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Deep flaws in Mathemathical thinking.

 
 
Reply Tue 26 Jan, 2021 03:21 pm
In this thread I will address some of the major paradoxes currently still present in Maths.
Feel free to counter or present your own beefs with some odd Math concepts.

I will go first with a classical regarding uncountable numbers and the ridiculous concept that there are bigger and smaller infinities.

What is a number that has no direct predecessor or successor in an uncountable chain? What does it represent?
(stick the point in a plane up your ass)
How much information does it have and in what set of information does it fit?

From where I come from you cannot frame intrinsic irrationality in any concept!

...feel free to thumb down to infinity!
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htam9876
 
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Reply Wed 27 Jan, 2021 12:57 am
Piggy is reluctant to get involving in too much dispute about math.
Imagine a circle together with its tangent. When we use the circle to approximate the tangent, the radius of the circle r → ∞. Sounds that infinity really exists.

Among the mathematical methods, which one can help solve problems in physics effectively, piggy will use it. Black cat vs white cat, which cat can catch mouse, it’ll be a good cat.

Perhaps even another 1 million years passes, no one can create a model to illustrate what nature is doing exactly. Forever, touchy and feely, both in math and physics.
…………………………………
By the way, what do you mean by “present your own beefs”? Piggy has only “pork”…
Albuquerque
 
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Reply Wed 27 Jan, 2021 01:58 am
@htam9876,
Imagine qualitative infinity between phenomena. How would everything not be totally alien to everything?

As for quantitative infinity what does it matter that you can plug a function of +1 if such function thus not translate to new information after you exhausted all phenomena in Reality?

So which is it, either you have Qualitative irrational Infinity, in which case you have to explain how everything is not alien and irrational towards everything else, or, if you don't, where does quantity stops representing qualia/phenomena/sets, of real things, such that you are left only with a fractal pattern repeat, of whatever sets of phenomena already exist which are finite?

To put it more succinctly what is the value function of quantity up to infinity without quality matching it? If quantity is counting repeated patterns of information it is not informing much...
Albuquerque
 
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Reply Wed 27 Jan, 2021 02:03 am
@Albuquerque,
In a finite circle you can go round and round ad infinity but that thus not mean you are really in an actual infinity. In Maths we have the same problem.
As soon as you get into a fractal pattern you get infinity but what is its actual use?
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Albuquerque
 
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Reply Wed 27 Jan, 2021 02:17 am
The moderate approach:

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Albuquerque
 
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Reply Wed 27 Jan, 2021 02:30 am
The debate on both sides of the fence regarding Infinity:

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