Paradoxes of Set Theory

This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter-intuitive mathematical results, rather than actual logical contradictions within modern axiomatic set theory.

Read more about Paradoxes Of Set Theory:  Paradoxes of The Infinite Set, Paradoxes of The Supertask, Paradoxes of Proof and Definability, See Also

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    This is one of the paradoxes of the democratic movement—that it loves a crowd and fears the individuals who compose it—that the religion of humanity should have no faith in human beings.
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    The joy of life consists in the exercise of one’s energies, continual growth, constant change, the enjoyment of every new experience. To stop means simply to die. The eternal mistake of mankind is to set up an attainable ideal.
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    ... the first reason for psychology’s failure to understand what people are and how they act, is that clinicians and psychiatrists, who are generally the theoreticians on these matters, have essentially made up myths without any evidence to support them; the second reason for psychology’s failure is that personality theory has looked for inner traits when it should have been looking for social context.
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