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Notes for

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

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From Stephen Wolfram: A New Kind of Science [citation] Previous section-----Next section