# Introduction to symbolic logic and its applications pdf

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*The second main part of applied logic concerns the uses of logic and logical methods in different fields outside logic itself. The most general applications are those to the study of language. Logic has also been applied to the study of knowledge, norms, and time.*

## Mathematical logic

Mathematical logic , also called formal logic , is a subfield of mathematics exploring the formal applications of logic to mathematics. It bears close connections to metamathematics , the foundations of mathematics , and theoretical computer science. Mathematical logic is often divided into the fields of set theory , model theory , recursion theory , and proof theory. These areas share basic results on logic, particularly first-order logic , and definability. In computer science particularly in the ACM Classification mathematical logic encompasses additional topics not detailed in this article; see Logic in computer science for those.

## Mathematical logic

I obtained my PhD Dr. Goethe-Universitaet Frankfurt Germany. During the academic year I was a visiting assistant professor in the Department of Mathematics of the University of Michigan , Ann Arbor. Research Interests: Logic in particular proof theory, computability theory and constructive reasoning with applications to mathematics and computer science, computational content of proofs, proof interpretations and their use in mathematics, functionals of higher type, approximation theory, nonlinear analysis, fixed point theory, ergodic theory, abstract Cauchy problems, convex feasibility problems. Other professional activities: Wissenschaftliche Gesellschaft an der J. Majorizable functionals and recursion theoretical models for W. Friedrichs calculi of functionals german.

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## Introduction to symbolic logic and its applications

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. To get the free app, enter your mobile phone number. This book is one of the clearest, most comprehensive and rigorous introductions to modern symbolic logic available in any language.

Thank you for visiting nature. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser or turn off compatibility mode in Internet Explorer. In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript. MacColl is the Athanasius of symbolic logic or only its Ishmael, the fact remains that he seems unable to come to an agreement with other exponents of the subject.

It seems that you're in Germany. We have a dedicated site for Germany. Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation for mathematics.

*The book covers the standard material for a first course in formal logic: central logical concepts validity, consistency, etc. Comprehensiveness rating: 5 see less.*