Mathematical logic

10 lives in this collection worked in mathematical logic, from 1815 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: foundations of mathematics, philosophy of language, foundations of geometry, invariant theory, probability theory, set theory. All fields

  • George Boole1815–1864

    Self-taught English mathematician who created the algebra of logic now called Boolean algebra and pioneered operator methods in analysis.

    mathematical logic, algebra of logic, probability theory

  • Gottlob Frege1848–1925

    Founder of modern quantificational logic, author of the logicist programme for arithmetic, and originator of the distinction between sense and reference.

    mathematical logic, foundations of mathematics, philosophy of language

  • David Hilbert1862–1943

    Leader of Göttingen mathematics whose basis theorem, Zahlbericht, axioms of geometry, Hilbert space, Paris problems and proof theory shaped twentieth-century mathematics.

    invariant theory, algebraic number theory, foundations of geometry

  • Bertrand Russell1872–1970

    Discoverer of Russell's paradox, inventor of the theory of types and the theory of descriptions, and co-author with Whitehead of Principia Mathematica.

    mathematical logic, foundations of mathematics, philosophy

  • Alfred Tarski1901–1983

    Polish-American logician who gave the semantic definition of truth, proved the decidability of real closed fields and elementary geometry, co-discovered the Banach–Tarski paradox, and founded the Berkeley school of model theory.

    mathematical logic, model theory, set theory

  • Alonzo Church1903–1995

    American logician who created the lambda calculus, proposed Church's thesis and proved the undecidability of first-order logic.

    mathematical logic, computability theory, lambda calculus

  • Andrey Kolmogorov1903–1987

    Founder of axiomatic probability theory whose work also shaped turbulence, Hamiltonian dynamics, ergodic theory and algorithmic complexity.

    probability theory, real analysis, turbulence

  • Kurt Gödel1906–1978

    Logician who proved the completeness of first-order logic, the incompleteness of arithmetic, and the consistency of the axiom of choice and the continuum hypothesis.

    mathematical logic, set theory, foundations of mathematics

  • Stephen Cole Kleene1909–1994

    American logician who founded recursion theory as a mathematical subject, proving the normal form and recursion theorems, creating the arithmetical and hyperarithmetical hierarchies, realizability and regular expressions.

    mathematical logic, recursion theory, intuitionistic logic

  • Alan Turing1912–1954

    British mathematician who defined computability with the Turing machine, led the breaking of naval Enigma, designed the ACE computer and founded the theory of biological pattern formation.

    mathematical logic, computability theory, cryptanalysis