Originally posted by Mentat
An infinite line is composed of "finite stuff". It's composed of infinite spaces (each of which are finite). Besides, there is no empircal or logical reason to assume that all physical things must be finite.
I think there is reason. Why do you need finite "spaces" to construct a line? Is point at position Pi finite?
When I said "fundamentalist" I meant someone who believes that all theories should describe things at the smallest level. The actual word is "reductionist", and that's the kind of theory that QM (for example) is. However, there are other kinds of theory, such as Relativity (which - I think - is considered a holositic theory).
No, then I'm not "(dogmatic) reductionist". I believe in Newton, I believe in GR, they all model, approximate reality to a reasonable degree of accuracy, within the limits/range of applicability in the hierarchy of abstractions. Theory that would describe all things at smallest levels would be needless for casual application. But it would be closest to understanding what is really out there. All else is just behavioural models that do not touch meanings of their components. Such meaning is given them by man. And it may change every time we find new level of abstraction deeper.
For eg. concept of energy, concept of movement, inertia, mass, vacuum, all may disappear eventually. But there are some concepts that cannot disappear at any level of abstraction. They are known, and they are fundamental.
Then why in the world do you disagree that "thoughts" exist?
Because I define "exist" as requirement to interact, physically.
Now remember, I'm not saying that all of the things that we imagine can exist physically. I'm saying that they already exist, as concepts. I'm saying that a concept exists in exactly the same way as any other compound, caused by the interaction of subatomic particles.
Ok, maybe we can settle, if we define this:
- To exist physically means to interact with physical entity.
- To exist imaginarily means to interact with imaginary entity.
- Physical entity and imaginary entity cannot interact. They are incompatible.
- Imaginary entities at different levels of abstraction cannot interact.
Would this clarify my position? I'm interested in physical existence. It necessarily underlies any imaginary concept. Imaginary concept without underlying physical existence is not real. If you like, we may talk about "inner space", but keep it separate from universe.
Concept of triangle cannot interact with concept of water.
Concept of size cannot interact with concept of taste.
Concept of point cannot interact with concept of quantum.
Concept of thought cannot interact with neuron. They are at different levels of abstraction and thus incompatible.
I think that even imaginary thoughts at same level can't really interact, because there are only that many ways to communicate your thoughts. Intellects without common perception of world cannot communicate.
Concept of quantum may BEHAVE like concept of point at certain degree of approximation (formal model), but that does not mean that quantum IS point. Assertion that imaginary 1D line is interacting with physical quantums is thus flawed to even start with, for eg. To interact, physical entity must have more properties than definition of 1D line can possibly offer. Fluently such line gets properties like tension, intensity, vibration, volume, etc..
Afaik real theoretics have long ago dropped idea of equating their concepts with reality, instead, they just say that this set of equations best approximates what can be tested by experiment. Assigning physical meaning to these equations is just meant to tease our imagination (which is needed to generate new ideas).
At times, its extremely difficult to see whether concepts are compatible. Thats the art and area where breakthoughs happen - to see ingredients and order them in right hierarchy from most fundamental to most abstract. Most of the time, we are chasing our tail.
Some say that we already long ago had all required ingredients to form TOE, its just that we can't put them together. It will most probably require bend of our beliefs, and that's the most difficult one. "Its not the spoon that you should try to bend, Neo, its you"
As laymen we can't speak formally, shooting equations at each other, thus we are limited to talk at conceptual levels, and its too easy to get into crazy logical flaws. Its even more difficult to avoid than for Phds who can check their reasoning with math (Phds might say: impossible), so we can't really avoid keeping track of what is more fundamental than other. Phds can avoid that, because for them its just equation.
I didn't say it consisted of 0d points.
I assumed that. What is definition of line then? Would you construct 3D objects with such lines? How about 3D "line" with finite quants of finite 3D size? how about forgetting that line abstraction and talk about quants?