/sci/ - Science & Math » Thread #11709438

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Anonymous Mon 25 May 08:07:44 2020 No.11709438 View Reply Original Report

Quoted By: >>11709447 >>11709450 >>11709470 >>11709494 >>11709507 >>11709541 >>11709834 >>11709891 >>11710455 >>11710462 >>11710474 >>11710843 >>11713009 >>11713029 >>11713892 >>11714544

A circle of zero radius is indiscernible from a circle of infinite radius.

Anonymous

Anonymous Mon 25 May 2020 08:09:36 No.11709447 Report

Quoted By: >>11709455

>>11709438
Okay now what?

Anonymous

Anonymous Mon 25 May 2020 08:10:20 No.11709450 Report

Quoted By: >>11709455

>>11709438
your sentence makes a distinction between the two by identifying they have different radii

Anonymous

Anonymous Mon 25 May 2020 08:11:36 No.11709455 Report

Quoted By: >>11709832 >>11710635

>>11709447
It's just an interesting reflection on how reality itself is a harmony of opposites. For example, the universe has net 0 energy, making it not much different from the lack of a universe.

>>11709450
Of course they're different. They're just indiscernible. See text above.

Anonymous

Anonymous Mon 25 May 2020 08:18:43 No.11709470 Report

Quoted By: >>11709472

>>11709438
a point is indiscernible from a straight line ?

Anonymous

Anonymous Mon 25 May 2020 08:19:31 No.11709472 Report

Quoted By: >>11709513

>>11709470
How so?

Anonymous

Anonymous Mon 25 May 2020 08:27:28 No.11709494 Report

Quoted By:

>>11709438
you literally just discerned between them.
>b-but they would look the same if instantiated
they do not have looks. they are abstracts.

Anonymous

Anonymous Mon 25 May 2020 08:34:46 No.11709507 Report

Quoted By: >>11709527

>>11709438
a circle of radius r can be defined as the set {(x,y) : x^2+y^2=r^2}. a circle of radius 0 is the set {(0,0)} while a circle of radius infinity is the empty set. seems like two discernible sets to me(btw you're not using the word discernible in the rigorous mathematical sense)

Anonymous

Anonymous Mon 25 May 2020 08:41:45 No.11709513 Report

Quoted By: >>11716778

>>11709472
I'm asking OP. but he better say yes, because it's equivalent to his statement.

Anonymous

Anonymous Mon 25 May 2020 08:50:33 No.11709527 Report

Quoted By: >>11710275

>>11709507
>circle of radius infinity is the empty set
not always, only when the center is a honest point. if the center is an ideal point, the circle is a straight line.

Anonymous

Anonymous Mon 25 May 2020 09:01:15 No.11709541 Report

Quoted By:

>>11709438
Bullcrap! There's a difference between a tiny circle and a bigass circle.

Anonymous

Anonymous Mon 25 May 2020 11:37:17 No.11709832 Report

Quoted By:

>>11709455
>what is dialectical materialism
It gets more interesting when you consider the logical stipulations of the universe being the harmony of opposites. For all the shit Marx gets, most people outside academia haven't heard of dialectical materialism and it is extremely interesting.
If this interests you anon I'd recommend you read into it, particularly Dialectics of Nature by Engels.

Anonymous

Anonymous Mon 25 May 2020 11:42:59 No.11709834 Report

Quoted By:

>>11709438
>indiscernible

Too vague. What do you mean?

Anonymous

Anonymous Mon 25 May 2020 12:19:35 No.11709891 Report

Quoted By:

>>11709438
A what is indiscernible from a what?
You just said the exact same thing twice and they are blending into the void I cant even discern them from the rest of the gobbledygook buzzing through the ideosphere let alone from each other.

Anonymous

Anonymous Mon 25 May 2020 15:56:14 No.11710275 Report

Quoted By:

>>11709527
this is a valid way of interpreting the question. I kinda forgot about the connection between lines and circles using Mobius transforms on Riemannian sphere

Anonymous

Anonymous Mon 25 May 2020 15:59:09 No.11710281 Report

Quoted By: >>11710457 >>11710472

Circles have finite and positive radius. Otherwise they are not circles.

Anonymous

Anonymous Mon 25 May 2020 17:12:47 No.11710455 Report

Quoted By:

>>11709438
>A thing which contains every conceivable point in its plane is equivalent to a thing which contains exactly one point
Ya done goofed, good bait though.

