Printer Friendly
Dictionary, Encyclopedia and Thesaurus - The Free Dictionary
3,914,821,808 visitors served.
forum Join the Word of the Day Mailing List For webmasters
?
Dictionary/
thesaurus
Medical
dictionary
Legal
dictionary
Financial
dictionary
Acronyms
 
Idioms
Encyclopedia
Wikipedia
encyclopedia
?

Mathematical Logic
(redirected from Logic (mathematics))

   Also found in: Dictionary/thesaurus, Wikipedia 0.01 sec.
mathematical logic: see symbolic logic symbolic logic or mathematical logic, formalized system of deductive logic, employing abstract symbols for the various aspects of natural language.
..... Click the link for more information.
.
mathematical logic [¦math·ə¦mad·ə·kəl ′läj·ik]
(mathematics)
The study of mathematical theories from the viewpoint of model theory, recursive function theory, proof theory, and set theory.

Mathematical Logic 

a branch of logic that makes use of mathematical methods.

The use of formal languages with an exact syntax and precise semantics that unambiguously define the meaning of formulas is characteristic of mathematical logic. The need for such a logic arose in the early 20th century in connection with the intensive development of the foundations of mathematics, the emergence of set theory in which antinomies had been discovered, the refinement of the concept of an algorithm, as well as with other profound and fundamental problems of mathematical science. The importance of mathematical logic for science as a whole, however, is not exhausted by its mathematical applications, since all sciences require good reasoning and methods of proof. This is why mathematical logic can rightfully be called logic in its most recent development.

A. A. MARKOV



Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.
?Page tools
Printer friendly
Cite / link
Feedback
Mentioned in?   Encyclopedia browser?   Full browser?
No references found
 
 
 
Encyclopedia
?

Terms of Use | Privacy policy | Feedback | Advertise with Us | Copyright © 2012 Farlex, Inc.
Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.