В этом состоит философия математического образования "В Фейсбуке появилась ссылка на текст, который начинается с предложения "This paper is written for those who hate fascism and mathematics."" --
https://aron-turgenev.livejournal.com/1140349.html"The Philosophy of Mathematics Education Journal No. 42 (2024)
HEGEL’S DIALECTICS AS AN INVITATION TO CLASS STRUGGLE IN MATHEMATICS
Roberto Ribeiro Baldino and Tânia Cristina Baptista Cabral
Universidade Estadual do Rio Grande do Sul, Brazil
Abstract
This paper is written for those who hate fascism and mathematics. Based on Hegel’s narration of Kant’s philosophy, we have created two characters, Speculation (Hegel) and Understanding (Kant) and trust in Marx’s anatomy metaphor to show that these characters have been staging class-struggle in science since the time when Newton and Leibniz invented calculus. This mathematics lives in symbiosis with fascism through the pedagogy of credit system.
We point to the mathematics of the twentieth century (M20) a product of Understanding, as the reader’s true object of hate. The mathematics necessary to follow our argument does not go beyond elementary school. We show that, from the simultaneous birth of calculus and capitalism in the seventeenth century, Speculation has been challenging Understanding with the concept of infinitesimal while Understanding takes refuge in arbitrary language conventions to ensure mathematical truth. No wonder so many hate M20. In the final section we lead Understanding to speak up the source of its silence about labor-power and surplus-value. This silence stems from the silence around qualified-labor-power, a special commodity produced in school. We answer Althusser’s question: Why is the educational apparatus in fact the dominant Ideological State Apparatus in capitalist social formations, and how does it function? It is because the school credit system leads students to participate in an economic practice of production and seizure of surplus-value, the basic operation of capitalism, elicited by Marxism."
https://sites.exeter.ac.uk/pmej/wp-content/uploads/sites/569/2024/12/Roberto-Ribeiro-Baldino-and-T%E3%83%8Fia-Cristina-Baptista-Cabral-Hegels-dialectics-as-an-invitation-to-class-struggle-in-mathematics.pdf