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Chapter 7: Selva Selvaggia

    https://doi.org/10.1142/9789811200076_0007Cited by:1 (Source: Crossref)
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    Abstract:

    Arturo Sangalli conjectured in his romance Pythagoras’ Revenge that the collection of all mathematical objects — the “space of mathematics” — has a random structure. We call that conjecture “the Chaitin–Thorp theorem”, as it originates in a result by Chaitin and is proved in the romance by fictional mathematician Norton Thorp. We prove in this chapter a version of the Chaitin–Throp theorem.