Travis B. wrote: ↑Sat May 02, 2026 10:36 am
rotting bones wrote: ↑Sat May 02, 2026 9:49 am
Travis B. wrote: ↑Sat May 02, 2026 9:41 am
Math is an
abstraction which has an identity and rules independent of the physical substrate; things like 2 + 2 = 4 are not tied to any particular physical
representation, whether it is electric charges and currents or grains of sand or thoughts in our heads.
Generalizations over physical laws apply to some realities and don't apply to others. For example, 2+2=4 applies to apples but not to an uncountably turbulent surface of a fluid.
This is different from physical substates for math as an abstraction -- I was referring to doing math with a computer, by drawing in sand, or in one's head.
sure, same happens with doom or the game of life ran on different computers, or with the same book written in different kinds of paper. i think that doesn't mean that doom or twilight are sort of real-immaterial-things. the fact that a thing happens on different media doesn't make us dualist... well, it doesn't make me a dualist, anyway.
I'm a dualist in the sense that math is independent of matter, and a monist in the sense that I do not think that math can exist without a physical substrate for it to exist upon. (E.g. if the universe ceased to exist tomorrow, math would cease to exist with it.)
but like, would math exist without any mathmaking entities? like in the mindless universe zompist posited a bit ago?
zompist wrote: ↑Sat May 02, 2026 5:09 pmWe've gotten past many of the disagreements or pitfalls, but I can't pass by this one. I'm not sure you really want to take a position that's starkly dualist. "Truth" is something that only pops into existence once sentience does?
I do want to take it, i think: but how is it dualistic? it seems to me starkly monistic, if anything: truth is a feature of utterances, which are things certain material entities do, so it only exists if there are speakers who utter. same with thoughts, and writings, and other such things. scholarly consensus is another thing like holy, an emergent phenomenon that pops up when there are scholars that talk to each other, but it's different from truth yeah.
My own bold position is that math and logic are things that are true of any possible world. If we've done them right, they're true by definition... e.g. you define 4 as the thing that 2 + 2 equals. We can imagine a world where matter is not quantized, but not one where 2 + 2 = 1,471. Some philosophers would disagree, but then I think they're fooling themselves. You can't use logic to reason about a world where logic doesn't apply.
I broadly agree, with the caveat that i dare not venture any meaningful guess as to what worlds are possible or which aren't... who would even know such a thing? a worldsmith? a real one i mean, not us fictioneers. in another way i'm more conservative: maybe some math is not true by definition but by virtue of something else, as i suspect with geometry, and maybe other math is true on account of something else. There's a loooot of math, after all, but with 2 + 2 sure, 1.471 is simply not what we mean by 2+2.
The problem with your stated position is that any statement about a mindless universe would be impossible. If "The are stars and planets and trees and monkeys" has no truth value, then we can say nothing about such a world... including the assertion that we can say nothing about it.
well in a mindless universe there would be no one to make statements, so there wouldn't be any inside of it. if however we could observe a mindless universe, though -let us table the matter of whether such a universe would indeed by a different universe, or mindless- then sure, *we* could make statements about that universe, and *those* statements would either be true, false, or silly, but the mindless universe itself would contain no statements, and so would not contain any true statements itself... those statements would be, i reckon, contained in ours.
Or to put it another way: you seem to think that society decides that a thing is true, just as society decides that it's legal or valuable or holy. I'd put it to you that that is absolutely not how truth works; it is not a societal consensus, a proposition held by the smartest scholars, an institutional declaration, a contingent linguistic fact, or a strongly held belief. We can hope that those things approach truth, but they very obviously differ from it.
i don't think that, no. very much yes we can all be mistaken, and we probably are! hell, It could be the fact that, at least to some degree, all or most statements are false, or at least incomplete. okay maybe not 2+2, but certainly a lot of our past beliefs turned out to be wrong, some less wrong than others: like, sure, miasma theory of disease is false, but it's less false than, say, demon theory of disease. and it's more false than germ theory, which is itself more wrong than, well, a better statement like "some diseases are caused by bad air, like emphisema, some by germs like cholera, and some by problems within the biology of the orgasnism itself like cancer, no direct pathogen" or something like that. society doesn't decide what's true... okay, sometimes it does, like, when we say in england people speak english that's true by virtue of social facts, but otherwise, society doesn't make 2+2!=7 a true statement... like, it's not true on account of convention or consensus. what i do believe is that 2+2=!7 *is* a statement, and so it can only be uttered by lato sensu people, and without utterers there's no statement and thus, there's nothing that can be true or false, so there can't be truths.
so formally, we can say truths require society, but society does not make truths truths, it just makes truths possible. this isn't that weird, said like that: for example cancer requires water to exist, but water does not cause cancer, or make cancer cancer.
edit: so what's truth and how does it work? what do i know, i don't have any good solutions to the field of epistemology. yes, i am sort of philosophically just outsourcing all the work that, for the dualist, real-abstractions-as-such, platonic forms, do