A Brief History Of Infinity by Brian Clegg

The Quest to Think the Unthinkable

A concise, accessible survey of how the idea of infinity has evolved in mathematics, philosophy and physics, tracing ancient paradoxes and early intuitions through Galileo and the rise of calculus to Cantor’s revolutionary set theory and the hierarchy of infinities, illustrating concepts such as potential vs. actual infinity, Hilbert’s Hotel and Cantor’s diagonal argument, and discussing the implications and confusions about infinity in cosmology, mathematics and theology while aiming to demystify a difficult but foundational concept.

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