more from Hilary Putnam

Single Idea 18952

[catalogued under 4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / a. Symbols of PC]

Full Idea

The symbol '⊃' (read 'if...then') is used with the definition 'Px ⊃ Qx' ('if Px then Qx') is short for '(Px & Qx)'.

Gist of Idea

'⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '(Px & Qx)'

Source

Hilary Putnam (Philosophy of Logic [1971], Ch.3)

Book Reference

Putnam,Hilary: 'Philosophy of Logic' [Routledge 1972], p.26


A Reaction

So ⊃ and → are just abbreviations, and not really a proper part of the language. Notoriously, though, this is quite a long way from what 'if...then' means in ordinary English, and it leads to paradoxical oddities.