Exploring Pi, Infinities, and Normality

• Matthew Cataylo West

  The Yay Company

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This paper explores the properties of the transcendental number π, specifically with regard to the unproven conjecture of its normality. We investigate the logical constraints of infinite decimal expansions, the impossibility of terminal digits in infinite sequences (the ”After-Infinity” Paradox), and the counterintuitive nature of countable versus uncountable infinities as defined by Georg Cantor.

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