Rigor's place in mathematics


Found in Hubbard and Hubbard’s vector calculus textbook.

Rigor is ultimately necessary in mathematics, but it does not always come first, as Archimedes acknowledged in his own work, in a manuscript discovered in 1906. In it, Archimedes reveals that his deepest results were found using dubious infinitary arguments, and only later proved rigorously, because “it is of course easier to supply the proof when we have previously acquired some knowledge of the questions by the method, than it is to find it without any previous knowledge”.

Related Posts

e-ink reminisces

Edwin Edwards

Middle School by Bo Burnham

How to Disable Disqus Ads on your Blog

Derivation of Reservoir Sampling

Fun with Python Iterators: Linked Lists Made Easy

Notes for November 11, 2018

Underrated Vim Option: undofile and undodir

Hot Take on Solo Travel: Starve

Alan Perlis