Pi is a lie?

[Save The Dragons]

If you cut a pie into 3rds, you have 1/3 of a pie, but you also have 0.33333... of a pie. Is it a rational measurement or an irrational one?

[Annadog40]

Rational. Since it has a definitive pattern.

[eagerSnake]

Second, you can't measure anything exactly. Measuring instruments have limited precision. So any measurement you're going to make is really just a rational approximation to whatever the real length is. It says nothing about whether the distance itself is rational or irrational.

[eagerSnake]

Catch 22.

Further, the world at a very fine level is fuzzy, so where do you decide the measurement should start/stop at?

[eagerSnake]

10/10

[Charles510]

How do perfectly rational distances make sense in the real world? You can not have exact measurements in the real world. There is always going to be some +/- margin of error. You will only find a perfect unit distance as a mathematical ideal.

[Cheery Dog]

And you think Elvis Presley came up with those moves on his own?

he's an alien, of course he did

[eagerSnake]

How do perfectly rational distances make sense in the real world? You can not have exact measurements in the real world. There is always going to be some +/- margin of error. You will only find a perfect unit distance as a mathematical ideal.

I never claimed they did make sense

Burden of proof

[Who]

Exact nonzero distances don't make sense in the real world, rational or irrational.

[eagerSnake]

Exact nonzero distances don't make sense in the real world, rational or irrational.

poor sod

Lol because irrational distances don't make logical sense in the real world, only in the ideal mathematical world

no, they still make sense even in the real world.

IDK who is in the right but I'd put money on Who

[chamber]

Right, what who said is fine. I don't think that's what you meant though given that you specified irrational distances. Irrational distances make as much sense as any non-zero distance.

[eagerSnake]

poor sod

Lol because irrational distances don't make logical sense in the real world, only in the ideal mathematical world

no, they still make sense even in the real world.

[eagerSnake]

The bias is pretty clear I think

[chamber]

My statements aren't contradictory.

[eagerSnake]

My statements aren't contradictory.

[chamber]

You have to assume that I'm talking with perfect precision and no context to take them as contradictory. It's obvious to me that no measured value is accurate in practice, irrational or rational. But the bases of this thread was you having a deep misunderstanding about irrational numbers that I feel you still possess. In my first statement what I was trying to get across was that there was no divide between irrational or rational numbers in that sense. I believe that was a reasonable way for me to read what you said given that you were still specifying irrational numbers. If it's not what you meant you could have stated as much, if not when I said it, now. Instead you are trying to shift blame onto me when no blame needs to even exist.

[eagerSnake]

You said irrational distances make perfect sense outside of idealistic mathematical planes

You said that

Now YOU'RE trying to shift the blame for me not specifying "exact" which I was driving at as you can see in #52

[chamber]

just a rational approximation to whatever the real length is

[Who]

What I said was more precise. What Chamber said was at the same level of precision as the conversation had been up to the point where I said the thing about no distances making sense, and was correct to that level of precision.

[Charles510]

Every number is rational after you round it off to a certain level of precision.

[eagerSnake]

I feel like we've reached a common ground at least.

The next question is whether the following statement is true:

No matter how small of a unit you divide the diameter into, if you try to use that unit to measure the circumference, at the end you will have a space too small for that unit, and vice-versa.

Furthermore, the ratio of that space left over to the unit must be irrational.

[Who]

I feel like we've reached a common ground at least.

The next question is whether the following statement is true:

No matter how small of a unit you divide the diameter into, if you try to use that unit to measure the circumference, at the end you will have a space too small for that unit, and vice-versa.

If you have a perfect circle that is true. You will not have a perfect circle in the real world. Or well, maybe weird shit like black holes or something you might get one, but not in normal circumstances.

[Charles510]

That has to be true because we know that pi is irrational. The ratio of C/D will be irrational only if C or D or both are irrational.

[eagerSnake]

Based on what we know, anyway, it must be true.

Why could I not theorize that there is a unit of measurement so infinitesimal that if everything was measured using the unit there would be no irrationality?

[Who]

Based on what we know, anyway, it must be true.

Why could I not theorize that there is a unit of measurement so infinitesimal that if everything was measured using the unit there would be no irrationality?

Which axiom would you like to get rid of to make that happen?