I’ve been doing this all along. The universe even in its most basic components possesses a finite number of those components.
Yes, but this is descriptive, a way of speaking about the universe for humans (and maybe other minds). It’s the map, not the territory. I’m asking for you to place “finite”, or if you prefer, “quantity” in the territory, and not as part of the map. The example I gave was “mass”. We use the word “mass” to refer to a concept that is part of our model of physics, but mass is not the
mode of description, as math or numbers or quantities would be,
but the dynamic of the territory we are modeling with math. That is, our formulas and equations break down
as physical relationships being modeled if mass is not a factor of the territory. Our map doesn’t work, not because we are language challenged, but because our conceptual model depends on that being part of the territory for the descriptive side (the map) to match our observations.
This is not the case with “quantity” or “finite”. You can completely delete those as concepts, and the
model is unaffected. It still matches the territory as well as it does observationally. Numbers and math are conceptual tools for map-making. They are not features of the territory, and this can be shown by looking at what breaks in the model if those tools are removed or changed. “One” is a tools for speaking
about the model, and indirectly the territory.
The whole examination was designed to test whether or not “one” is something that is solely fashioned by humans (such as a concept). But here you are saying that the experiment won’t work because it is a concept. As I stated in the challenge, if “one” is something solely fashioned by humans, then humans ought to be able to define it in the parameters I set.
It can’t help because it’s only a definition. A definition cannot possibly, even in principle, implicate the territory (objective reality) on its own. Succeed or fail, it would tell you precisely nothing about whether “one” was a feature of the territory or not. You will have to test the territory – and since we don’t have an objective frame of reference ourselves, we use the next best thing available, models that perform empirically. And by this measure, actually applying “one” or “inifinite” to our models that perform, we can see that they non-objects in the model. They are meta-conceptual elements for talking about and describing the model. They are not implicated in the model itself. Again, if that’s confusing, consider how ‘mass’ is implicated the model itself, by contrast with “one” or “finite”.
Physics formulas presuppose math. Math presupposes numbers. Every number presupposes the existence of “one.”
Physics
models and physics
concepts presuppose language and math, for sure. But here again, the red flag comes out for confusing map and territory. Physics formulas are NOT nature itself. Physics formulas are the maps! Physics as the territory – the natural world – can’t be bothered. Outside of minds, math and numbers are nothings, and CANNOT BE FOUND OR IMPLICATED as part of the territory, as extra-mental.
What was wrong with what I have been saying about particles existing in a finite amount?
Maybe it helps to attach it to your use of “physics formulas”, above. “Finite” is a construct we deploy in a formula, or a proposition for our concepts, our model. It’s a way to classify, or think about nature. It’s not an intrinsic property of any part of nature itself, outside of our minds.
Your suggestion that the “universe having finite elements” is an example misunderstands the request. No physics model, or any model that performs empirically like that implicates “finite”. That’s not to say we cannot find accurate and useful descriptions of the universe that employ the concept “finite”. We can. But that doesn’t demonstrate what is being requested, that “finite” obtains as an intrinsic aspect of nature itself, in the way “mass” or “spin” does for a particle. “Mass” is descriptive, but it is descriptive of a fundamental, intrinsic aspect of nature, if our physics and empirical methods are at all correct.
“Finite” does not obtain in that way, and is non-sensical in that context. If we place minds in the mix, thinking
about nature, “finite” makes sense. But that just fits with “concepts are mental constructs only”. “Finite” as an intrinsic, fundamental dynamic in nature, a part of what we capture and model in our physics frameworks, rather than
how we speak about it, is a non-starter.
If we say “mass”, the physical dynamic we believe we are modeling in physics, is a nothing, our model breaks. Our observations can’t be reconciled with our models. We lose *f=ma, *Newton’s Second Law of Motion. The problem is NOT that we now have a language difficulty, which is all the nullification of “finite” would entail. We have a missing dynamic in the physical principles themselves. That is why we suppose that “mass” is a fundamental aspect of objective reality, a feature of matter, totally apart from minds and concepts.
If “finite” is nullified, considered a nothing, we do not lose
f=ma, or anything like it. All we lose is handy tools for talking
about our models. We don’t lose anything fundamental to the model, and by isomorphism the territory itself (if reality is real and empirical observation reflects it), if “finite” is dropped from the conceptual toolkit.
-TS