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...-18th century, [[Leonhard Euler]] wrote what he admitted to be a [[List of paradoxes#Mathematical and statistical|paradoxical equation]]: ...rive at {{nowrap|1=1 − 2 + 3 − 4 + … = {{frac|1|4}}}} by applying only two physical principles: ''infinitesimal relaxation'' and ''separation of scales''. To b ...

.../ref> He did not abandon mathematics completely, however, lecturing on the paradoxes of set theory ([[Burali-Forti paradox]], [[Cantor's paradox]], and [[Russel ...since accepting the concept of [[actual infinity]] would open the door to paradoxes which would challenge the validity of mathematics as a whole.<ref name="pop ...

* [[Zeno's paradoxes]], particularly the paradox of the runner, are reminiscent of the apparent *{{cite book |last=Bunch |first=Bryan H. |title=Mathematical fallacies and paradoxes |year=1982 |publisher=Van Nostrand Reinhold |isbn=0-442-24905-5}} ...

...[[Arthur Eddington]] drew on Borel's image further in ''The Nature of the Physical World'' (1928), writing: ...essel.<ref>{{cite book | author=Arthur Eddington | title=The Nature of the Physical World: The [[Gifford Lectures]] | publisher=Macmillan | location=New York | ...

...tt|Abbott, Derek]] (2002). "Quantum version of the Monty Hall problem," ''Physical Review A'', '''65''', Art. No. 062318, 2002.</cite> [[Category:Probability theory paradoxes]] ...

==Contributions to the physical sciences== ...n 4.4 (pg. 66)</ref> In ''Pensées'', Pascal surveys several philosophical paradoxes: infinity and nothing, faith and reason, soul and matter, death and life, m ...

...r the universe as a whole, since travel times may well explain the lack of physical presence on Earth of alien inhabitants of far away galaxies. However, the q A similar argument holds that interstellar physical travel may be possible, but is much more expensive than interstellar commun ...