Combining Texts

Ideas for 'Essays on Intellectual Powers: Senses', 'The Structure of Objects' and 'Db (ideas)'

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2 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Consequence is truth-preserving, either despite substitutions, or in all interpretations [Koslicki]
     Full Idea: Two conceptions of logical consequence: a substitutional account, where no substitution of non-logical terms for others (of the right syntactic category) produce true premises and false conclusions; and model theory, where no interpretation can do it.
     From: Kathrin Koslicki (The Structure of Objects [2008], 9.3.2 n8)
     A reaction: [compressed]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
'Roses are red; therefore, roses are colored' seems truth-preserving, but not valid in a system [Koslicki]
     Full Idea: 'Roses are red; therefore, roses are colored' may be necessarily truth-preserving, but it would not be classified as logically valid by standard systems of logic.
     From: Kathrin Koslicki (The Structure of Objects [2008], 9.3.2)