Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance Term Paper by Top Papers

Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance
The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring ...
# 137687 | 1,750 words | 3 sources | MLA | 2008 | US
Published on Dec 01, 2008 in Philosophy (Logic)


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Description:

The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring significance of the paradox and the manner in which it has transformed mathematical logic. Ultimately, Russell forced a re-evaluation of Cantor's theorem, led to the formulation of higher-complexity set theories, prompted the creation of type theory and even set in motion the development of axiomatic set theory - which was the precursor to Zermelo-Fraekel set theory. Lastly, the notion of a universal set was called into question by Russell's work. In the final analysis, Bertrand Russell turned the work of Cantor, Frege and many others on its ear - and took logic in exciting new directions.

From the Paper:

Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance The following paper will examine Bertrand Russell's Paradox. To be more specific, the paper will look at how Russell came up with his path-breaking theorem and the history behind the paradox. More importantly, the paper will look at the enduring significance of the paradox and the manner in which it has transformed mathematical logic. Ultimately, Russell forced a re-evaluation of Cantor's theorem, led to the formulation of higher-complexity set theories, prompted the creation of type theory and even set in motion the development of axiomatic set theory

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APA Format

Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance (2008, December 01) Retrieved January 25, 2020, from https://www.academon.com/term-paper/bertrand-russell-paradox-how-he-came-up-with-it-the-history-and-it-significance-137687/

MLA Format

"Bertrand Russell's Paradox: How He Came up with It, The History, and It's Significance" 01 December 2008. Web. 25 January. 2020. <https://www.academon.com/term-paper/bertrand-russell-paradox-how-he-came-up-with-it-the-history-and-it-significance-137687/>

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