Category: Infinity
ThoughtThrill presentations involving the concept of infinity.
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Why aleph‑null + aleph‑null = aleph‑null (The Math of Infinity)
Aleph-Null: The Smallest Infinity Aleph-null (ℵ₀) is a cardinal number in set theory that represents the cardinality, or size, of the set of natural numbers {1, 2, 3, …}. It is the first transfinite cardinal number and is used to describe the size of infinite sets. Arithmetic with Aleph-Null Comparing Infinite read more
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Infinity Gets Stranger the Deeper You Go
Why does infinity never behave like a normal number? People think infinity is just a really big number, but infinity is the most broken idea in math, as it does not follow basic rules. Today we’ll cover infinity from ancient India and Greece all the way to the modern mathematics that rigorously define infinity today. read more
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Infinity Paradoxes That Shouldn’t Be Possible
Every Infinity Paradox Explained (Adding the equations and correctly ordering the sections is in progress) 1. Two Envelopes Paradox 2. Galileo’s Paradox 3. Burali–Forti Paradox 4. Russell’s Paradox 5. Tristram Shandy Paradox 6. The Harmonic Series Paradox 7. Grandi’s Series 8. Vitali Sets 1. Two Envelopes Paradox The Two Envelopes Paradox read more
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