/sci/ - Science & Math » Thread #11594093

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Anonymous Thu 23 Apr 06:44:36 2020 No.11594093 View Reply Original Report

Quoted By:

surreal numbers

Anonymous

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Anonymous Thu 23 Apr 2020 07:29:29 No.11594169 Report

Quoted By:

yup

Anonymous

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Anonymous Thu 23 Apr 2020 07:40:18 No.11594181 Report

Quoted By:

yep

Anonymous

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Anonymous Thu 23 Apr 2020 07:56:28 No.11594203 Report

Quoted By: >>11594682

yyup

Anonymous

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Anonymous Thu 23 Apr 2020 07:59:48 No.11594208 Report

Quoted By:

mmm-hmm

Anonymous

Anonymous Thu 23 Apr 2020 08:01:55 No.11594213 Report

Quoted By: >>11594230 >>11594732 >>11595019

so the surreal numbers are just another representation of the infinite succession of cardinal / ordinal numbers right?

is there any insight facilitated by the 'surreal numbers' that isn't contained in cantor's observation on the cardinality of power sets?

Anonymous

Anonymous Thu 23 Apr 2020 08:08:43 No.11594230 Report

Quoted By:

>>11594213
Depends on what you mean by "representation". Surreal numbers are a field, unlike cardinals or ordinals

Anonymous

Anonymous Thu 23 Apr 2020 10:57:49 No.11594454 Report

Quoted By: >>11594997

just keep in mind that 0.999... = 1 remains true no matter if you work with real, surreal, or hyperreal numbers

Anonymous

Anonymous Thu 23 Apr 2020 12:42:42 No.11594682 Report

Quoted By: >>11594703

>>11594203
Wtf is that notation, upside down number 1's

Anonymous

Anonymous Thu 23 Apr 2020 12:48:54 No.11594703 Report

Quoted By: >>11594727

>>11594682
I think it's supposed to be up/down arrows

Anonymous

Anonymous Thu 23 Apr 2020 12:57:59 No.11594727 Report

Quoted By: >>11594741

>>11594703
Is there anywhere that explains the notation?

Anonymous

Anonymous Thu 23 Apr 2020 12:59:29 No.11594732 Report

Quoted By:

>>11594213
I think they're interesting in the sense that they contain all other well-ordered sets, which is pretty cool.

Also they gave Conway game-theoretic insights, which is the reason he constructed them, but I'm not sure about other insights.

Anonymous

Anonymous Thu 23 Apr 2020 13:03:16 No.11594741 Report

Quoted By:

>>11594727
http://www.tony5m17h.net/surreal.html

Anonymous

Anonymous Thu 23 Apr 2020 15:09:46 No.11594997 Report

Quoted By: >>11595012 >>11595023

>>11594454
uh no
in surreal numbers you have the infinitesimals

so .999..=1 only by taking the standard part of .999..

that is in surreal numbers a+epsilon != a

Anonymous

Anonymous Thu 23 Apr 2020 15:16:56 No.11595012 Report

Quoted By: >>11595056

>>11594997
and why would you think that the symbol 0.999... stands for something different in surreal numbers than in real numbers ?

Anonymous

Anonymous Thu 23 Apr 2020 15:23:01 No.11595019 Report

Quoted By:

>>11594213

The JIDF really coming out strong on this this one

Anonymous

Anonymous Thu 23 Apr 2020 15:24:44 No.11595023 Report

Quoted By: >>11595053

>>11594997
Not how it works bud. There are no infinitesimals between the same number.

Anonymous

Anonymous Thu 23 Apr 2020 15:38:20 No.11595053 Report

Quoted By:

>>11595023
its called a monad
and they exist both in the hyperreal and the surreal numbers
when you say number you mean 'real' number, which is not the topic

Anonymous

Anonymous Thu 23 Apr 2020 15:39:21 No.11595056 Report

Quoted By:

>>11595012
fuck it whatever lets call 0.99999= 1-epsilon where epsilon is infinitesimal
so in the reals they're still the same number
ok?

Anonymous

Anonymous Thu 23 Apr 2020 15:41:38 No.11595067 Report

Quoted By:

if ya bitches want to actually learn something instead of jerking infinitely about 1=.99... fucking read
on numbers and games ~ John Conway
or
the surreal numbers ~Knuth

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