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Frege, Gottlob
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Frege, (Friedrich Ludwig) Gottlob (1848–1925)

German philosopher, the founder of modern mathematical logic. He created symbols for concepts like ‘or’ and ‘if ... then’, which are now in standard use in mathematics. His Die Grundlagen der Arithmetik/The Foundations of Arithmetic (1884) influenced Bertrand Russell and Ludwig Wittgenstein. Frege's chief work is Begriffsschrift/Conceptual Notation (1879).

Frege was born in Wismar on the Baltic coast and studied at Jena and Göttingen; he became professor at Jena 1879.

Frege incorporated improvements to the Begriffsschrift into his two-volume Grundgesetze der Arithmetik/Basic Laws of Arithmetic 1893–1903, but was devastated to receive a letter from Bertrand Russell 1902 in which Russell asked Frege how his logical system coped with a particular logical paradox in set theory. Frege's system was not able to resolve it, and he was forced to acknowledge his system to be useless.

Although at the time Frege was largely discredited, his innovations have been useful in the development of symbolic logic, and even the problem posed by Russell was resolved by later logico-mathematicians.
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Gottlob Frege This is at once clear, if instead of "F(F(u))" we write "([there exists][phi]) : F([phi]u) x [phi]u = Fu".
Wittgenstein's Tractatus 3.333 and Russell's paradox by Sutrop, Urmas / Trames
To distinguish what is conveyed in the text of the Constitution from the Constitution's expected applications, I draw on a long tradition in the philosophy of language beginning most prominently with the great logician Gottlob Frege (44) and continuing to such contemporary philosophers as David Kaplan (45) and David Chalmers.
"This Constitution": constitutional indexicals as a basis for ... by Green, Christopher R. / Notre Dame Law Review
According to the contributors, Russell had already developed much of his work on descriptions and denoting, and had also carried out a lively debate and partnership with Gottlob Frege on similar issues, including the famous Russell's Paradox.
Russell vs. Meinong; the legacy of "on denoting" by Reference & Research Book News
 
 
 
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