The Geometry of Semantic Meaning
“It is the glory of geometry that from so few principles, fetched from without, it is able to accomplish so much.” — Sir Isaac Newton
As I think about where AI is and what we are all talking about, there seems to be a gap in the literature. It isn’t the geometry of AI systems, that is not a new concept. It is its apparent link to quantum mechanics that many might have overlooked. This, I hope, will give some background on where Resonance Theory comes from as I start to share more of the actual math (don’t worry, its not too bad). I am just not sure how to introduce something this different. How do you introduce a meta-theory with math? I don’t think this has been done exactly like this before. I am learning as I go.
The mathematical parallel between quantum mechanics and human language rests on a surprisingly simple foundation: both systems use the same fundamental operation to determine relationships between their basic elements.
"The only thing I know is that I know nothing." — Socrates (attributed, via Plato)
"The search for certainty led philosophers to accept pseudo-solutions rather than sit with the discomfort of not knowing." — Hans Reichenbach
"Beneath the surface of the protective parts of trauma survivors there exists an undamaged essence." — Bessel van der Kolk
"Beneath the surface of the protective parts of trauma survivors there exists an undamaged essence." — Bessel van der Kolk
"A wise man adapts himself to circumstances, as water shapes itself to the vessel that contains it." — Chinese Proverb