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Technology Stocks : Artificial Intelligence, Robotics, Chat bots - ChatGPT
NVDA 199.04+5.7%Nov 10 3:59 PM EST
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From: Frank Sully5/2/2025 7:07:01 PM
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Off Topic Discussion: (Continued)

Like most mathematicians, I am in large part a Platonic Realist: i.e., I believe mathematical objects such as square root of two and a circle of radius one exist in a real world. However, the resolution of an old problem due to Cantor casts doubt on this enterprise, the Continuum Hypothesis. Recall the Real Numbers have a higher order of infinity (cardinality aleph one) than the Rational Numbers (cardinality aleph zero). Cantor's Continuum Hypothesis (which reportedly drove him crazy) stated that there is no set X with infinity size (cardinality) between the two, i.e., aleph zero < cardinality(X) < aleph one. It turns out that within the axioms of modern set theory underlying modern mathematics the Continuum Hypothesis can be either True or False - it is Undecidable! See seven minute video below.

youtu.be
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