Tag: Paradigm Shift

Paradigm Shift:

  Continuous Euclidean space to discrete Galois space* Euclidean space: From a page by Bryan Clair Counting symmetries in Euclidean space: Galois space: Counting symmetries of  Galois space: The…

Bowling in Diagon Alley

Josefine Lyche bowling (Facebook, June 12, 2012) "Where Does Math Come From?" A professor of philosophy in 1984 on Socrates's geometric proof in Plato's Meno  dialogue— "These recondite issues…

Fundamental Dichotomy

Jamie James in The Music of the Spheres (Springer paperback, 1995),  page 28— Pythagoras constructed a table of opposites from which he was able to derive every concept…

Finite Jest

The books pictured above are From Discrete to Continuous , by Katherine Neal, and Geometrical Landscapes , by Amir Alexander. Commentary— “Harriot has given no indication of how to…

Live from New York, It's…

Shift Happens! Another shift — Geometry as Discrete .

Harriot's Cubes

See also Finite Geometry and Physical Space. Related material from MacTutor— Harriot and binary numbers The paper by J. W. Shirley, Binary numeration before Leibniz, Amer. J. Physics 19 (8) (1951),…

Paradigms Lost

(Continued from February 19) The cover of the April 1, 1970 second edition of The Structure of Scientific Revolutions , by Thomas S. Kuhn— This journal on January…

Paradigms

"These passages suggest that the Form is a character or set of characters common to a number of things, i.e. the feature in reality which corresponds to a…