Henning Genz recounts that the world was full, “there was no room for nothingness”. Democritus and the atomists found a use for empty space: it provides room for atoms to move. To maintain the primacy of the natural numbers, the Pythagoreans had to banish irrational numbers into the void. There is nothing between 1 and 2. Aristotle identified the void as the ground of distinction: […]
The concepts of Distinctions and Labels come from the book Laws of Form, by G. Spencer-Brown. In his book, Spencer-Brown introduces the two following principles on which the previous discussion is based.