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>> No.9122043 [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
9122043

I love the Dedekind cut but it always feels weird when I think about what its actually doing.

>> No.8821520 [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
8821520

>02425950695064738395657479136519351798334535362521
>43003540126026771622672160419810652263169355188780
>38814483140652526168785095552646051071172000997092
>91249544378887496062882911725063001303622934916080
>25459461494578871427832350829242102091825896753560
>43086993801689249889268099510169055919951195027887
>17830837018340236474548882222161573228010132974509
>27344594504343300901096928025352751833289884461508
>94042482650181938515625357963996189939679054966380
>03222348723967018485186439059104575627262464195387

All irrationals terminate at these final 500 decimal digits. These are also the last 500 digits of the largest prime number.

I'll take my nobel prize.

>> No.8821519 [DELETED]  [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
8821519

>02425950695064738395657479136519351798334535362521
>43003540126026771622672160419810652263169355188780
>38814483140652526168785095552646051071172000997092
>91249544378887496062882911725063001303622934916080
>25459461494578871427832350829242102091825896753560
>43086993801689249889268099510169055919951195027887
>17830837018340236474548882222161573228010132974509
>27344594504343300901096928025352751833289884461508 >94042482650181938515625357963996189939679054966380 >03222348723967018485186439059104575627262464195387

All irrationals terminate at these final 500 decimal digits. These are also the last 500 digits of the largest prime number.

I'll take my nobel prize.

>> No.7670861 [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
7670861

You people are chumps.

>>7670844
Thats a fallacy, prove this part right here:

[math]\displaystyle 3 \cdot \frac {1}{3} = 3 \cdot 0.333...[/math]

Prove the equality. Oh wait, you can't its an arbitrary axiom. Dedekind and set theory shits on your amateur mathmatics. >>7670817
This nig knows whats up

>> No.7670857 [DELETED]  [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
7670857

You people are chumps.

>>7670844
Thats a fallacy, prove this part right here:

\displaystyle 3 \cdot \frac {1}{3} = 3 \cdot 0.333...

Prove the equality. Oh wait, you can't its an arbitrary axiom. Dedekind and set theory shits on your amateur mathmatics. >>7670817
This nig knows whats up

>> No.7670853 [DELETED]  [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
7670853

You people are chumps.

>>7670844
Thats a fallacy, prove this part right here:

<math xmlns="http://www.w3.org/1998/Math/MathML">
<mstyle displaystyle="true" scriptlevel="0">
<mn>1</mn>
<mo>=</mo>
<mfrac>
<mn>3</mn>
<mn>3</mn>
</mfrac>
<mo>=</mo>
<mn>3</mn>
<mo>&#x22C5;<!-- ⋅ --></mo>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
<mo>=</mo>
<mn>3</mn>
<mo>&#x22C5;<!-- ⋅ --></mo>
<mn>0.333...</mn>
<mo>=</mo>
<mn>0.999...</mn>
</mstyle>
</math>

Prove the equality. Oh wait, you can't its an arbitrary axiom. Dedekind and set theory shits on your amateur mathmatics. >>7670817
This nig knows whats up

>> No.7495902 [View]
File: 3 KB, 400x160, 1031503125.png [View same] [iqdb] [saucenao] [google]
7495902

<span class="math">\sqrt{2}[/spoiler] is irrational, and <span class="math">\sqrt{2}\sqrt{2}=\sqrt{4}=2[/spoiler] is rational.

Are there any irrational numbers multiplied by some other irrational number so that you end up with a rational number?

>> No.6929789 [View]
File: 3 KB, 400x160, 400px-Dedekind_cut_sqrt_2.svg.png [View same] [iqdb] [saucenao] [google]
6929789

>>6929668
>>6929664
>>6929649
>>6929608
>>6929590
Thank you, reading up on this stuff is incredibly fascinating. I feel strangly peaceful seeing the complete representation of every possible value in any possible way represented.

Dedekind cuts are also facinating to me

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