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Full Idea
It is customary in logic to take a theory to be a set of sentences closed under logical consequence, whereas it is common in discussions of theories of truth to take a theory to be an axiomatized theory.
Gist of Idea
Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms
Source
Kit Fine (Semantic Necessity [2010], n8)
Book Ref
'Modality', ed/tr. Hale,B/Hoffman,A [OUP 2010], p.74
14530 | The role of semantic necessity in semantics is like metaphysical necessity in metaphysics [Fine,K, by Hale/Hoffmann,A] |
14618 | Semantics is either an assignment of semantic values, or a theory of truth [Fine,K] |
14619 | The Quinean doubt: are semantics and facts separate, and do analytic sentences have no factual part? [Fine,K] |
14621 | Semantics is a body of semantic requirements, not semantic truths or assigned values [Fine,K] |
14622 | Referential semantics (unlike Fregeanism) allows objects themselves in to semantic requirements [Fine,K] |
14620 | Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K] |