By Richard L. Epstein,Leslaw W. Szczerba

In Classical Mathematical Logic, Richard L. Epstein relates the platforms of mathematical common sense to their unique motivations to formalize reasoning in arithmetic. The ebook additionally exhibits how mathematical common sense can be utilized to formalize specific structures of arithmetic. It units out the formalization not just of mathematics, but additionally of workforce conception, box conception, and linear orderings. those bring about the formalization of the genuine numbers and Euclidean airplane geometry. The scope and barriers of recent good judgment are made transparent in those formalizations.

The e-book offers certain causes of all proofs and the insights in the back of the proofs, in addition to targeted and nontrivial examples and difficulties. The booklet has greater than 550 routines. it may be utilized in complex undergraduate or graduate classes and for self-study and reference.

Classical Mathematical Logic offers a unified remedy of fabric that before has been to be had in simple terms by way of consulting many various books and examine articles, written with quite a few notation platforms and axiomatizations.

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