“To know is to possess, & any fact is possessed by everyone who knows it, whereas those who feel the truth are possessed, not possessors.”
— E.E. Cummings
Short version:
ⓐ progress in math ≡ progress in human understanding (NOT problem solving);
ⓑ such progress can only be brought by asking interesting questions;
ⓒ such questions can only be found by (human) learning a problem, thinking hard and ideally getting stuck;
…
… I wonder if there have been linguistic studies on how mathematicians choose their technical terms, and what makes them prefer certain words over others. This could be interesting.
I posted an answer (to an old question) on MathOverflow explaining how one can actually algorithmically compute the 27 lines on a cubic surface (by representing the lines through their Plücker coordinates): https://t.co/b8TSoh4CG8
"I don't believe in boundaries between different areas of mathematics. I like to think about challenging problems that I am excited about, and follow wherever they lead me." – Maryam Mirzakhani (1977–2017)
#quote#mathematics#maths#math
"The sentiment of mathematical elegance is nothing but the satisfaction due to some conformity between the solution we wish to discover and the necessities of our mind [...]" – Henri Poincaré (1854-1912)
#quote#mathematics#maths#math#elegance
Em setembro de 2023, lançamos a Estratégia Nacional para o Desenvolvimento do Complexo Econômico-Industrial da Saúde. Com este programa, queremos fortalecer a indústria nacional de saúde e aumentar a produção nacional de itens prioritários no SUS.
A iniciativa é um dos carros-chefe da Nova Indústria Brasil, coordenada pelo companheiro e ministro do @MDICoficial, @geraldoalckmin.
O trabalho está dando resultados. O ministro @padilhando, do @minsaude, recebeu na última sexta (11) as primeiras unidades de insulina produzidas 100% no Brasil em 20 anos.
Please enjoy this excerpt from my book Lectures on the Philosophy of Mathematics on the topic of infinitesimals revisted, exploring diverse issues in nonstandard analysis. #InfinitelyMore#PhilMaths
Theorem of the Day (June 19, 2025) : Tunnell’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://t.co/H3hDpvMSdj
notes : https://t.co/Ipz9Ha6XTE
#mathematics#maths#math#theorem
19.V
Quote of the Day
Serge Lang
"Axiomatization is what one does last, it's rubbish. It's the hygiene of mathematics, axiomatization."
[Quoted in D MacHale, "Comic Sections" (Dublin 1993)]
25.IV
Quote of the Day #QOTD
Felix Klein (1849 - 1925)
"Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs."
23.IV
Quote of the Day
Max Planck (1858 - 1947)
"It is not the possession of truth, but the success which attends the seeking after it, that enriches the seeker and brings happiness to him."