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PHIL 1154: Logical Theory Materials: Logical Theory Articles

Archive of resources for Peter S. Fosl's logic class.

Gödel's theorem, Russell's Paradox, Church's Theorem articles

"An Informal Exposition of Gödel's and Church's Theorems"
Barkley Rosser's article in the "Journal of Symbolic Logic" explaining informally the meaing of Gödel's theorems and Church's theorems.

"What Does Gödel's Second Incompleteness Theorem Show?"
An article about the implications and limitations on Kurt Gödel's second incompleteness theorem.

"Gödel's Theorem and Postmodernism"
David Wayne Thomas contrasts the implications of Gödel's theorem and postmodernism.

Scientific American Article on Russel's Paradox
An accessible article explaining the meaning of Russell's Paradox.
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Relevant to PHIL 1154: Practical Logic

"Why Russell's Paradox Won't Go Away"
An article by Francis Moorcroft in the journal "Philosophy" about the persistent importance of the paradox.
"Paradoxes"
A sophisticated article by John Myhill in the journal "Synthese" on set-theoretic and property-theoretic paradoxes.