/sci/ - Science & Math » Thread #12920168

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Anonymous Sat 03 Apr 13:40:12 2021 No.12920168 View Reply Original Report

Quoted By: >>12920192 >>12920671 >>12920702 >>12920720

is

S = {n ? N | j,k ? N, k = j^2 and k > n }

the empty set?

Anonymous

Anonymous Sat 03 Apr 2021 13:53:11 No.12920192 Report

Quoted By:

>>12920168
looks like N to me

Anonymous

Anonymous Sat 03 Apr 2021 16:13:59 No.12920671 Report

Quoted By: >>12920703

>>12920168
no the empty set is S={ }

Anonymous

Anonymous Sat 03 Apr 2021 16:20:21 No.12920702 Report

Quoted By: >>12920723

>>12920168
this doesn't make sense

Anonymous

Anonymous Sat 03 Apr 2021 16:20:23 No.12920703 Report

Quoted By:

>>12920671
is is equilvalent to the empty set thats what i wanted to find out

Anonymous

Anonymous Sat 03 Apr 2021 16:22:49 No.12920720 Report

Quoted By:

>>12920168
This reads as though it's all natural numbers that are less than some perfect square. Shouldn't this set be equinumerous with the set of naturals?

Anonymous

Anonymous Sat 03 Apr 2021 16:23:16 No.12920723 Report

Quoted By:

>>12920702
I thought he was implying some set of n-tuple of squares greater than n, which is obviously not empty.

Anonymous

Anonymous Sat 03 Apr 2021 17:41:25 No.12921043 Report

Quoted By:

You're missing a quantifier, OP.

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