### The Fundamental Theorem of Arithmetic and Euclid’s Theorem

Saturday, May 21st, 2016I encounter a circular argument in the proofs of Euclid’s theorem on the infinitude of primes that rely on the Fundamental Theorem of Arithmetic for natural numbers. We discover this by carefully observing the set of primes involved in the statement. I am aware that I am making a serious claim here; so I would not [...]