mathematics 5
- The weak link in autoformalizing mathematics is being sure the formal version captures what the mathematician meant to express.
- At the core of pure mathematics is the human imagination that guides which questions to ask.
Stephen Wolfram
Founder and CEO of Wolfram Research, creator of Mathematica and Wolfram|Alpha, and author of A New Kind of Science.
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What Stephen Wolfram says most about
physics 3
- Biology has computational irreducibility at its core, so biological phenomena depend inevitably on history.
- Space is fundamentally a discrete structure rather than a continuum.
simplicity 3
- A program's simplicity of structure does not limit how sophisticated the computation it performs can be.
- Even very simple, easily enumerated computer programs commonly produce extremely rich and complex behavior.
evolutionary biology 2
- Biology's endless forms arise inevitably from adaptive evolution interacting with computational irreducibility, not from natural selection alone.
- Adaptive evolution tends to achieve even a simple, fixed objective through complicated behavior.
LLMs 2
- Large language models are broad and impressive but not precise, and are not fundamentally about deep computation.
- Most future growth in large language models' practical value will come from how they are harnessed and connected to other tools, not from the core models alone.