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Hack, Hack, Who's There? A Gentle Introduction to Model Theory
Price: Free! Words: 102,170. Language: English. Published: December 24, 2016. Categories: Nonfiction » Science & Nature » Mathematics
The skeleton of this narrative nonfiction book is a science fiction story without the usual mangling of physics. The flesh is composed of self-contained non-technical mainstream explanations and examples of the field of mathematics which deals with meaning, called Model Theory. Technical terms are avoided, except to occasionally serve as keywords.
Fathoming Gödel
Price: Free! Words: 20,010. Language: English. Published: October 22, 2015. Categories: Nonfiction » Science & Nature » Nature, Nonfiction » Science & Nature » Mathematics
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The conclusion reached in "Fathoming Gödel" is that Gödel's 1931 paper is a shell game. It is based on several errors that are well camouflaged. Some shortcomings in the paper are openly admitted although they are downplayed, and errors are also produced in an effort to force a particular conclusion. This critique is limited to Gödel's first incompleteness theorem as translated by Martin Hirzel.