Post #35. I guess we're into discussing objections to my definitions.
Then why bring up the brain at all?
When a misunderstanding occurs, I try not to assume too much. I would prefer you clarify what you said rather than me guess. But you appeared to invert the statement. It is not that speed refers to the brain, but that the idea in the brain refers to the physical manifestation of speed.
As you stated it, I don't know what you're talking about, so I can't reply.
What model, specifically?
Any model that depends upon the concept of a constant speed of light.
And again, you're confusing observations with the models that explain and predict those observations.
Did you not state that we can't say anything about the thing itself without referring to our human ideas about it?
Sure, please give me a falsifiable model which changes the observation that I'm 5'10".
That is not the example I offered. I offered a different measure of distance. Briefly, if one uses affine geometry coupled with Grossman & Katz's definition of exponential arithmetic, one defines "distance" in a manner that is incommensurable with the standard definition - a good indication that one is defining something in a unique way.
But if you're going to take the additional step of asking me to falsify that you are 5'10", let me first explain how falsification happens. A model makes a prediction and specifies a test that will confirm/deny the prediction. If the prediction is denied, the model is falsified.
The statement that you are 5'10" is not a model. It is an application of a model. What, then, is the model? The model is to use the Euclidean concept of a point and to associate those points with a number line based on standard arithmetic. The distance, then, is the difference between the numbers associated with the points. The model is further associated with something material by defining units based on a physical reference. The foot & inch are currently based on the meter, which is in turn defined as the distance traveled by light in a given time. A further aspect of the model, then, is that the physical reference is unchanging (i.e. the speed of light is constant).
How can I falsify that? I can't. The only possible test I could suggest is that the speed of light isn't constant within some agreed upon accuracy. But this leads to something Nagel pointed out. The fact is, past physical references have been shown to be inconstant ... defining "foot" as the length of the king's foot, etc. That didn't, however, lead to a rejection of the model. People just changed the physical reference. It then becomes a semantic argument whether the model was falsified and replaced with a new model or whether it was a correction of the application. In this case I don't really care what people want to call it; I tend to think of falsification in the larger context, e.g. Einstein vs. Newton.
Regardless, the question remains, which model of distance should be used? The standard one, the affine one I offered, or the nominalist one? Shrug. There's no way to falsify any of those, so it just becomes a matter of parsimony. Likewise, do planets revolve around the sun or the earth? Shrug. Picking the "center" is arbitrary, so let's pick the sun because the math is simpler. Is the speed of light constant or does the cesium atom change behavior in different reference frames? (FYI, cesium is the basis for the definition of "second", and, thereby, the definition of "meter"). Shrug. Neither idea can be falsified, but, again, picking light to be "constant" is more parsimonious.
I'm not seeing the relevance here. Can you give an example of something which is measured "directly", in the context you're using it here? If not, then whatever distinction you're making is irrelevant in the long run, since observation means "indirect observation" by the way you're defining the words.
All measurement depends on a model. I wasn't trying to make a distinction, but supporting that statement with an example.
But as others have said, what difference does any of this make? It's all interesting trivia but I have no idea how it fits in with your previous ideas, such as the idea that if numbers exist in human cognition that we can't know anything.
That was not my position. It was a question: Is this where you guys are going? To saying we can't know anything? The general answer was no, that is an extreme and unreasonable skepticism.
If I count the number of pennies in a jar every hour on the hour for a week in a row, and the count doesn't change, what about that set of objects is immaterial in your model? And if someone takes a penny away, does that make it material again? Seems like a very strange definition to me, but we'll go with it and see where it ends up.
This is the same as the pen example. I've answered this.
I guess we can never know if something is material or not by your definition.
The object you've repeatedly measured a constant property of is outside the brain. I think I've mentioned this before.
If you want to go to the "we can never know" thing, there's not much I can do. As I said earlier, I would just have to conclude that I've failed to communicate my position.
We also seem to be in an endless spin on this "thing vs. the idea of the thing" problem, and many of your questions stem from that. In reply to the specific quote above, the object (light) is an example of constant, but is not itself a manifestation of the thing called "constant". When I line up my 3 ducks, I give an example of "3" but the set of ducks is not itself "3". If so, then a line of cats could never be 3 cats because they're not ducks. So, the idea of constant cannot refer to a material thing called "constant". It is a reference to the immaterial.