Thinking Through Infinity with Projective Geometry

Thinking Through Infinity with Projective Geometry

Quita Brodhead. Whence and Where To. 2000. Oil on canvas. 36-1/4 x 48 inches. Courtesy of Hollis Taggart Galleries, New York, and the Estate of Quita Brodhead I'd like to offer something from the realm of projective geometry, with respect to infinity, that is (believe it or not) very practical.  I have found that projective geometry...

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Reality, Process, and Mathematics

Reality, Process, and Mathematics

All the qualities of the physical world exist through the interrelations of things to each other. What Moleschott says is correct for physical existence: 'All existence is an existence through qualities. But there is no quality that does not exist through a relation.' Just as everything of a soul nature contains something in itself...

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Harmonic Points and Lines: A Projective Geometric Exercise

WARNING: PROJECTIVE GEOMETRY MAY PUT HOLES IN YOUR BRAIN.  YOUR MIND MIGHT LEAK OUT - IF YOU WANT YOUR MIND IN YOUR BRAIN STOP READING NOW. Okay, here is a geometric exercise that I find very interesting (for some context about WHY it is interesting, look here). It is, however, more complicated than the previous one...

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Why every line is a circle… and vice versa: a projective geometric exercise.

I'd like to make a contribution with regards to circularity/linearity, from a geometrical standpoint.  If you don't like geometry, stop reading, or better yet, read with increased intensity. The polarity between circle/line is one that is fundamental to many geometries - they are taken to be quite different logical entities.  Primarily this arises because of...

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