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Bertrand Russel was a "British philosopher, logician, essayist and social critic best known for his work in mathematical logic and analytic philosophy" (Irvine) He was involved in many political and humanitarian groups and even won a Nobel Peace Prize for his humanitarian support and free thought.
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This is the title of one of Russell's first essays where he tries to apply logic to geometry. Applying logic to all things was kind of Russell's thing. You can ready the essay here: https://users.drew.edu/~jlenz/br-geometry2.html#nstar
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The following video discusses Russell’s Paradox which had a big impact on logic as well as mathematics. The video is quite long, but begins with a paradox that is a more simple version of Russell’s called the Barber Paradox. It says that there is a town that has only one barber who must shave all and only those who do not shave themselves; so does the barber shave himself? If he does not shave himself, then he should; but if he does shave himself then he should not.
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1907, 1922, 1923
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This essay written by Russell explains why we need mathematical logic in philosophy. Russell said, "to sum up, we have seen... that mathematical logic has resolved the problems of infinity and continuity, and that it has made possible a solid philosophy of space, time, and motion.” (Russell) As in his essay about priori, we must have mathematical logic in order to form theories without testing. You can read the essay here:https://www.marxists.org/reference/subject/philosophy/works/en/russell.htm
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Although Russell was not one of the original members, he was well known as a part of the group that started logical positivism; the Vienna Circle. The group argued that only the problems that can be answered with logic are important. “They were convinced that philosophy did not progress because the traditional partners of philosophy – metaphysics and theology – way it down like the albatross on the neck of the ancient mariner!" (Trumpeter).
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For literature in which he wrote not about philosophy, math, or logic, but about humanitarian and freedom focused topics.
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https://www.youtube.com/watch?v=ihaB8AFOhZo
The link is a video of an interview with Nobel Prize winner Russell as he talks about what message he would want to give to future generations. -
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Bertrand Russell, “The A Priori in Geometry,” Proceedings of the Aristotelian Society 3, no. 2 (1895-96), 97-112
Irvine, Andrew David, "Bertrand Russell", The Stanford Encyclopedia of Philosophy (Summer 2019 Edition), Edward N. Zalta (ed.), URL = https://plato.stanford.edu/archives/sum2019/entries/russell/.
Trumpeter, Amy. “Logical Positivism and the Vienna Circle.” Philosophyzer, 8 July 2015, www.philosophyzer.com/logical-positivism/.