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Traditionally, logicians have distinguished between deductive logic, whose
principles are used in drawing new propositions out of premises in which they lie
latent, and inductive logic, which ventures conclusions from particular facts that ...
Elementary logic. An area that is perhaps of more philosophical interest is that of
the nature of elementary logic itself. On the one hand, the completeness
discoveries seem to show in some sense that elementary logic is what the
Set Theory and Its Logic (1963). For an advanced treatment, see a.a. fraenkel.
Abstract Set Theory, 3rd ed. (1965). For the logical foundations of mathematics (
number theory and recursive functions), see elliott mendelson. Introduction to ...
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