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/sci/ - Science & Math


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14797034 No.14797034 [Reply] [Original]

>Muh [math] \sigma [/math]-algebras
>Muh measures
>Muh non-measurable sets
>Muh Lebesque integral
>Muh [math] L^p [/math] spaces
All this just so mathfags can keep the axiom of choice and "real numbers".

>> No.14797057

>>14797034
it gives you a way to uniformly sample matrix groups and other weird stuff which i think is cool and good

>> No.14797073

Is this brainlet still getting filtered by axiom of choice?

>> No.14797095

>>14797057
Explain
>>14797073
Cope

>> No.14797127

How exactly are non measurable sets a problem again, brainlet?

>> No.14797142

>>14797127
>Want free material? Just rotate my set to get dubble the volume
Absolutely delusional.

>> No.14797150

>>14797142
Rotations conserve volume, brainlet.

>> No.14797153

>>14797150
For mesurable sets yes

>> No.14797157

>>14797153
And non measurable sets don't have a well defined volume. Your statement was wrong and retarded, brainlet.

>> No.14797160

>>14797157
Which is my point, the fact that there are sets that don't have well defined volume proves real numbers and AOC are nonsense.

>> No.14797166

>>14797160
For anyone with a high IQ it is intuitively obvious that there are sets which are sufficiently unphysical/ungeometric to have no well defined volume, brainlet.

>> No.14797183

>>14797166
Yes, so the real numbers aren't an accurate description of our geometry.

>> No.14797234

I had to study it a bit because of advanced probability and stochastics (not originally a mathematician). It definitely helped me get an abstract interpretation for a lot of that intuitive things of probability that we "just know" how they're supposed to go but can't deeice (without measure theory).

>> No.14798552

>>14797057
you mean Haar measures?

>> No.14798733

Lets hope you're just an engineer OP

>> No.14800411
File: 248 KB, 880x620, a6ut63j7gaq41.png [View same] [iqdb] [saucenao] [google]
14800411

>>14798733
>

>> No.14803202

>>14797166
what is your opinion on the axiom of determinacy?

>> No.14803449

>>14797183
Lmao the continuum IS our geometry you fucking moron. The naturals are our approximation.

>> No.14805069

>>14803449
>the continuum IS our geometry
what makes you think so?

>> No.14805997
File: 280 KB, 2088x1816, PlanarLines.jpg [View same] [iqdb] [saucenao] [google]
14805997

>>14797142
>>14797150
>Rotations conserve volume, brainlet.
I don't exactly know what you mean, but I feel like that could either be True OR False