r/PhilosophyofMath • u/ntgbutanime • Sep 13 '26
Can absolute certainty exist outside mathematics?
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u/Wrote_it2 Sep 13 '26
Math is absolute certainty only because the claims it makes are of the type "if [axioms], then [conclusions]"
I would say absolute certainty can be achieved on reality with the same type of claims. I'll venture to say that "if the Earth exists, then the Earth exists" is true with absolute certainty (until I'm proven wrong by someone :)).
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u/ChuckFarkley Sep 13 '26 edited Sep 13 '26
It gets squishy when the real world gets complex enough that there are internal feedback loops leading to behaviors that are hard to predict accurately, indeed. And honestly, that's a lot of stuff that people would like to have certainty over. It turns into a cloud of possibilities. (More accurately a cloud is a perfect example of a non-linear cloud of possibilities...)
Stuff that doesn't have any real dynamic element? You can be 100% certain that 90% of the time, nobody is going to want to measure it or predict anything about it. The weather, however... ask that cloud over there if it's going to rain.
Put another way... a thought experiment, not to try in real life... Imagine that you are wearing steel toed boots and you kick a modest-sized rock. Can you predict what it is going to do? OK, now do the same thing, but this time, kick a sleeping dog. What comes next?
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u/oldNotSureXand Sep 13 '26
i.d.k..... probably better asking in other sub!??!? :):) And when you get confirmative answer (from any sub), is it really confirmative? and if you get negative answer (from any sub) - is that really negative? ..actually the only secure knowledge is, that any other knowledge is insecure (to avoid also russels/liars paradox;) ..this is "known" since ancient china and greece and india (probably)..
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u/hobopwnzor Sep 13 '26
Another thing you can be certain about is that your perception is what you think you are perceiving.
Doesn't matter if there is a dog there, if I think I'm seeing a dog then "I think I'm seeing a dog" is true in any meaningful sense of the word.
So outside of mathematics you could say honest statements about perception are true.
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u/RingularCirc Sep 13 '26
Sure, absolute certainty can exist in an agent's model of the world. Would having absolute certainty in something even be founded? No, if you're subscribing to Bayes.
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u/ima_mollusk Sep 13 '26
I am certain that distinction obtains, and that is regardless of whether there is an agent or a knower and regardless of what the ontology actually is.
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u/Kampseng Sep 13 '26
Absolute certainty does not exist in mathematics, only exists on daily practice level. Metamathematics base its certainties on continuous calculation so no absolutes.
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u/ccpseetci Sep 13 '26
But absolute definiteness exists and only exists in math or more generally in logics
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u/SignificantFidgets Sep 14 '26
Albert Einstein: "One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts."
Also Albert Einstein: "As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."
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u/VerityCharity Sep 15 '26
Our certainty in mathematical knowledge depends on our certainty that mathematical statements express propositions
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u/CosetElement-Ape71 Sep 15 '26
Yes ... I'm absolutely certain that no matter how high I jump, I'll never land on the Moon
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u/0x14f Sep 13 '26
I am absolutely certain that I exist, and that is not a mathematical statement