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Berry's paradox

Analysis 43 (4):170-176 (1983)

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  1. On There Being Infinitely Many Thinkable Thoughts: A Reply to Porpora and a Defence of Tegmark.Benjamin L. Curtis - 2015 - Philosophia 43 (1):35-42.
    Porpora offers an a priori argument for the conclusion that there are infinitely many thoughts that it is physically possible for us to think. That there should be such an a priori argument is astonishing enough. That the argument should be simple enough to teach to a first-year undergraduate class in about 20 min, as Porpora’s is, is more astonishing still. Porpora’s main target is Max Tegmark’s recent argument for the claim that if current physics is right, then there are (...)
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  • Supervenience Physicalism and the Berry Paradox.Douglas V. Porpora - 2021 - Philosophia 49 (4):1681-1693.
    This paper intervenes in an argument over the number of thoughts that could be thought. The argument has important implications for supervenience physicalism, the thesis that all is physical or supervenient on the physical. If, per quantum mechanics, the number of possible physical states is finite while the number of possible thoughts is infinite, then the latter exceeds the former in number, and supervenience phyicalsim fails. Abelson first argued that possible thoughts are infinite as we can think of any of (...)
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