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If 1/(1/infinity) is just infinity. And -1/(1/infinity) is -infinity

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Avatar of One_Zeroith
One_Zeroith
Jun 20, 2023
0
#1

Then what is (1/0)??

Because 0 is demonstrateably less than (1/infinity) but greater that (-1/infinity)

Is (1/0) greater than both infinity as well as -infinity??

Avatar of Lincoy3304
Lincoy3304
Jun 20, 2023
0
#2
There are an infinite amount of sizes of infinities called Cardinal Numbers
1/0 is indeterminate. There is no specific answer. So no
Avatar of One_Zeroith
One_Zeroith
Jun 21, 2023
0
#3

Not indeterminate.

1/(1/Aleph0) is Aleph0

1/(Aleph1) is Aleph1 and is smaller, even.

1/(1/0) is 0, the smallest.

1/0 is the very greatest.