You can't do operations on infinity

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    Infinity Operations
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Discussion Overview

The discussion revolves around the concept of performing mathematical operations on infinity, particularly in the context of singularities such as the Big Bang. Participants explore the implications of infinity in mathematics, the nature of operations defined on infinity, and the limitations of mathematical understanding regarding infinite concepts.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that operations on infinity cannot be performed in the same way as with finite numbers, suggesting that mathematics cannot fully comprehend infinity.
  • Others argue that operations on infinity are indeed performed in mathematics, though not all operations are well-defined, and infinity is not treated as a real number.
  • One participant challenges the notion that the singularity of the Big Bang "existed forever," stating that this idea is not supported and that the singularity's nature regarding infinity is uncertain.
  • Another point raised is that while some operations on infinity are defined, they do not follow standard algebraic rules, leading to potential contradictions.

Areas of Agreement / Disagreement

The discussion remains unresolved, with multiple competing views on the nature of operations involving infinity and the implications for understanding singularities.

Contextual Notes

Participants express differing interpretations of infinity and its mathematical treatment, highlighting the complexity and nuance in defining operations on infinity. There are also unresolved assumptions regarding the nature of singularities and their relation to infinity.

g.lemaitre
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I'm trying to get my words right. They say you can't do operations on infinity. Sorry I don't have an exact quote. But on the other hand you can do calculations involving infinite series. What is the proper way to describe what math can't do with infinity?

I want to say something along the lines of you can't use math to determine how the singularity (Big Bang) existed forever because the singularity was infinite and you cannot use math to understand infinity.
 
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Of course you can do operations on infinity. This is done in math all the time. It's true that infinity won't be a real number though. And it's true that not all operations will be well defined. But we can perform some operations.

Furthermore, there are many different kind of infinities in mathematics, some notions are better suited in some situations than in others.

g.lemaitre said:
you cannot use math to understand infinity.

We most certainly can.
 
g.lemaitre said:
I want to say something along the lines of you can't use math to determine how the singularity (Big Bang) existed forever because the singularity was infinite and you cannot use math to understand infinity.

1) The big bang did NOT "exist forever" --- where did you get that notion?
2) The singularity is not known to have been infinite and you should not make that as a definite statement. It MAY have been infinite, but that is not known.
 
We have operations on infinity that are defined and some that are undefined. Some of the ones that are deflined don't adhere to normal algebra, which is why you sometimes can get a contradiction when using standard algebra when infinity is involved.

So I think it is better to say that "we can't apply operations in the usual way" to infinity.
 
ok, looks like I didn't know what I was talking about. Thanks for clearing things up.
 

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