A serendipitous encounter with an intriguing exercise led me to an Eureka! moment, with great beauty involved.
Hey folks, it's been a while! One of my New Year's resolutions is to write more on this blog (at least weekly, says the list), so here I am. My biggest impairment in doing so has been the feeling of incompetence about a lot of the stuff that interests me, hence my good intentions crashed … Continue reading The one integration secret mathematicians don’t want you to know
I just finished reading What does a mathematical proof prove?, a (supposedly) classic in philosophy of math by Imre Lakatos and it confirmed what I feared was happening: I can no longer bear any humanities paper. Everything you read typically has a 10x multiplier on words, and usually boils down to one/two interesting perspectives on … Continue reading On humanities papers and mathematical naivety.
Category theory is a very fascinating area of mathematics. It's unexpectedly powerful in an incredible width of different contexts, from the purest abstractions to the most concrete applications. I'm far from being an expert in category theory, although I enjoy fiddling with it and looking through the categorical lens at the material of my courses. … Continue reading Perspectives on categories.
Today I stumbled upon an interesting article about a 'paradoxical' appearance of the axiom of choice in a generalization of the known 'hats on prisoners' puzzle. Two Three interesting thing in the linked page: The generalization of the game: multiple colours, infinite prisoners. I also guess ultrafilters appear, in disguise, when talking equivalences on infinite … Continue reading A game with AC, plus the story of a poster.
La playlist di questo mese è uscita proprio bene, perciò merita una menzione speciale. Si tratta di una playlist breve, che non raggiunge l'ora (58 minuti), e questo sicuramente contribuisce a darle coerenza. In linea con il trend degli ultimi mesi, la percentuale di canzoni italiani è ampissima (12/17), con un'importante ma attesa presenza di … Continue reading march18
I recently found out about Operation 'Serenata de Amor' (thank you, Hacker Newsletter) and that reminded me of some thoughts I had about AI and government. Being the topic hot, I guess it would be nice to share my 2 cents here. One of the main problems of any country, some more than others, is corruption. … Continue reading Naïve thoughts about AI and politics.