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 Aleph-null is closed under addition, multiplication, read more
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Every Type of Infinity Explained
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 The Two Envelopes Paradox presents a dilemma about mathematical expectation that arises when comparing two unknown quantities. The problem is formulated as follows: there are two envelopes, one contains an amount , and the other contains read more
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