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Originally Posted by modest
No need to correct him. Ross isn’t talking about interpreting math. The “conceptual interpretation” refers to the theory or model.
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Judging from the quote you pasted, I believe he is saying that "just because the math works, it doesn't mean it captures how reality is." He went on to say
"each theory contains a conceptual interpretation that assigns meaning to its mathematical expressions". That is somewhat ambiguous statement; it could be interpreted as claiming that the conceptual interpretation suddenly does capture how reality is. And that would obviously not be a justified assertion at all. That is why I pointed out;
"The mathematical form of each theory can be "conceptually interpreted" in a multitude of different ways"
In this context it is completely meaningless what was in the mind of the person who formed the theory in the first place, because his view of reality is also a semantical model, just like everybody else's. The math describes the behaviour of "semantically" defined entities.
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Yes, only one ontology of space and time are correct to our universe. That, at least, sounds sensible to me.
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Well, here I think I need to probe little bit to see where you stand.
Even if there is one "correct" way to define time and space - i.e. correct in that it perfectly coincides with the way time and space are metaphysically - do you think we would be able to find out? Considering that each definition contains a lot of unobservable features. (Note here that I include the ontological assumptions as part of our "definition of time and space")
Do you think it can be ontologically valid to identify some patterns ("objects") of reality as "ontologically same" from one moment to the next? (any definition of space requires you to do this for many patterns)
If it can be valid, do you think we could find out whether our definitions happen to coincide with some "ontological identity of things"?
You may be still using the word "ontology" differently than I do, and I may be reading you wrong, but it does seem to me like there are quite a few naive realistic assumptions in your thinking. So I thought I should remind you that my perspective on this is that the
worldview - where the definitions for time & space exist - is something that is used to interpret a "data stream". I.e. the data coming from sensory organs is not metaphysically pictures and sounds; it's data to be interpreted as pictures and sounds (according to what the meaning of our sensory data is believed to be). Any aspect of that interpretation that you take as ontologically real amounts to a belief.
Hence any definition of space has to do with how some patterns have been identified in that stream. Whatever "space" means is largely a semantical issue.
As an interesting side note, all human communication includes a component of ambiguity exactly because of this reason; we all interpret each others according to our very own worldview... ...human communication becomes very tricky when we don't share the same paradigms. We are often so convinced of the validity of our own worldview that we don't think it's even possible to interpret the other person intelligibly... Like Kuhn said, one paradigm cannot be investigated from another.
Additionally I should mention that DD's epistemological analysis has to do with that same perspective; that we do not know anything about reality, but somehow we infer the meaning from completely unknown data. The investigation of "how that data can be modelled" has to do with certain symmetries that must exist in our view on that data exactly because we do not know what is its "ontological origin", so to speak. Certain interesting requirements for our models of time and space arise.
Admittedly this is somewhat tricky issue to communicate clearly when the other party is using different terminology and looks at reality somewhat differently. It's kind of like trying to explain to someone pre-Newton how a spaceship from Earth to Mars cannot really be said to "fly through space", apart from our conception of the situation. Certainly that person would take that assertion as clearly invalid, since he can clearly see the spaceship flying through space... ...the point is to concentrate on what semantical matters there exists. Like, is it Mars flying through space rather than the spaceship? And then to realize just what do we mean by "space" and what does it mean to "fly through it" etc... To see just to what extent human definitions give rise to our conception of reality.
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Look at the spactime separation formula. There is already meaning there. dS and dT already have a definition in that formula - you can't just interpret it any way you like.
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You can make a multitude of ontological intepretations that conform to the predictable observations, because here the ontological interpretations are the assumptions regarding what happens behind our observations. Just like is the case with the different interpretations of QM.
The assumption that reality is a static spacetime block is just one interpretation.
Another would be that reality does not exist in any definite "now-state" before it is being observed.
Or one could imagine each inertial frame is part of a multiverse, i.e. we switch to a different "space" (where the "now"-states really exist differently from each others)
I would imagine, that in the middle of assumptions as far fetched as any of the above, one would be somewhat motivated to investigate the possibility that relativistic time relationships arise from our ways of defining reality rather than from these ontological options. I.e. take a look at that epistemological analysis.
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The fact that different frames measure a different frequency for the same source of light is key to relativity. Frequency is per unit time and time is relative. This shows how Einstein derived gravitational redshift which demonstrates. You are confusing variables with laws of physics. All laws of physics are postulated to be the same in all inertial reference frames - not just the speed of light.
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I said it is a semantical issue what is considered a variable and what is considered "law of physics". We created the definitions that lead us to such and such laws for those semantically defined entities. I think your comment "you are confusing variables with laws of physics" just shows that you assume the "laws of physics" and "parameters" are ontologically real, embedded somewhere in metaphysical reality rather looking at them as "tools of predicting reality".
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Despite what you said, I can prove time dilation is more than "just mental construction" - of course. Something that's just a mental construction has no basis of fact in reality. Unless you're arguing from an entirely phenomenalistic point of view then time dilation has real effects. A person on a mountain ages faster.
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Do you really think I was claiming that time dilation does not happen? I was just saying that in order for us to understand something as "time dilation", we had to define quite a few things in our worldview that way, and that there are always many possible paradigms that we could use the understand the same situation. Both would be just as valid predictionwise, and neither can be defended to be more real ontologically.
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Relativity is not a model. I normally wouldn't correct that, but it's important in the context of this discussion.
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Interesting; I would have said the exact opposite for the exact same reason; in the context of this discussion is important to understand just how relativity is a model. Perhaps I don't understand how you mean your assertion, or perhaps you have a naive realistic view on relativity. Well, in any case it would be interesting to know whether you abide to the "static spacetime block" view of relativity, or whether you have even thought about what reality might look like behind the math?
Perhaps it is helpful to know that I am coming at this largely from the angle of General Semantics;
General semantics - Wikipedia, the free encyclopedia
Also I noticed the Wikipedia page for "Metaphysics" includes "Space and time" section which includes metaphysical questions of space that just reveal some of those semantical aspects regarding how we understand time and space;
Metaphysics - Wikipedia, the free encyclopedia
I skipped few things because I didn't think they were very relevant. If you want a comment on something I've skipped, just ask.
-Anssi