Mathematical Logic
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Beschreibung
From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and mathematics themselves. Thus we treat mathematical and logical practice as given empirical data and attempt to develop a purely mathematical theory of logic abstracted from these data."
There are 31 chapters in 5 parts and approximately 320 exercises marked by difficulty and whether or not they are necessary for further work in the book.
Autor*in
J.D. Monk
Themen in »Mathematical Logic«
Logic Mathematica Turing algorithms boundary element method computability theory construction decidability functions mathematical analysis mathematical logic model theory recursion turing degree types