/sci/ - Science & Math » Thread #11160238

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Anonymous Tue 19 Nov 14:08:45 2019 No.11160238 View Reply Original Report

Quoted By: >>11160241 >>11160940 >>11161013 >>11161041 >>11161053

Any two rationals have an irrational between them and any two irrationals have a rational between them, so the number of irrationals and number of rationals must be the same.

Anonymous

Anonymous Tue 19 Nov 2019 14:10:45 No.11160241 Report

Quoted By:

>>11160238
>any two irrationals have a rational between them
prove it

Anonymous

Anonymous Tue 19 Nov 2019 19:18:18 No.11160940 Report

Quoted By: >>11160972

>>11160238
infinite for both, then yes it is equal

Anonymous

Anonymous Tue 19 Nov 2019 19:31:10 No.11160972 Report

Quoted By:

>>11160940
but you said ANY.

Anonymous

Anonymous Tue 19 Nov 2019 19:43:55 No.11161013 Report

Quoted By:

>>11160238
There's an infinite number of rational numbers between any two irrational numbers. But in terms of cardinality, the irrationals are uncountable but the rationals are just countable.

Anonymous

Anonymous Tue 19 Nov 2019 19:53:29 No.11161041 Report

Quoted By: >>11161047

>>11160238
Irrational is not irational...

There are order numbers e and smilar.
Pi number
And the triangular numbers ( square root of number is a side of triangle, therefore you can hit them exactly on axis )

If there is unconountable number of irrational number, there could be uncountable number of roots...

And therefore there could be infinite number of irrational numbers///

e.g. 1pi 2pi 3pi...

Therefore yes. Infinite too.

Anonymous

Anonymous Tue 19 Nov 2019 19:55:22 No.11161047 Report

Quoted By: >>11161049

>>11161041
Actually there is more irrational numbers, because we can have 1/4 pi and so on, therefore any rational number can be :connected: to few irational numbers.

Anonymous

Anonymous Tue 19 Nov 2019 19:56:12 No.11161049 Report

Quoted By: >>11161054

>>11161047
It's cardinality is greater*

Anonymous

Anonymous Tue 19 Nov 2019 19:57:06 No.11161053 Report

Quoted By:

>>11160238
Infinity is bullshit

Anonymous

Anonymous Tue 19 Nov 2019 19:57:29 No.11161054 Report

Quoted By:

>>11161049
Thank you

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