The Orthogonality Paradox: We’ve Been Wrong About Space
Last Updated on November 25, 2025 by Editorial Team
Author(s): DrSwarnenduAI
Originally published on Towards AI.
The trap we don’t know we’re in
You think you understand space.
The article discusses the implications of dimensionality in understanding space and mathematics, particularly how our intuitive grasp of lower dimensions doesn’t hold true in higher dimensions, where concepts like orthogonality and the superposition principle dominate. It highlights how AI operates within these high-dimensional spaces, where ideas can coexist without conflict, challenging the long-held belief in unique factorization and inspiring a paradigm shift in both mathematics and artificial intelligence.
Read the full blog for free on Medium.
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