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10973 | A theory is logically closed, which means infinite premisses [Read] |
Full Idea: A 'theory' is any logically closed set of propositions, ..and since any proposition has infinitely many consequences, including all the logical truths, so that theories have infinitely many premisses. | |
From: Stephen Read (Thinking About Logic [1995], Ch.2) | |
A reaction: Read is introducing this as the essential preliminary to an account of the Compactness Theorem, which relates these infinite premisses to the finite. |