- May 15, 2020
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I made an offhand comment here, but now it's going to bug me. I might as well get it out of my system.
It seems to me that if science were necessarily tied to mathematics in an existential way, a scientific incompleteness theorem would simply be an extension of the mathematical one (i.e. Godel). However, that seems impossible to establish.
Maybe something based on measurement, as in physics' uncertainty principle, would be a more realistic possibility. That is, maybe some measurement in biology (etc.) would imply a biology uncertainty principle.
What do you think? Is there, maybe, an incompleteness, undecidability, or uncertainty principle for sciences other than physics?
It seems to me that if science were necessarily tied to mathematics in an existential way, a scientific incompleteness theorem would simply be an extension of the mathematical one (i.e. Godel). However, that seems impossible to establish.
Maybe something based on measurement, as in physics' uncertainty principle, would be a more realistic possibility. That is, maybe some measurement in biology (etc.) would imply a biology uncertainty principle.
What do you think? Is there, maybe, an incompleteness, undecidability, or uncertainty principle for sciences other than physics?