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What does GC stand for?

GC stands for Goldbach's Conjecture

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While this goal is perhaps commendable, readers will not get very far into Good God--perhaps to the application of Goldbach's conjecture to conceivability limits (59-60)--without recognizing the benefits of some formal training in philosophy (and perhaps theology, for later chapters) for a full appreciation of the discussion.
Just like the Collatz 3n + 1 Conjecture and the Riemann Hypothesis, there are heuristic probabilistic arguments which support Goldbach's Conjecture, and Goldbach's Conjecture has been verified by computers for a large number of even numbers [20].
He and Godel both turn up as characters in Apostolos Doxiadis's 1992 novel Uncle Petros and Goldbach's Conjecture, of which an English translation was published last year to considerable success.