in the history of the Universe up to that point. Conway and Kochen’s proof is elegant and involves some mental gymnastics, but it is no harder than Archimedes’ proof of the infinity of primes we looked at earlier. Let us start with our twin particles. We are going to pick bosons, which have whole number spi

ward more than 2,500 years, and we’re still wrestling with infinity and the paradoxes it raises. In between, the inventors of calculus, starting with Archimedes around 250 BC and culminating with Newton and Leibniz in the mid-1600s, tried to domesticate infinity to make what we now regard as integral and diff