Infinity -just maths or any physical existence?

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The discussion centers on whether infinity has a physical existence or is merely a mathematical concept. Participants explore the implications of "physically eternal" quantities and the idea that while the universe may be infinite in size, true physical infinities are not observed. They reference mathematical models, such as singularities in black holes and van Hove singularities in materials, suggesting that infinities can manifest in physical properties, though their true existence remains debated. The conversation highlights the distinction between mathematical infinities and their applicability in physical theories, with some arguing that mathematical constructs do not need to have real-world counterparts. Ultimately, the nature of infinity in both mathematics and physics continues to provoke thought and inquiry.
  • #31
arildno said:
Well.
Isn't it a distinction between a) finding results compatible with an existing singularity, and indeed derivable from regarding it as existent and b) To show the singularity's existence?

TrickyDicky said:
Yes, and it's a clear distinction in science.
Really? Please explain how science can "show the existence" of anything whatever, except by "finding results that are compatible with its existence".

The map is not the territory.
 
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  • #32
AlephZero said:
Really? Please explain how science can "show the existence" of anything whatever, except by "finding results that are compatible with its existence".

The map is not the territory.

This reminds me on Copenhagen's school. How can I know that results of the data prove that you (or anyone else) exist behind the computer...
We all know we all exist, but according to Copenhagen's school this is not the case because I'm not observing you and you're not observing-so how can you know I exist behind your computer, and how can I know that you exist behind my computer.
Obviously there is something wrong with this hypothesis, or it needs to be extended, because despite all the experiments show, Moon (and everything else) does exist even when none is observing it.
 
  • #33
AlephZero said:
Really? Please explain how science can "show the existence" of anything whatever, except by "finding results that are compatible with its existence".

The map is not the territory.

No, first please explain how making the distinction quoted in my post contradicts in any way what you write above.

If the first part of your first sentence refers to a) and the second refers to b), the distinction just points out that b) is a necessary condition but not a sufficient condition for a).
 
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  • #34
AlephZero said:
Really? Please explain how science can "show the existence" of anything whatever, except by "finding results that are compatible with its existence".

The map is not the territory.

Well, b) implies a) but generally a) is all we can do :-)
 

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