Sentence examples for in the same extension from inspiring English sources

It is easy to see that at least one default has to be applied in any extension, and that both defaults cannot be applied in the same extension.

The notion of intension was intended to be an explicatum of Frege's "obscure" notion of sense: two expressions have the same intension if and only if they have the same extension in every possible world or, in Carnap's terminology, in every state description (i.e., in every maximal consistent set of atomic sentences and negations of atomic sentences).

Thus, 'Scott' and 'the author of Waverly' have the same extension (in the actual state-description).

Medium coarse: Properties are identical just in case they necessarily have the same extension (the precise import of this condition depends on which notion of necessity is at play).

Buridan held that words first signify concepts, because only then can we explain why terms such as 'being' and 'one' which have the same extension nonetheless differ in signification.

For consider the unary connective \(\dq\), defined by the clause Assuming that Kripke (1971 19800) is right that water is necessarily H2O, \(\dq\) has the same extension as \(\dq{\neg}\) in every possible world, and so satisfies the permutation invariance criterion as a matter of necessity (McGee 1996, 578).

In effect, red and blue areas segregate forming domains of approximately the same extension.

The same extension would apply for four teams.

Use the same extension to download the M4A audio.

The extensions of kind terms of any two subjects with the same internal mental states will have (in the same context) the same extensions.

AMD chose a different direction, designing the less radical x86-64, a 64-bit extension to the existing x86 architecture, which Microsoft then supported, forcing Intel to introduce the same extensions in its own x86-based processors.