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  2. Piergiorgio Odifreddi - Wikipedia

    en.wikipedia.org/wiki/Piergiorgio_Odifreddi

    Piergiorgio Odifreddi (born 13 July 1950, in Cuneo) is an Italian mathematician, logician, scholar of the history of science, and popular science writer and essayist, especially on philosophical atheism as a member of the Italian Union of Rationalist Atheists and Agnostics. He is philosophically and politically near to Bertrand Russell and Noam ...

  3. Mathematical logic - Wikipedia

    en.wikipedia.org/wiki/Mathematical_logic

    t. e. Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power.

  4. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such ...

  5. Giuseppe Peano - Wikipedia

    en.wikipedia.org/wiki/Giuseppe_Peano

    Giuseppe Peano ( / piˈɑːnoʊ /; [1] Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is ...

  6. Philosophiæ Naturalis Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Philosophiæ_Naturalis...

    Philosophiæ Naturalis Principia Mathematica at Wikisource. Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) [1] often referred to as simply the Principia ( / prɪnˈsɪpiə, prɪnˈkɪpiə / ), is a book by Isaac Newton that expounds Newton's laws of motion and his law of universal ...

  7. Logic - Wikipedia

    en.wikipedia.org/wiki/Logic

    Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises due to the structure of arguments alone, independent of their topic and content.

  8. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    Propositional calculus. The propositional calculus [a] is a branch of logic. [1] It is also called propositional logic, [2] statement logic, [1] sentential calculus, [3] sentential logic, [1] or sometimes zeroth-order logic. [4] [5] It deals with propositions [1] (which can be true or false) [6] and relations between propositions, [7] including ...

  9. Algebraic logic - Wikipedia

    en.wikipedia.org/wiki/Algebraic_logic

    Algebraic logic. In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables . What is now usually called classical algebraic logic focuses on the identification and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute ...