This essay of Girard's is a rare thing of beauty. It is sheer genius. Bold, sweeping, profound, and yet incredibly accessible and coherent, not just the scattered gnomic gunshots typical of Girard's later writings, which demand the reader to pay for their brilliance with painstaking mathematical and philosophical gap-filling. I plan to write a longer post about this text in the near future, and about the broader programme for a Geometry of Interaction in general, but for now, I ask you to read this beautiful, brilliant essay:
Girard - Towards a Geometry of Interaction
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