I Different kinds of infinity in physics?

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The discussion explores the concept of infinity in physics, particularly in relation to the multiverse theory. It highlights the distinction between countable and uncountable infinities, referencing Georg Cantor's work. The conversation notes that if there are infinitely many galaxies, it does not necessarily imply an infinite number of identical selves unless the infinity is uncountable. Concerns are raised about the careless use of infinity in scientific literature, emphasizing the need for precision in these concepts. The thread also mentions the author's interest in gravitational waves and a new book titled "Beyond Spacetime."
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Do different versions of infinity matter in physics?
I am reading several books on infinity as first developed by Georg Cantor.
Some physicists claim that the multiverse might be infinite. But they don’t seem to mention two of the kinds of infinity which might (exist?). It makes an infinite difference to make a bad pun. The integers define countable infinities but the real numbers are a larger infinity. I have read statements that if there are an infinite number of galaxies then there are an infinite number of myself in some infinite subset of this infinite multiverse. But that is not the case if this infinite number of galaxies is a countable infinity!
Don’t worry, I am not a mystic. I just find careless use of concepts unfortunate in scientific papers. Then again, many concepts are rather vague.

I just received the book “Beyond Spacetime” Ed. by Huggett, Matsubara and. Wuthrich.
Look very interesting.
I am also reading books and papers about gravitational waves — at last an experimental
field.
 
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So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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