Infinity: A Very Short Introduction
Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Its history goes back to ancient times, with especiall… Celý popis ↓
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Infinity: A Very Short Introduction
Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes.
Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Cosmologists consider sweeping questions about whether space and time are infinite. Many vital areas of mathematics rest upon some version of infinity.
The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses
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