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Anonymous ID:loi0622W Thu 11 Nov 2021 09:08:02 No.13799642 View View Reply Original Report

Quoted By: >>13799643 >>13799651 >>13799707 >>13799801

The probability of hitting a specific point on a dartboard is 0 because... it just is, okay?

Anonymous

Anonymous ID:4lAIaDNw Thu 11 Nov 2021 09:09:04 No.13799643 Report

Quoted By:

>>13799642
What are you talking about? Why is the filename a number?

Anonymous

Anonymous ID:+vKjzNtP Thu 11 Nov 2021 09:12:58 No.13799651 Report

Quoted By: >>13799673

>>13799642
If you split the points into discrete areas then it's not 0.
As the area shrinks to a single point i.e. it's surface goes to 0, the number of points becomes infinite hence the probability being 0.

Anonymous

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Anonymous ID:loi0622W Thu 11 Nov 2021 09:20:27 No.13799673 Report

Quoted By: >>13799674 >>13799681 >>13799707

>>13799651
infinity doesn't exist though

Anonymous

Anonymous ID:yiDBHj/k Thu 11 Nov 2021 09:21:53 No.13799674 Report

Quoted By: >>13799681

>>13799673
It exists as a mathematical concept. You can construct infinite and uncountable sets in mathematics. The set of points that comprise a circle (a "dartboard") is infinite.

Anonymous

Anonymous ID:+vKjzNtP Thu 11 Nov 2021 09:24:34 No.13799681 Report

Quoted By:

>>13799673
you WILL use the real numbers
you WILL accept infinity
you WILL pray to Cantor before sleep
you WILL NOT question the epsilon delta definitions

>>13799674
Now that I think about it, it doesn't have to be infinite, assuming that darts require some minimum area in order to "stick" to a board, like circle with the same radius as the tip of a dart. I don't know how sharp those are though

Anonymous

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Anonymous ID:ACP4ypFR Thu 11 Nov 2021 09:26:23 No.13799688 Report

Quoted By:

>The set of points that comprise a circle (a "dartboard") is infinite. Why? Fat old men in glasses said so therefore true

Anonymous

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Anonymous ID:fB9M4iKz Thu 11 Nov 2021 09:29:01 No.13799700 Report

Quoted By:

https://en.wikipedia.org/wiki/Planck_length

Anonymous

Anonymous ID:4bBv78EB Thu 11 Nov 2021 09:29:08 No.13799701 Report

Quoted By:

The existence of null sets of possible events in probability theory demonstrates the failure of measure theory. Measure theory is a brainlet cope.

Anonymous

Anonymous ID:yiDBHj/k Thu 11 Nov 2021 09:31:08 No.13799707 Report

Quoted By:

>>13799642
>>13799673
Also good taste OP. I wish Chitose was real so I could spoil her.

Anonymous

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Anonymous ID:loi0622W Thu 11 Nov 2021 09:36:38 No.13799756 Report

Quoted By: >>13799778 >>13799800 >>13799807

Chance of hitting an individual point = 0
A dartboard is comprised of an infinite amount of these points
0 times infinity is 0
Thus it is impossible to hit the dartboard
But I did it anyway
Explain this

Anonymous

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Anonymous ID:0PPECNRd Thu 11 Nov 2021 09:44:07 No.13799778 Report

Quoted By:

>>13799756
Bad math and illogical presumptions.

Anonymous

Anonymous ID:+vKjzNtP Thu 11 Nov 2021 09:52:23 No.13799800 Report

Quoted By:

>>13799756

probability of an event is 0 =/= the event is impossible
https://en.wikipedia.org/wiki/Almost_surely#Throwing_a_dart

Anonymous

Anonymous ID:E82ef0d3 Thu 11 Nov 2021 09:52:29 No.13799801 Report

Quoted By:

>>13799642
The makeup of this example is incorrect. When a dart hits the dartboard it gets stuck between the atoms. There are finite amount of atoms on the dartboard. Btw even if there were infinite points the number would approach 0 but wouldn't be 0

Anonymous

Anonymous ID:yiDBHj/k Thu 11 Nov 2021 09:55:19 No.13799807 Report

Quoted By:

>>13799756
https://en.wikipedia.org/wiki/Probability_distribution#Continuous_probability_distribution
1) Math != reality.
2) 0 times infinity is indeterminate
3) When you take the probability of hitting a certain area in a continuous space, you don't take a discrete sum but a continuous sum i.e. the integral (this solves your failed multiplication attempt)
4) By definition, the integral taken over the whole domain has to be 1. So you're guaranteed to hit the dartboard
5) The integral of a single point is 0. So it's mathematically "impossible" to hit that single point. That doesn't mean it's physically impossible in real life.

Anonymous

Anonymous ID:KUGJKMf3 Thu 11 Nov 2021 09:55:56 No.13799812 Report

Quoted By:

the point of a dart has a measurable area and the dartboard has a measurable area. therefore the probability is not zero.

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