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Kiril

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Hello everyone,

My general goal is to understand why and how certain physical formulas came to be written, a specific way and not another - so as to judge their correspondence with reality. My specific interest in this thread is to understand the link between a formula(calculated or complex quantities) - for example G/momentum/energy(kinetic) and reality; as contrasted with measured quantities - length, weight, time - where the link is immediate and obvious(or where a single unit is involved).

What I understand by the term quantity or measure-of, in physics:

The number of times something(A) can be divided, by a thing/object(B) possessing the attribute/property(of interest) of (A) to a lesser extent.

-In the case of length, we are dealing with the directly perceivable attribute of length and we can divide this by a stick or our fingers(just imagine 12 kirilfingers :) ) - also on the perceptual level.

-In the case of weight, we are dealing with the physical experience of mass, we divide it by anything, a rock, car(that would be too large), etc also possessing mass.

-In the case of time we are measuring our perception of difference(change eg. seasons) and we divide it by specific(regular) changes, like the sun rising(night and day).

In all these cases we are dealing with the directly perceivable and therefore the axiomatic - therefore we can be safe in our certainty that we are quantifying real quantities via a rational method.

But when we have calculated, so called quantities, like, F=ma, W=Fd let alone G - I can't apply the definition above - by what thing, possessing what attribute should I divide by, and what? In other words, I can't reduce them back to sensible information; I cannot deny that somehow these calculation apply to reality, but I can't justify the link.

With regard to concept formation it is possible to concretize abstract concepts like "justice", by checking the referents of the hierarchy of sub-concepts it subsumes -- I don't know how to do this for physical formulas which describe quantities? Are there any very fundamental resources which describe the theory of how and why, starting from immediate perception, men moved from simple measurements to complex-measurements(multiple units)?

Thanks in advance, I will greatly appreciate your understanding that its difficult for my to describe the problem and therefore difficult to keep it short.

Kiril

The origin of the idea of modern form of formulas or quantities

My general goal is to understand why and how certain physical formulas came to be written, a specific way and not another - so as to judge their correspondence with reality. My specific interest in this thread is to understand the link between a formula(calculated or complex quantities) - for example G/momentum/energy(kinetic) and reality; as contrasted with measured quantities - length, weight, time - where the link is immediate and obvious(or where a single unit is involved).

What I understand by the term quantity or measure-of, in physics:

The number of times something(A) can be divided, by a thing/object(B) possessing the attribute/property(of interest) of (A) to a lesser extent.

-In the case of length, we are dealing with the directly perceivable attribute of length and we can divide this by a stick or our fingers(just imagine 12 kirilfingers :) ) - also on the perceptual level.

-In the case of weight, we are dealing with the physical experience of mass, we divide it by anything, a rock, car(that would be too large), etc also possessing mass.

-In the case of time we are measuring our perception of difference(change eg. seasons) and we divide it by specific(regular) changes, like the sun rising(night and day).

In all these cases we are dealing with the directly perceivable and therefore the axiomatic - therefore we can be safe in our certainty that we are quantifying real quantities via a rational method.

But when we have calculated, so called quantities, like, F=ma, W=Fd let alone G - I can't apply the definition above - by what thing, possessing what attribute should I divide by, and what? In other words, I can't reduce them back to sensible information; I cannot deny that somehow these calculation apply to reality, but I can't justify the link.

With regard to concept formation it is possible to concretize abstract concepts like "justice", by checking the referents of the hierarchy of sub-concepts it subsumes -- I don't know how to do this for physical formulas which describe quantities? Are there any very fundamental resources which describe the theory of how and why, starting from immediate perception, men moved from simple measurements to complex-measurements(multiple units)?

Thanks in advance, I will greatly appreciate your understanding that its difficult for my to describe the problem and therefore difficult to keep it short.

Kiril

The origin of the idea of modern form of formulas or quantities

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