Thursday, July 8, 2010

Second feature of glossary in Grice's natural deduction

The second feature involves the reading of

phi(alphaj, ..., alphak)

and

phi(omegaj, ..., omegak)

where omega stands for any variable (it is a metalogical term) and alpha stands for any constant of an individual (metalogical term also).

The first reads:

"a formula, phi, which contains

occurrences of the individual constant a, where

each such occurrence is an occurrence of aj, ..., ak."

Similarly, for the variable version:

"a formula, phi, which contains

occurrences of the variable omega, where

each such occurrence is an occurrence of omegaj, ... omegak".

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