Anonymous

Anonymous Mon 25 May 2020 17:13:49 No.11710457 Report

Quoted By: >>11710472

>>11710281
Correct answer. This board is full of brainlets who think they're smart.

Anonymous

Anonymous Mon 25 May 2020 17:15:59 No.11710462 Report

Quoted By:

>>11709438
No you are wrong.

Anonymous

Anonymous Mon 25 May 2020 17:19:19 No.11710469 Report

Quoted By:

$\text{let }r = 0\\ C = 2\pi r\\ C = 2\pi(0)\\ C = 0\\\\ \text{let }r = \infty\\ C = 2\pi r\\ C = 2\pi(\infty)\\ C = \infty$
They seem pretty different to me

Anonymous

Anonymous Mon 25 May 2020 17:20:23 No.11710472 Report

Quoted By:

>>11710281
>>11710457
to be fair, it is useful to consider straight lines in the complex plane as circles with infinite radius and centers at infinity. this way, you get closure under Mobius transforms on the rienman sphere

Anonymous

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Anonymous Mon 25 May 2020 17:21:30 No.11710474 Report

Quoted By:

>>11709438
And how do you construct a circle of a zero radius?

Anonymous

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Anonymous Mon 25 May 2020 18:23:27 No.11710635 Report

Quoted By:

>>11709455
>making it not much different from the lack of a universe

Anonymous

Anonymous Mon 25 May 2020 18:24:54 No.11710638 Report

Quoted By:

in so far as they are both circles, their quality is identical, only their quantities differ. welcome, op, to the world of forms

Anonymous

Anonymous Mon 25 May 2020 19:17:42 No.11710843 Report

Quoted By: >>11712959

>>11709438
A circle of infinite radius is a straight line. A circle of zero radius is a point.

Anonymous

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Anonymous Tue 26 May 2020 09:17:43 No.11712959 Report

Quoted By: >>11712982 >>11713025 >>11713030

>>11710843
>A circle of infinite radius is a straight line
what? explain

Anonymous

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Anonymous Tue 26 May 2020 09:32:49 No.11712982 Report

Quoted By: >>11712999 >>11713038

>>11712959

Not that dude. The circle of infinite radius looks like a straight line to an observor that's standing right on the curve since the radius of curvature is so large that the circular curvature disappeared. god damn my brain does not work at 3am. IN BIG CIRCLE, YOU DONT FEEL CURVATURE SO ITS STRAIGHT. THINK EARTH, EARTH IS FLAT BUTTTTTTTTT ITS ROUNDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Anonymous

Anonymous Tue 26 May 2020 09:38:26 No.11712999 Report

Quoted By:

>>11712982
BASADO

Anonymous

Anonymous Tue 26 May 2020 09:42:57 No.11713009 Report

Quoted By:

>>11709438

Not really since a circle of zero radius isn't a circle.

Anonymous

Anonymous Tue 26 May 2020 09:51:41 No.11713025 Report

Quoted By: >>11713030

>>11712959
consider the family of circles passing through the origin $(0,0)$ and with their center on the x-axis:
$(x-r)^2+y^2=r^2$
expand and divide by r to obtain
$ \tfrac{x^2}{r} - 2x + \tfrac{y^2}{r} = 0$
now send $r \to \infty$ , you get a straight line.

Anonymous

Anonymous Tue 26 May 2020 09:54:48 No.11713029 Report

Quoted By:

>>11709438
>A circle of zero radius is indiscernible from a circle of infinite radius.
Because they dont exist?

Anonymous

Anonymous Tue 26 May 2020 09:55:32 No.11713030 Report

Quoted By:

>>11712959
>>11713025
https://www.desmos.com/calculator/hymvmuh5l3

Anonymous

Anonymous Tue 26 May 2020 09:59:18 No.11713038 Report

Quoted By:

>>11712982
>The circle of infinite radius looks like a straight line to an observor that's standing right on the curve
That's impossible if you really think about it

Anonymous

Anonymous Tue 26 May 2020 15:48:27 No.11713892 Report

Quoted By:

>>11709438

Arrival?

Anonymous

Anonymous Tue 26 May 2020 18:42:05 No.11714544 Report

Quoted By:

>>11709438
OP, if you're still there, was this a T-duality joke?

Anonymous

Anonymous Wed 27 May 2020 09:08:25 No.11716778 Report

Quoted By:

>>11709513
Not OP but yes, turn the line on a third axis and it will become a point (as it comes toward you).

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