Gottlob Frege

The Philosophy of Ludwig Wittgenstein

The Philosophy of Ludwig Wittgenstein

On April 26, 1889, Austrian-British philosopher Ludwig Wittgenstein was born. He worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. He is considered one of the world‘s most famous philosophers. Wittgenstein‘s influence has been felt in nearly every field of the humanities and social sciences. “My work consists of two parts: of the one which is here, and of everything which I have not…
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Gottlob Frege and the Formula Language of Pure Thinking

Gottlob Frege and the Formula Language of Pure Thinking

On November 8, 1848, German mathematician, logician and philosopher Gottlob Frege was born. He is considered as one of the fathers of modern mathematical logic and has developed the Begriffsschrift, an approach to put classical philosophical logic into a formal mathematical language. While he was mainly ignored by the intellectual world when he published his writings, Giuseppe Peano [7] and Bertrand Russell [8] introduced his work to later generations of logicians and philosophers. Unless…
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Rudolf Carnap and the Logical Structure of the World

Rudolf Carnap and the Logical Structure of the World

On May 18, 1891, German-born philosopher Rudolf Carnap was born. He was a major member of the Vienna Circle and an advocate of logical positivism and made significant contributions to logic and the philosophy of science. To avoid the ambiguities resulting from the use of ordinary language, he made a logical analysis of language. He believed in studying philosophical issues in artificial languages constructed under the rules of logic and mathematics, which…
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George Boole – The Founder of Modern Logics

George Boole – The Founder of Modern Logics

On December 8, 1864, British mathematician and logician George Boole passed away. He is best known as the inventor of the prototype of what is now called Boolean logic, which became the basis of the modern digital computer. Thus, Boole also is regarded as one of the founders of the field of computer science. “It appeared to me that, although Logic might be viewed with reference to the idea of quantity, it…
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David Hilbert’s 23 Fundamental Problems

David Hilbert’s 23 Fundamental Problems

On August 8, 1900 David Hilbert, probably the greatest mathematician of his age,  gave a speech at the Paris conference of the International Congress of Mathematicians, at the Sorbonne, where he presented 10 mathematical Problems (out of a list of 23), all unsolved at the time, and several of them were very influential for 20th century mathematics. “Who of us would not be glad to lift the veil behind which the future…
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