Sentence examples for interpretations on which from inspiring English sources
To make sense of interpretations on which the quantifiers are taken to range over a universal domain, one may adopt a higher-order characterization on which an interpretation corresponds to the value of a second-order variable, $I$, which is taken to apply to ordered pairs of certain kinds.
The motivation for N1 is more or less the same as the motivation for M1 and M2: charity favors interpretations on which ordinary utterances of 'there are statues' come out true, and nothing overrides the presumption of charity.
For instance, the liberal interpretations on which D1 comes out true ('Goliath and Lumpl exist') must, on pain of contradiction, make at least one of D2 through D4 come out false.
The addition of meaning postulates does rule out some interpretations (e.g., interpretations on which the extension of 'bachelor' and the extension of 'married' may intersect in some possible world).
Let us call interpretations of 'there are statues' on which the existence of atoms arranged statuewise suffices for its truth liberal, and interpretations on which that does not suffice for its truth demanding.
The demanding interpretations on which D1 comes out false do better than the liberal interpretations on this score, since they can make all of D2 through D4 come out true.
Yet arguably he underplays how far the expansion of schooling has come at the cost of educational standards.These are points of political interpretation on which people can reasonably differ.
Thus "Bill will visit France or Germany this summer; indeed, he will drive through both countries on his way to Poland" has no interpretation on which it is contradictory.
(Consider, for example, an interpretation on which "j" is assigned the number 7, "N" the set of prime numbers, and "D" the set of numbers greater than 12).
Since there will also be an intended interpretation on which V=L turns out false, the interpetation of 'set' must be indeterminate [Bays 2001].
For example, it is sometimes suggested that a neo-Kantian interpretation of social constructionism is possible, an interpretation on which our socio-linguistic activities could provide a transcendental basis for any knowledge of the world.
