more from Stewart Shapiro

Single Idea 10212

[catalogued under 5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives]

Full Idea

To some extent, every truth-functional connective differs from its counterpart in ordinary language. Classical conjunction, for example, is timeless, whereas the word 'and' often is not. 'Socrates runs and Socrates stops' cannot be reversed.

Gist of Idea

Classical connectives differ from their ordinary language counterparts; '∧' is timeless, unlike 'and'

Source

Stewart Shapiro (Philosophy of Mathematics [1997], 3)

Book Reference

Shapiro,Stewart: 'Philosophy of Mathematics:structure and ontology' [OUP 1997], p.42


A Reaction

Shapiro suggests two interpretations: either the classical connectives are revealing the deeper structure of ordinary language, or else they are a simplification of it.