The Infinity Heresy
نویسنده
چکیده
Of course, before an unending number of objections start pouring in to my bottomless email box, I need to clarify this brazen claim. After all, humans have been grappling with the concept of infinity for many millennia and mathematicians seem to have (at least in the last 150 years or so) finally tamed it. First, building on the work of Euler, Cauchy and Weierstrass, we now have the ability to work with infinite series and sequences. We sum them, take their products and manipulate them in many ways—all with a mathematical rigour that would have made the ancient Greeks envious. Furthermore, after Cantor’s spectacular discoveries, we even give the various distinct sizes of infinities different names such as
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