[FOM] About paradox theory
Zvonimir Sikic
zvonimir.sikic at gmail.com
Fri Sep 16 05:52:41 EDT 2011
Maybe this short article could be of interest
http://www.fsb.unizg.hr/matematika/sikic/download/ZS_cantors_theorem.pdf
Šika
I'm sure your project has merit, but I can never overcome "Russell's
Paradox" because of the following theorem of first-order logic.
~EyAx[F(xy) <--> ~F(xx)]
As a consequence, I tend to dismiss R's Paradox as having
nothing to do with sets or anything else in particular. I'm sure I must be
wrong in this, as his paradox regarding classes or sets enjoys such wide
popularity, perhaps due to the Frege connection, and was perhaps a guiding
light for improved set theories. So, perhaps someone will please give me a
good reason not to trivialize it so. Perhaps I'm making some significant
mistake. I'd be glad to be corrected.
Charlie
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