Economics is an area that is built on mathematical models that simplify highly complex phenomena. People often forget that, as a result, economic models omit human and historical factors that are fundamentally non-mathematical and outside its scope. Thus the impossibility of building ...
An interesting quantitative comparison between Euler's and Grothendieck's works, by Thomas Sauvaget:
"Let’s see: assuming 50% of mathematical content, that’s (15,000+50,000)/2=32,500 pages. Chopping that into bunches of 200 pages, that’s about 162 books. In comparison, Euler’s Collected Works are said to fill 60 to 80 books…"
Caramello has a Controversy with some senior members of her field. She had the courage to go ahead and ask them for public reaction. Now she has gotten some replies and published them on her website . An interesting read.
Andre Joyal in his reply  concludes:
Olivia Caramello shows a remarkable talent in discovering and bringing to light certain general aspects of mathematics. Her methodology “toposes as bridges” is a vast extension of Felix Klein’s Erlangen Program.
Maybe Olivia might take that as at least partial payoff for all the pain.
Unifying theory. Controversy with category theorists. Overview and results of the initiative of clarification. Introduction. Reasons why I have undertaken this initiative of clarification. The denigratory campaign. Reasons behind the denigratory campaign. A bit of history ...
In the Declaration of Independence, Jefferson famously wrote "We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.