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Ideas for 'Truth (frags)', 'Higher-Order Logic' and 'Meditatio de principio individui'

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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence can be defined in terms of the logical terminology [Shapiro]
     Full Idea: Informally, logical consequence is sometimes defined in terms of the meanings of a certain collection of terms, the so-called 'logical terminology'.
     From: Stewart Shapiro (Higher-Order Logic [2001], 2.4)
     A reaction: This seems to be a compositional account, where we build a full account from an account of the atomic bits, perhaps presented as truth-tables.