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It is however instructive to contrast induction with deduction: Deductive logic, at least as concerns first-order logic, is demonstrably complete.
To capture this idea formally in deductive logic, we're equating prediction with logical entailment.
Deductive logic then tells us that the logical structures of some sentences i.e., the syntactic arrangements of their logical terms preclude them from being jointly true of any possible state of affairs.
Some Bayesian logicists (e.g., Carnap) thought that inductive logic might be made to depend solely on the logical form of sentences, just like deductive logic.
Deductive logic is the study of the structure of deductively valid arguments—i.e., those whose structure is such that the truth of the premises guarantees the truth of the conclusion.
In deductive logic the syntactic structure of the sentences involved completely determines whether premises logically entail a conclusion.
Text: Warren Goldfarb's Deductive Logic, Hackett, 2003.
Logic in a narrow sense is equivalent to deductive logic.
An introduction to the concepts and principles of deductive logic.
An introduction to the basic tools of deductive logic.
That's a fair sample of the deductive logic on display in Ian Smith's first novel.
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