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Dimension Theory

Dimension Theory

Science

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Originally posted by @apathist
The normal and generally accepted every-day meaning of the term 'dimension' is mathematical!

No, very obviously not. What we, including I and laypeople, normally mean by it is PHYSICAL although it obvious has mathematical aspects. I don't know of a single person that gives the word 'dimension' a pure maths meaning independent of the concept of a 'dimension' physically existing out there in the world so clearly what people mean by 'dimension' IS something physical.
I don't understand why you feel the need to give a word a totally none standard and therefore invalid meaning.
But we don't need math to recognize the spatial dimensions.

Agreed; but that directly logically contradicts what you claim; you say " 'dimension' is mathematical " as in ONLY mathematical and NOT physical. If that was true, than we couldn't recognize ANY dimension without maths; and yet we CLEARLY do just that even if you have total ignorance of maths and don't know the first thing about maths. You make no sense.

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Originally posted by @apathist
I've coded. Keep tri-ing, and you get a circle.
That's it. A circle is just a lardy triangle and vice versa.

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Originally posted by @humy
I don't know of a single person that gives the word 'dimension' a pure maths meaning independent of the concept of a 'dimension' physically existing out there in the world so clearly what people mean by 'dimension' IS something physical.
Actually I would say that its more complicated than that.
Firstly, purely mathematical dimensions, do, of course, exist. The Cartesian plane for example has two dimensions. Interestingly there are different ways to define them. Polar coordinates for example are perfectly valid dimensions on the Cartesian plane.

In the physical world, dimensionality (ie 3 space and one time dimension) are a real facts of existence, but the dimensions individually are not physical things at all and contrary to apathists claim CANNOT be observed. We traditionally create three orthogonal linear dimensions in an arbitrary position, but any rotation of that is perfectly valid, as is, a totally different set such as polar coordinates in one plane coupled with a linear scale orthogonal to it. Dimensions are a mathematical abstraction of real world facts.

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Originally posted by @apathist
Remember, from my view, what time is. Remember? Certainly it is no block towards free movement through 3-d space.
It is certainly a block towards free movement through free space in the here and now.

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Originally posted by @apathist
Your questions, have you never met tense?
What do you mean? Met tense?

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Originally posted by @twhitehead
Actually I would say that its more complicated than that.
Firstly, purely mathematical dimensions, do, of course, exist. The Cartesian plane for example has two dimensions. Interestingly there are different ways to define them. Polar coordinates for example are perfectly valid dimensions on the Cartesian plane.

In the physical world, dimensionality ( ...[text shortened]... a linear scale orthogonal to it. Dimensions are a mathematical abstraction of real world facts.
****XXX abstract that!

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Originally posted by @apathist
Actually, only now exists. Past and future do not. Time is a math dimension, and not a physical reality dimension.
If only now exists, then how you know that you have been born?
How do you plan for the future if future doesn't exit?

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Originally posted by @apathist
Spacetime is a math term. Minkowski space is a math term. Reality has three dimensions.

Reality is not math, I know that is hard to understand.
The predictions of relativity have been put to the test thoroughly and describe the measurements well. Reality cannot be accurately described using only three spatial dimensions plus an independent temporal dimension.

"Spacetime" is a physical concept.


Originally posted by @kazetnagorra
The predictions of relativity have been put to the test thoroughly and describe the measurements well. Reality cannot be accurately described using only three spatial dimensions plus an independent temporal dimension.

"Spacetime" is a physical concept.
And physical concepts are mental.

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Originally posted by @christopher-albon
And physical concepts are mental.
if they are sound physical concepts then they should correspond to something physical.


Originally posted by @humy
if they are sound physical concepts then they should correspond to something physical.
OK. So the physical world is a metaphor, agreed.

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Originally posted by @humy
No, very obviously not. ...
As a noun: length, area or volume. Look up the definitions. Obviously math.

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Originally posted by @fabianfnas
What do you mean? Met tense?
You use it all the time.

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Originally posted by @twhitehead
It is certainly a block towards free movement through free space in the here and now.
Is not, and you know this. You're barking up the wrong tree there, hound dog.


Originally posted by @kazetnagorra
The predictions of relativity have been put to the test thoroughly and describe the measurements well. Reality cannot be accurately described using only three spatial dimensions plus an independent temporal dimension.

"Spacetime" is a physical concept.
Relativity works well, as we'd expect from a tested math concept. Time is merely a measurement of change. There are no time-atoms. Time has no physical existence.

Spacetime is a mathematical conception. I'm not denigrating it, the spacetime concept is super useful. Remember that the layman's explanation or visualization of spacetime (the lies we tell children) requires an informal fallacy to work.