Remove Accessibility Remove Calculus Remove Flexibility Remove Natural Sciences
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But he had a second hypothesis too—based, he said, on the ideas of “that most ingenious gentleman, Monsieur Descartes”: that instead air consists of “flexible particles” that are “so whirled around” that “each corpuscle endeavors to beat off all others”.

Energy 88
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

But beginning a little more than a century ago there emerged the idea that one could build mathematics purely from formal axioms, without necessarily any reference to what is accessible to sensory experience. But observers like us can only “access” a certain type. And in a way our Physics Project begins from a similar place.

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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. It turns out that the chain rule of calculus in effect lets us “unravel” the operations done by successive layers in the neural net.

Computer 145