/sci/ - Science & Math » Thread #11221746

39KiB, 466x273, axiom of choice.png

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Anonymous Fri 13 Dec 03:51:20 2019 No.11221746 View Reply Original Report

Quoted By: >>11221749 >>11221753 >>11221754 >>11221828 >>11221951

>Given any family of nonempty sets, their Cartesian product is a nonempty set.
How can anyone disagree with this?

Anonymous

Anonymous Fri 13 Dec 2019 03:51:58 No.11221747 Report

Quoted By:

i dunno. i will never understand mathfags.

Anonymous

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Anonymous Fri 13 Dec 2019 03:52:51 No.11221749 Report

Quoted By:

>>11221746
I disagree because I don’t know what it means and I want to be a dick.

El Arcón

El Arcón Fri 13 Dec 2019 03:55:00 No.11221752 Report

Quoted By: >>11221755

>How can anyone disagree with this?
Doublethink makes anything possible.
https://www.youtube.com/watch?v=v_O_eX2f54c

Anonymous

Anonymous Fri 13 Dec 2019 03:54:59 No.11221753 Report

Quoted By:

>>11221746
You have to construct it on a case by case basis.

Anonymous

Anonymous Fri 13 Dec 2019 03:55:40 No.11221754 Report

Quoted By:

>>11221746
I prefer the axiom of determinacy

Anonymous

Anonymous Fri 13 Dec 2019 03:55:46 No.11221755 Report

Quoted By: >>11221757 >>11221810

>>11221752
do you blaze 2ky?

El Arcón

El Arcón Fri 13 Dec 2019 03:57:03 No.11221757 Report

Quoted By: >>11221759

>>11221755
I most certainly do! Smoking weed is one of my favorite things.

Anonymous

Anonymous Fri 13 Dec 2019 03:57:20 No.11221759 Report

Quoted By: >>11221763

>>11221757
come to anaheim and smoek

El Arcón

El Arcón Fri 13 Dec 2019 03:59:43 No.11221763 Report

Quoted By: >>11221777

>>11221759
I plan to travel to place that is both outside the (((alleged))) jurisdiction of the POS USA, and also where the local government is antagonistic to the government of the USA.

Anonymous

Anonymous Fri 13 Dec 2019 04:07:40 No.11221777 Report

Quoted By:

>>11221763
Aight. I'm down to meet up in Iran.

Anonymous

Anonymous Fri 13 Dec 2019 04:22:16 No.11221810 Report

Quoted By:

>>11221755
Obviously.

Anonymous

Anonymous Fri 13 Dec 2019 04:23:33 No.11221815 Report

Quoted By:

The Cartesian version is sure easier to swallow than how my professor introduced the axiom of choice.

Anonymous

Anonymous Fri 13 Dec 2019 04:29:54 No.11221828 Report

Quoted By: >>11221894 >>11222049

>>11221746
If $A_n = (n, \infty)$ is a nonempty interval for each positive integer n, what is $\prod_{ n=1}^\infty A_n$ ?

Anonymous

Anonymous Fri 13 Dec 2019 05:02:35 No.11221894 Report

Quoted By:

>>11221828
(2,3,4,5,...) is an element.

It becomes more clear if the sets A_n have an undecidable nature to their content but still have existence proofs that they are non-empty.

You can have a sequence of logical theories that are self-consistent and consider the sets of theorems that are true but unproveable in each logical theory.

Anonymous

Anonymous Fri 13 Dec 2019 05:39:12 No.11221951 Report

Quoted By:

>>11221746

types, faggot, do you know them

cartesian product is a set of sets

Anonymous

Anonymous Fri 13 Dec 2019 06:42:02 No.11222049 Report

Quoted By:

>>11221828
literally just the set of sequences {a_n} such that a_n > n for all n
products aren't like intersections moron

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