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This is nothing short of remarkable.
Does mathematics take into account the impossibility of establishing an absolute measurement for unity?

AI answer:
"In mathematics, the concept of unity refers to the number 1. The value of 1 is not dependent on any physical measurement, and it is considered to be an absolute value that is the same no matter what unit of measurement is used. In other words, the value of 1 is not affected by the impossibility of establishing an absolute measurement for unity.

It is important to note that the concept of unity in mathematics is different from the concept of unity in physics, where the concept of unity refers to the idea of a single, indivisible unit of a physical quantity, such as the unit of length or the unit of time. In physics, it is generally accepted that it is impossible to establish an absolute measurement for unity due to the limitations of our measurement tools and the inherent uncertainty in physical measurements. However, this does not affect the use of the concept of unity in mathematics."

My note:
This is an awesome answer, because it clarifies a definite difference between the field of Mathematics, and the field of Physics. Mathematics does not seem to care much about the reality part, the fact that actual measurements cannot be taken for unity. Physics, on the other hand, clearly understands that the reality is that unity cannot be measured properly. Yet when we do physics calculations, we use mathematics, which makes the assumption that unity is measurable . . . . . so in fact, we are using a system that loses accuracy, the more units we add, I would assume, meaning that as we approach infinity, the error increases dramatically.

Additionally to this, as we encounter forces on the subatomic scale, and on the megaparsec scale, one would have to necessarily assume that unity is to some degree warped, due to the nature of space.

Digging deeper . . . . If physics cannot establish a perfect measurement for unity, while mathematics does not take into consideration that unity cannot be measured physically, yet physics uses mathematics, is it true that the closer you get to infinity, the greater the error?

AI Answer:
In physics, it is generally not possible to make measurements with infinite precision. There is always some inherent uncertainty or error in any measurement, and this error can become larger as the magnitude of the quantity being measured increases. In mathematics, the concept of infinity is a useful theoretical construct that allows for the formulation of certain concepts and theorems, but it is not something that can be physically attained or measured.

However, it is important to note that the concept of infinity in mathematics is quite different from the concept of infinity in physics. In mathematics, infinity is an abstract concept that represents an unbounded or limitless quantity, while in physics, infinity is often used to describe very large quantities that are beyond the range of observation or measurement.

It is also worth noting that while it is not possible to make measurements with infinite precision, it is possible to make measurements with very high precision, and the use of advanced measurement technologies and techniques can help to reduce the uncertainty or error in physical measurements.

Archeus_Lore 7 Jan 7
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2 comments

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0

"In fact, we are using a system that loses accuracy, the more units we add, I would assume, meaning that as we approach infinity, the error increases dramatically."

One must disagree.

Actually, I did a follow-up on that question to confirm:
Digging deeper . . . . If physics cannot establish a perfect measurement for unity, while mathematics does not take into consideration that unity cannot be measured physically, yet physics uses mathematics, is it true that the closer you get to infinity, the greater the error?

AI answer:
In physics, it is generally not possible to make measurements with infinite precision. There is always some inherent uncertainty or error in any measurement, and this error can become larger as the magnitude of the quantity being measured increases. In mathematics, the concept of infinity is a useful theoretical construct that allows for the formulation of certain concepts and theorems, but it is not something that can be physically attained or measured.

However, it is important to note that the concept of infinity in mathematics is quite different from the concept of infinity in physics. In mathematics, infinity is an abstract concept that represents an unbounded or limitless quantity, while in physics, infinity is often used to describe very large quantities that are beyond the range of observation or measurement.

It is also worth noting that while it is not possible to make measurements with infinite precision, it is possible to make measurements with very high precision, and the use of advanced measurement technologies and techniques can help to reduce the uncertainty or error in physical measurements.

0

That is very interesting. Unity as a concept as opposed to a reality. I suppose it compares in some ways with the concept of the square root of minus one

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