B Is Infinity Cyclical or Linear?

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The discussion centers on the nature of infinity, questioning whether it is cyclical or linear. Participants clarify that infinity does not run out of numbers and that repeating sequences in an infinite string do not necessarily occur. The concept of infinite strings and their properties is debated, including Cantor's proof that there are more infinite sequences than finite ones. The idea of an infinite hotel paradox is introduced to illustrate the complexities of infinity, but it is acknowledged that infinity cannot be both cyclical and linear simultaneously. Ultimately, the conversation highlights the challenges in understanding the true nature of infinity.
  • #31
Bipolar Demon said:
If by random you mean non repeating non terminating and not of a pattern.
That's exactly what I meant by random. Thanks for the explanation. I shall read further into it.
 
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  • #32
BL4CKB0X97 said:
That's exactly what I meant by random. Thanks for the explanation. I shall read further into it.

You shall not do so without having to encounter some kind of philosophy.:nb):smile:
 
  • #33
Bipolar Demon said:
You shall not do so without having to encounter some kind of philosophy.:nb):smile:
I enjoy a good philosophical debate, so I should be ok. I hope. [emoji2]
 
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  • #34
Bipolar Demon said:
You shall not do so without having to encounter some kind of philosophy.:nb):smile:
How so? In a random number, each digit that appears has an equally likely chance. So in, say, the fourth place, a 1 digit is as likely as a 2 digit, or 3 digit, and so on. Not much philosophy there that I see.
 
  • #35
Mark44 said:
How so? In a random number, each digit that appears has an equally likely chance. So in, say, the fourth place, a 1 digit is as likely as a 2 digit, or 3 digit, and so on. Not much philosophy there that I see.
Yes, one can reduce such a number to an random algorithm, you are right.

I was under the (possibly wrong) impression such an investigation would lead one to ask questions like

"What is number?" "what is infinity?" "do we have anything infinite in the universe?" and come up across some general philosophy of mathematics and views of people who say that the irrational number and other infinite objects do not exist and should be discarded, then the OP will perhaps investigate the philosophy behind such peoples views. I think OP will then realize that although the basic principles were inspired by reality and nature, the results and relationships that arise are outside of space and time.:redface:
 
  • #36
Bipolar Demon said:
Yes, one can reduce such a number to an random algorithm, you are right.

I was under the (possibly wrong) impression such an investigation would lead one to ask questions like
[snip possible philosophical musings]
One can speak of randomness, irrational numbers, infinite quantities and infinite sets without venturing at all into philosophy. This is good since philosophy is not acceptable subject matter here.
BL4CKB0X97 said:
I enjoy a good philosophical debate, so I should be ok. I hope.
Somewhere else. Not here.
 

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