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<p>demonstrated that one of Frege's rules of self-reference was self-contradictory.  In an appendix to the second volume, Frege acknowledged that one of the axioms of his system did in fact lead to Russell's paradox.</p>

<p>Frege, the story goes, plunged into depression and did not publish the third volume of his work as he had planned. For more see Davis (2000) Chapters 3 and 4: Frege: From Breakthrough to Despair and Cantor: Detour through Infinity. See van Heijenoort for the original works and van Heijenoort's commentary.</p>

<p>These controversies</p><p>
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