How Mathematicians Wrestled with the Biggest Controversy in the Field
Briefly

from www.scientificamerican.com5 months ago
The axiom of choice leads to apparently contradictory results, such as magically doubling a sphere or suggesting finite objects that cannot be measured, stirring controversy.
www.scientificamerican.comhttps://www.scientificamerican.com/article/how-mathematicians-wrestled-with-the-biggest-controversy-in-the-field/
The idea that I can choose one piece of each cake links back to the axiom of choice, a fundamental truth in mathematics that fascinates and confounds.
www.scientificamerican.comhttps://www.scientificamerican.com/article/how-mathematicians-wrestled-with-the-biggest-controversy-in-the-field/
Mathematicians at the end of the 19th century realized the need for a common foundation of basic truths that govern all mathematical results.
www.scientificamerican.comhttps://www.scientificamerican.com/article/how-mathematicians-wrestled-with-the-biggest-controversy-in-the-field/
Some mathematicians seek to overhaul the subject without the axiom of choice, yet a world without it reveals even stranger implications.
www.scientificamerican.comhttps://www.scientificamerican.com/article/how-mathematicians-wrestled-with-the-biggest-controversy-in-the-field/
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#axiom-of-choice #mathematics #foundational-truths #mathematical-controversies #houseguests-and-desserts
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