What Simplicity Is Not
There is a duality in mathematics between proofs and counterexamples. To understand a mathematical question one investigates the limits. To investigate Hilbert’s 24th problem, and a mathematical concept of simplicity of a proof we deal here with both sides, focusing on what simplicity is not.
- 1.Benjamin, Walter. “The Image of Proust.” In Illuminations, translated by Harry Zohn. New York: Schocken Books, 1968.Google Scholar
- 2.Einstein, Albert. The Meaning of Relativity: Four Lectures Delivered at Princeton University, May, 1921. Translated by E. P. Adams. Project Gutenberg. May 29, 2011 [EBook #36276].Google Scholar
- 5.Hilbert, David. “On the infinite.” (1925). In From Frege to Gödel, A Source Book in Mathematical Logic, 1879–1931, edited by Jean van Heijenoort. Cambridge, MA: Harvard University Press, 2002.Google Scholar
- 6.Hilbert, David. “Hilbert’s twenty-fourth problem” translated by Rüdiger Thiele. https://en.wikipedia.org/wiki/Hilbert’s_twenty-fourth_problem (2003).
- 7.Kleist, Heinrich von. “On the Marionette Theater.” 1810. Translation quoted from http://ada.evergreen.edu/~arunc/texts/literature/kleist/kleist.pdf.