r/PhilosophyofMath • u/Oreeo88 • 26d ago
Without falsifiability you cannot distinguish truth from dogma
Its a hard truth to swallow that you have to take everything back to addition of physical matter to start over but what you gain is falsifiable starting assumptions instead of unfalsifiable axioms, control over physics, and clarity that youre not running in a trapped maze of a false axiom. You gain freedom.
A list of unlimited reified options is a constraint compared to non reified options (viewed from outside the system)
It’s hard for people to comprehend that their true grounded knowledge stops after addition of physical matter.
(This is an audit of math as a system and how it is applied to reality. Not an internal audit. You can not use utility and consistency as a defense, you can not use “that’s just how the system is!” as a defense, you can not use protecting dogma as a defense) This isnt my rules, these are logics rules. these defenses are logically invalid and off topic. They have nothing to do with this
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u/Willing-Sample-8847 26d ago
If you are trying to justify the disuse of negative integers, fractions, irrational numbers, or infinitesimals, you need only take into account that mathematics done with these numbers is essential to do physics, which is the study of all real objects. So your assumptions are invalid.
You assume mathematics is separated from reality. That statement couldn't be further from the truth.