NOTICE
- DO NOT TRUST THE FOLLOWING
OBSERVATIONS
- branch pattern of infinite length is stochastic process
- so stochastic process is topology
- topology have its shape, order type
- order types are ordinals
- ordinals made metamathematical (with sufficiently strong reflection principle) are forcing notions
- Lebesgue used order types to define integration
- set theorists related enumeration of integration pattern and determinacy
WHAT WE NEED TO BELIEVE IN COMPLETENESS OF PROBABILITY?
- just an assumption saying unmeasurable set would not appear
- regularity assumptions on time (transversality, no ponzi, ..)
- require smoothness of time and economic spacetime hypermanifold
- set-theoretic axioms (stronger reflection principle)
- meta set-theoretic axiom sufficient to proof Con(ZF+AD)
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