Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

Quotes

• Frege's development began with... "an epoch-making little book" called Begriffsschrift, translated as Concept Script or Conceptual Notation... Just as Aristotle's Prior Analytics is the foundation of traditional or syllogistic logic—the logic of the categorical three-term syllogism, Frege's Begriffsschrift is the keystone of modern or mathematical logic.
  • Michael Losonsky, Linguistic Turns in Modern Philosophy (2006) pp. 148-149.

• In 1920 logic was mostly a philosopher's garden. There were also a few mathematicians there, cultivating the logical roots of the mathematical tree. Today, Recursion Theory, Set Theory, Model Theory and Proof Theory, logic's major subdisciplines, have become full-fledged branches of mathematics.
  • Anil Nerode; Richard Shore (17 January 1997). Logic for Applications. Springer Science & Business Media. p. 1. ISBN 978-0-387-94893-5. 

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