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induction, in logic

(Encyclopedia)induction, in logic, a form of argument in which the premises give grounds for the conclusion but do not necessitate it. Induction is contrasted with deduction, in which true premises do necessitate t...

Frege, Gottlob

(Encyclopedia)Frege, Gottlob gôtˈlōp frāˈgə [key], 1848–1925, German philosopher and mathematician. He was professor of mathematics (1879–1918) at the Univ. of Jena. Frege was one of the founders of moder...

Langer, Susanne Knauth

(Encyclopedia)Langer, Susanne Knauth nouth lăngˈər [key], 1895–1986, American philosopher, b. New York City, grad. Radcliffe (B.A., 1920; Ph.D., 1926). After holding various teaching posts, she was a lecturer ...

Carnap, Rudolf

(Encyclopedia)Carnap, Rudolf kärˈnäp, –năp [key], 1891–1970, German-American philosopher. He taught philosophy at the Univ. of Vienna (1926–31) and at the German Univ. in Prague (1931–35). After going t...

Shannon, Claude Elwood

(Encyclopedia)Shannon, Claude Elwood, 1916–2001, American applied mathematician, b. Gaylord, Michigan. A student of Vannevar Bush at the Massachusetts Institute of Technology (MIT), he was the first to propose th...

semantics

(Encyclopedia)semantics [Gr.,=significant] in general, the study of the relationship between words and meanings. The empirical study of word meanings and sentence meanings in existing languages is a branch of lingu...

Leibniz, Gottfried Wilhelm, Baron von

(Encyclopedia)Leibniz or Leibnitz, Gottfried Wilhelm, Baron von both: gôtˈfrēt vĭlˈhĕlm bärônˈ fan līpˈnĭts [key], 1646–1716, German philosopher and mathematician, b. Leipzig. Although known primarily...

Nagel, Ernest

(Encyclopedia)Nagel, Ernest, 1901–85, American philosopher, b. Nové Město (now in the Czech Republic), grad. College of the City of New York, 1923, and Columbia (Ph.D., 1930). His family emigrated to the United...

Boolean algebra

(Encyclopedia)Boolean algebra bo͞oˈlēən [key], an abstract mathematical system primarily used in computer science and in expressing the relationships between sets (groups of objects or concepts). The notational...

De Morgan, Augustus

(Encyclopedia)De Morgan, Augustus də môrˈgən [key], 1806–71, English mathematician and logician, b. India. A noted teacher, he was professor of mathematics (1828–31, 1836–66) at University College (now pa...