Tag: continuity
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Portfolio ·
Floor 1 — Boole & Frege: When Truth Became Binary
The 19th century mathematicians who decided that reasoning was a matter of 1s and 0s — and the continuous logic they walked right past.
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Portfolio ·
Floor 2 — Turing: The Tape That Forgot It Was Continuous
Turing's machine is the most influential thought experiment of the 20th century. Its discrete tape was a modelling convenience that became a metaphysical commitment.
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Portfolio ·
Floor 3 — McCulloch & Pitts: The Neuron Made Into a Gate
In 1943, two men wrote down a mathematics of the neuron. They chose the threshold. The biology was already shouting that the neuron was continuous — and they heard it, and chose the threshold anyway.
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Portfolio ·
Floor 4 — Von Neumann: The Architecture That Chose the Bus
In 1945, a brilliant Hungarian drafted a report that would shape every computer built since. He knew he was compromising. He said so. Nobody listened to that part.
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Portfolio ·
Floor 5 — Shannon: Information as a Bit, and the Geometry We Forgot to Name
Claude Shannon gave us a mathematics of information that is, strictly speaking, continuous. We simplified it into bits and built an industry. The continuous reading is still sitting there, in the same paper, unused.
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Portfolio ·
Floor 9 — Word2Vec: The Field Touches the Manifold and Flinches
In 2013, language became geometric for the first time at industrial scale. The vectors were real. The manifold under them was never quite named.
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Portfolio ·
Floor 10 — Transformers: The Brilliant Architecture With the Wrong Output
The most impressive machine learning architecture ever built has a continuous heart and a one-hot mouth. Nothing wrong with the heart.
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Portfolio ·
Floor 12 — You Are Here, and the Other Path Is Still Open
The top of the tower. Where the climb ends and the question begins. The door is held open; it is your turn to decide what walks through it.