is present C2 would be non-existent, and when C2 is present C1 would be non-existent.
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The Retentional theorists’ momentary specious presents can exist in universes of this sort, as can those of Cinematic theorists, but so too can the non-momentary specious presents to be found in Extensional models.
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Goodman eventually rejects intensional approaches and opts for an extensional theory for sameness of meaning.
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(A correspondent of Lambert, Georg von Holland, had experimented with an extensional theory, and in 1839 the English writer Thomas Solly presented an extensional logic in A Syllabus of Logic, though not…
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Not necessarily, for the Extensional approach is perfectly compatible with version of Presentism which grant to the present a brief duration.
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The idea of possible worlds raised the prospect of extensional respectability for modal logic, not by rendering modal logic itself extensional, but by endowing it with an extensional semantic theory — one whose own logical foundation is that of classical predicate logic and, hence, one on which possibility and necessity can ultimately be understood along classical Tarskian lines.
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Among the extensional logicians are George Boole, Augustus De Morgan, Charles Peirce, and John Venn.
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The notion of join semi-lattice is more general and far less constrained than classical extensional mereology (see Moltmann 1997, ch. 1, for other criticisms of the mereological extensional view).
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Chomsky’s notion ‘E-language’ is supposed to suggest by its initial ‘E’ both ‘extensional’ (concerned with which sentences happen to satisfy a definition of a language rather than with what the definition says) and ‘external’ (external to the mind, that is, non-mental).
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That extensional event was part of a much wider extensional province in north-central Africa.
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Before leaving this overview of the quest for an extensional characterization of higher-order sequentiality, we should mention Bucciarelli & Ehrhard (1994) who introduced a refinement of the dI-domains of Berry supporting a notion of strongly stable function which allows them to build an extensional model of PCF, which is not fully abstract.
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Section VII has as premises extensional relations between ideas, e.g., from A is included in B, we conclude to the equivalence of this premise with A is B.
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So far we have considered extensional arguments against internalism.
non-extensional
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