Sentence examples for plural interpretation from inspiring English sources

This interpretation is called the plural interpretation of second-order logic.

Nevertheless it is clear that an appeal to the plural interpretation of second-order logic will be tempting for nominalist versions of structuralism.

Indeed, much of the recent interest in plural quantification in logic and philosophy began with Boolos (1984), who provided a plural interpretation of monadic second-order quantification.

Although higher Education Institutions (HEIs) have seen a blossoming of sustainability initiatives of various kinds in recent years, the variety of institutional and socio-economic contexts brings about an equally plural interpretation and implementation of these sustainability change processes.

We note that if second-order logic can be made palatable to the nominalist perhaps by adopting a plural interpretation of second-order logic (Boolos 1984, 1985), or a proof-theoretic semantics, or in any other way—Frege's original definition (which is not formulated in set theory, but in his version of second-order logic) can be employed (Rossberg and Cohnitz 2009).

This approach to second order logic has been extensively criticized by various authors, most notably George Boolos, who in a series of papers, collected in part I of (Boolos 1998), attempted to vindicate second order logic, and to propose a plural interpretation, which is discussed in the article on plural quantification.

In fact, worries of this kind have prompted the proposal of a different kind of notions of validity (for Fregean languages), in which set-theoretic structures are replaced with suitable values of higher-order variables in a higher-order language for set theory, e.g. with "plural interpretations" (see Boolos 1985, Rayo and Uzquiano 1999, Williamson 2003; see also the entry on plural quantification).

The Levites were trained in the art of interpreting the text to the people; the first product of the creative exegesis later known as Midrash (meaning "investigation" or "interpretation"; plural Midrashim) is to be found in the covenant document of Nehemiah, chapter 9 every item of which shows development, not reproduction, of a ruling of the Torah (see Ezra and Nehemiah, books of).

Although plural quantification provides a fairly natural interpretation of quantification over (monadic) concepts, it provides no natural interpretation of quantification over (polyadic) relations.

Midrash, Hebrew Midhrāsh ("exposition, investigation") plural Midrashim, a mode of biblical interpretation prominent in the Talmudic literature.

Plural quantification may offer such an interpretation.