The Jagged Reality Behind Smooth Math: Weierstrass’s Monsters, the Singularity Fetish, and Why Consciousness Cannot Be Computed
Why does modern science insist that reality is fundamentally smooth, continuous, and predictable—even when its own equations scream the exact opposite? In this episode, we unpack The Continuum is a Modeling Convenience, exposing the profound self-deception of mistaking our mathematical calculus for the raw, jagged fabric of reality.
We dissect how the mathematical foundations of physics and computer science rely on convenient fictions:
The Myth of the Smooth Continuum: Why treating the non-zero increment \(dx\) as zero is merely a modeling shorthand to make equations close, and how Karl…
The skinny
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