Definitions

1. Mathematical logic is a subfield of Logic and Mathematics with close connections to Computer science and Philosophical logic. (Web site)
2. Mathematical logic (formerly known as symbolic logic) is a subfield of mathematics with close connections to computer science and philosophical logic.
3. Mathematical logic was the name given by Giuseppe Peano to what is also known as symbolic logic. (Web site)
4. Mathematical logic is often divided into the fields of set theory, model theory, recursion theory, and proof theory. (Web site)
5. Mathematical logic is concerned with setting mathematics on a rigorous axiomatic framework, and studying the results of such a framework.

Topics

1. LICS is an annual international forum on topics that lie at the intersection of computer science and mathematical logic.

Authors

1. However, most authors in mathematical logic use "formula" to mean "well-formed formula" and have no term for non-well-formed formulas. (Web site)
2. First, it popularized modern mathematical logic to an extent undreamt of by its authors.

Fuzzy Logic

1. In mathematical logic, there are several formal systems of "fuzzy logic"; most of them belong among so-called t-norm fuzzy logics. (Web site)

Sentential Logic

1. That sentential logic is complete is taught in every first university course in mathematical logic. (Web site)

Certain Logic

1. In proof theory and related fields of mathematical logic, a formal calculus is said to be complete with respect to a certain logic (i.e. (Web site)

Analytic Philosophy

1. Second, the methods of mathematical logic have had a great effect on the practice of analytic philosophy.

Jean Van Heijenoort

1. In one of the most important compendia of mathematical logic, compiled by Jean van Heijenoort, Richard's article is translated into English. (Web site)

Modern Mathematical Logic

1. Modern mathematical logic began in 1847, with two pamphlets whose respective authors were Augustus DeMorgan and George Boole.
2. He helped found both modern mathematical logic and analytic philosophy.
3. Logic and philosophy of mathematics Russell had great influence on modern mathematical logic.

Chapter

1. Most of the symbols described here are treated in the chapter on mathematical logic in Cajori's A History of Mathematical Notations, vol. (Web site)

Tools

1. It is a part of set theory, an area of mathematical logic, but uses tools and ideas from both set theory and extremal combinatorics. (Web site)
2. Formal languages are tools in the field of mathematical logic and computer science.

Subject

1. The Principia is widely considered by specialists in the subject to be one of the most important and seminal works in mathematical logic and philosophy.

Article

1. It is so called because it was proposed in an article entitled New Foundations for mathematical logic, which appeared in 1937 (reference to be supplied).

Name

1. Quine first proposed NF in a 1937 article titled "New Foundations for Mathematical Logic"; hence the name.

Reason

1. The properties of logic which may be used to reason are studied in mathematical logic.

Psychology

1. Interdisciplinary research linking computer and information science, linguistics, mathematical logic, neuroscience, philosophy and psychology.
2. He wrote on a wide range of topics, from mathematical logic and semiotics to psychology. (Web site)

Contributions

1. In the extensiveness and originality of his contributions to mathematical logic, Peirce is almost without equal. (Web site)

Description

1. It contained a description of mathematical logic and many important theorems in other branches of mathematics. (Web site)

Connections

1. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. (Web site)

Approach

1. One approach to this problem is to formalize commonsense reasoning using mathematical logic. (Web site)

Analysis

1. The Erlangen Program is carried into mathematical logic by Alfred Tarski in his analysis of propositional truth.

Founder

1. The German mathematician and philosopher Gottlob Frege (1848-1925) is considered the founder of modern mathematical logic. (Web site)
2. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation.
3. George Boole (1815-1864) was a British mathematician and is known as the founder of mathematical logic.

Notion

1. Alfred Tarski in his 1946 Introduction to Logic used the word "matrix" synonymously with the notion of truth table as used in mathematical logic.
2. The notion of a topos was later abstracted by William Lawvere and Miles Tierney to define an elementary topos, which has connections to mathematical logic. (Web site)

Teacher

1. Alonzo Church, an eminent contributor to mathematical logic and teacher of a generation of American logicians, died in Hudson, Ohio on Aug.

