Cynthia Barnett, The Sound of the Sea: Seashells and Fate Oceans (New York: W.W. Norton & Company, 2021), xii + 417 pp, $27.95 (cloth), ISBN: 9780393651447.

This article discusses the important and influential views of John Burgess on nature mathematical rigour Norton thought experiments. Their accounts turn out to be surprisingly similar in spite different subject matters. Among other things both require a reconstruction initial proof or experiment order officially evaluate them, even though we almost never do this practice. The each are plausible...

• Very abstract • The part that doesn’t change • Defines common terminology • Usually not heavily debated • Is not the implementation detail at all Mark Norton, June 13, 2005

Suppose that d > 1 is the largest power of two that divides the order of a finite quasigroup Q. It then follows that each automorphism of Q must contain a cycle of length not divisible by d in its disjoint cycle decomposition. The proof is obtained by considering the action induced by the automorphism on a certain orientable surface originally described in a more restricted context by Norton an...

Despite the suggestiveness of their empirical findings, I argue that the implications of Norton and Ariely's work are unclear, both morally and politically.