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EricLengyel

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I've written a new blog post called "Dual Approaches to Projective Geometric Algebra".

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@EricLengyel One pain behind point-based PGA is it's inconsistency with set theory and Boolean logic, given grades appear as literal bitcodes that you'd want to do Boolean logic on.

@EricLengyel One pain behind point-based PGA is it's inconsistency with set theory and Boolean logic, given grades appear as literal bitcodes that you'd want to do Boolean logic on.

Properties5
typearchive
sourcetwitter
date2026-03-02
tagsarchive, twitter, ericlengyel
description@EricLengyel One pain behind point-based PGA is it's inconsistency with set theory and Boolean logic, given grades appear as literal bitcodes that you'd want to do Boolean logic on.

Mar 02, 20261 min read

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  • URL: https://x.com/NateMorrical/status/2028601752149434703
  • Author: Nate Morrical (@NateMorrical)
  • Posted: 2026-03-02 22:42:01

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1/ @NateMorrical

@EricLengyel

One pain behind point-based PGA is it’s inconsistency with set theory and Boolean logic, given grades appear as literal bitcodes that you’d want to do Boolean logic on. AND ∧ intersects bools and logical OR ∨ join them.

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  • I've written a new blog post called "Dual Approaches to Projective Geometric Algebra".

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