Handbook

1. The article by Smorynski in the Handbook of Mathematical Logic also gives a good condensed coverage.

Application

1. In contemporary mathematical logic, the signature varies by application. (Web site)

Work

1. Edward Nelson is a professor in the Mathematics Department at Princeton University, known for his work on mathematical physics and mathematical logic. (Web site)

Russell

1. Russell was without peer in his contributions to modern mathematical logic.

University

1. Peter H. Schmitt received his Doctorate and his Habilitation in the area of mathematical logic at the University of Heidelberg, Germany.

Studying

1. Mathematical logic is concerned with setting mathematics within a rigorous axiomatic framework, and studying the implications of such a framework.

System

1. It is both a mathematical logic and a system of tools for constructing proofs in the logic.

Axioms

1. Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. (Web site)

Study

1. In mathematical logic, algebraic logic is the study of logic presented in an algebraic style.

Frege

1. Frege was the father of modern mathematical logic. (Web site)

Protest

1. The protest was originated by the mother of a student who would not even have been eligible for his graduate-level course in abstract, mathematical logic.

Formal

1. The concept behind formal methods is to be able to verify software products through the use of mathematical logic. (Web site)

Algebra

1. Finitary infinite matroids are studied in model theory, a branch of mathematical logic with strong ties to algebra.

Logicians

1. Kleene's standing in mathematical logic is reflected in the proverb " Kleene liness is next to Gödel iness" among logicians.

Book

1. Although this book begins mathematical logic, it does not begin logical theory. (Web site)
2. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.

General Topology

1. Moreover, some knowledge of mathematical logic and general topology is indispensible for reading this volume. (Web site)

Dominant Form

1. Aristotle's conception of logic was the dominant form of logic until 19th century advances in mathematical logic. (Web site)

Axiomatization

1. Peano's greatest contributions, however, were in the fields of axiomatization of mathematics and mathematical logic. (Web site)

Complex Subject

1. Prolog is a complex subject, especially for someone not well familiar with mathematical logic.

Computability

1. Boolos coauthored with Richard Jeffrey the first three editions of the classic university text on mathematical logic, Computability and Logic.

Kurt Gödel

1. Description: In mathematical logic, Gödel's incompleteness theorems are two celebrated theorems proved by Kurt Gödel in 1930. (Web site)
2. Gödel's completeness theorem is a fundamental theorem in Mathematical logic proved by Kurt Gödel in 1929.

Lattice Theory

1. University of Houston - Mathematical logic, universal algebra, lattice theory and logic programming.
2. Skolem published around 180 papers on Diophantine equations, group theory, lattice theory, and most of all, set theory and mathematical logic. (Web site)

Metamathematics

1. Earlier names for mathematical logic were symbolic logic (as opposed to philosophical logic) and metamathematics. (Web site)
2. Today, metalogic and metamathematics are largely synonymous with each other, and both have been substantially subsumed by mathematical logic in academia. (Web site)

Categories

1. Science > Mathematics > Mathematical Logic > Model Theory
2. Encyclopedia of Keywords > Thought > Philosophy > Logic
3. Information > Science > Mathematics > Set Theory
4. Encyclopedia of Keywords > Information > Information Technology > Computer Science
5. Encyclopedia of Keywords > Information > Science > Mathematics

Subcategories

Model Theory

Cellular Automaton

Proof Theory

Related Keywords

* Abstract Algebra * Category Theory * Combinatory Logic * Computer Science * Descriptive Set Theory * Foundation * Foundations * Logic * Logical Positivism * Logics * Mathematical Concepts * Mathematics * Number Theory * Peano * Philosophy * Proof * Proofs * Recursion Theory * Set Theory * Soundness * Subfield * Theory

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