Logic: Deductive and Inductive
by Carveth Read
Publisher: Project Gutenberg 2006
Number of pages: 417
Logic is the science that explains what conditions must be fulfilled in order that a proposition may be proved, if it admits of proof. When propositions are expressed with the universality and definiteness that belong to scientific statements, they are called laws; and laws, so far as they are not laws of quantity, are tested by the principles of Logic, if they at all admit of proof.
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by George Hayward Joyce - Longmans
This work is an attempt at a presentment of what is frequently termed the Traditional Logic, and is intended for those who are making acquaintance with philosophical questions for the first time. Logic is the theory of the mind's rational processes.
by Lewis Carroll - Macmillan and co
Here you see Carroll the mathematician at his playful best. This isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler.
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The book covers the boolean connectives, formal proof techniques, quantifiers, basic set theory, induction, proofs of soundness and completeness for propositional and predicate logic, and an accessible sketch of Godel's first incompleteness theorem.
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Russell's classic sets forth his landmark thesis that mathematics and logic are identical -- that what is called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on the foundations of mathematics.