Chapter 4, “Shadows From Higher Dimensions” (p. 114)
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As the mathematician Clifford Taubes noted, “Physics is the study of the world, while mathematics is the study of all possible worlds.” Thus, mathematics unveils the infinite possibilities; physics pinpoints the few that structure our universe and our existence.

— Ivars Peterson

What It Means

This is a placeholder explanation generated by the low-overhead model. It interprets "As the mathematician Clifford Taubes noted, “Physics is the study of the world, while mathematics is the study of all possible worlds.” Thus, mathematics unveils the infinite possibilities; physics pinpoints the few that structure our universe and our existence." in the context of "Chapter 4, “Shadows From Higher Dimensions” (p. 114)" to mean that wisdom is timeless.

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Source: Wikiquote: "Ivars Peterson" (Quotes, The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics (1998): All page numbers from the hardcover edition published by Barnes & Noble Revision of The Mathematical Tourist: Snapshots of Modern Mathematics, originally published in 1988 ) The 'What it means' explanation text was generated by Google Gemini Flash (accessed January 18, 2026). https://gemini.google.com/app

About Ivars Peterson

Ivars Peterson (born 4 December 1948) is an award-winning mathematics writer.