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El Axioma de Elección y el Lema de Zorn

The Zermelo-Fraenkel axioms, which underpin all of mathematics, are discussed, along with their history. In particular, the Axiom of Choice and its equivalent, Zorn's Lemma, are examined, as well as the consequences this has had on algebra.

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The Axiom of Choice
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The Axiom of Choice

El Hombre Que Casi Rompe Las Matemáticas (Y A Sí Mismo...)
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El Hombre Que Casi Rompe Las Matemáticas (Y A Sí Mismo...)

Zorn's Motto. What is Zorn-ization?
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Zorn's Motto. What is Zorn-ization?

Zorn's Lemma Demystified
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Zorn's Lemma Demystified

The Professor Who Taught People How To Think (1962)
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The Professor Who Taught People How To Think (1962)

Creator of C++: Bell Labs, Negative Overhead Abstraction, Mistakes | Bjarne Stroustrup
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Creator of C++: Bell Labs, Negative Overhead Abstraction, Mistakes | Bjarne Stroustrup

The Strange Math That Predicts (Almost) Anything
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The Strange Math That Predicts (Almost) Anything

Weird Things Happen When Energy Goes Negative
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Weird Things Happen When Energy Goes Negative

The Riemann Hypothesis, Explained
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The Riemann Hypothesis, Explained

Terence Tao on the cosmic distance ladder
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Terence Tao on the cosmic distance ladder

Is Reality Really Real? With Donald Hoffman
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Is Reality Really Real? With Donald Hoffman

El axioma de elección y el lema de Zorn
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El axioma de elección y el lema de Zorn

The Closest We’ve Come to a Theory of Everything
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The Closest We’ve Come to a Theory of Everything

William Dunham, A tribute to Euler
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William Dunham, A tribute to Euler

Dealing with infinity *without* the axiom of choice
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Dealing with infinity *without* the axiom of choice

The World's Most Important Machine
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The World's Most Important Machine

Something strange happens when you "bump the base"
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Something strange happens when you "bump the base"

How the Axiom of Choice Gives Sizeless Sets | Infinite Series
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How the Axiom of Choice Gives Sizeless Sets | Infinite Series

The Most Absurd Paradox in Mathematics, Simply Proven. Banach-Tarski.
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The Most Absurd Paradox in Mathematics, Simply Proven. Banach-Tarski.

How One Line in the Oldest Math Text Hinted at Hidden Universes
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How One Line in the Oldest Math Text Hinted at Hidden Universes

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