#frege

Informal use of Voronoi diagrams can be traced back to Descartes in 1644 Peter Gustav Lejeune Dirichlet used two-dimensional and three-dimensional Voronoi diagrams in his study of quadratic forms in 1850. British physician John Snow used a Voronoi-like diagram in 1854 to illustrate how the majority of people who died in the Broad Street cholera outbreak lived closer to the infected Broad Street pump than to any other water pump. Voronoi diagrams are named after Georgy Feodosievych Voronoy who defined…

Today’s Digital Culture reading was on Frege. After the historical process shaped by thinkers like Hobbes and Leibniz, and by the effects of capitalism, I thought reading Frege would provide a good foundation before moving on to Wittgenstein. Gottlob Frege (1848-1925) was a German mathematician and logician. He spent most of his academic life at the University of Jena. Regarded as one of the founders of modern logic and analytic philosophy, Frege argued that the foundations of mathematics should be…

The question of how form emerges in architecture has always been one of the most fundamental debate topics of computational design. When I was a graduate student, we used to examine how abstract language structures made of words and rules turned into spatial and geometric systems. In this post, starting from the reflection of linguistic theories on architecture, we will talk about the logic of discrete aggregation that we study in the first year Design Computing courses. At the same…

The Hilbert Curve is one of the results of David Hilbert’s vision of mathematics as a network of symbolic systems. Defined in 1891, this curve is a fractal that fills a two-dimensional plane with a one-dimensional line in the limit. It exhibits self-similarity. It emerged from representing higher-dimensional spaces through continuous, lower-dimensional entities. A curve that grows within a bounded area remains continuous but non-differentiable. Yet it possesses infinite length. Perhaps no one will ever truly see or fully grasp…