Notes

Chapter 12: The Principle of Computational Equivalence


Section 4: The Validity of the Principle

Continuum and cardinality Computable reals Diagonal arguments Continuous computation Initial conditions [and continuity] Constructible reals [Universality in] equations [Time compression in] ODEs Emulating discrete systems [with continuous ones] Time and gravity Human thinking [and PCE] Intermediate degrees

From Stephen Wolfram: A New Kind of Science [citation]