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СпутникиРНSpaceXРоскосмосNASAThat is all fine and good. Quantum mechanics can deal with that, so I am told. But I have to reason that there will be a fundamental particle of which nothing else is smaller. When that dimension is reached, perimeter expansion is halted at a finite value. It seems sacrilege to suggest that notion to those that need infinite or infinitesimal values to complete a working equation.
For whatever reason, let's say that the gravitational force of a single grain of sand is in an equation. If the value is considered infinitesimal, and assigned zero, the equation or formula dies there and is useless. The reciprocal is true in that any equation that contains infinity is invalid. That is my opinion anyway and maybe those undefined values are compensated for and this theory is ancient. Just curious.
You are conflating mathematics and physics.
Pure mathematics is not dependent on the size of atoms. That circle you speak of does not have to exist in the real world. It has no size.
If you think the gravitational influence of an entire grain of sand (about 1019 (10 billion billion) atoms is considered zero, you're gonna be real surprised when you hear about the gravitational influence of a single atom of silicon, or an electron.
Probably best to read up on these matters first and form opinions later.
Curiosity is a good thing.
Indeed. Physics is constrained to entities that can actually exist. Objects in mathematics do not have these limitations. A line can have a thickness of zero, unlike any such figure you draw with even the finest pen or pencil.
It is already true in mathematics that the infinity symbol is not allowed to appear in any mathematical expression or equation. If we say that some expression has an infinite value, we are really saying that it can be made arbitrarily large in the limit.
BTW, I take issue with the thread title -- "Infinity and 0 (null set) do not exist"
While it is true that infinity does not exist, zero certainly does, as it accurately describes the number of pink flamingoes in my front yard. Also, zero and the null set are not the same things.
There are several uses of term "infinite", "infinity", or the symbol ##\infty## in mathematics. The natural numbers, for example, is an infinite set. In this case, countably infinite.
All mathematics demands is that things are well-defined. In that sense, infinite is just as meaningful as finite.
I think that is overstating, see, e.g.
$$\frac \pi 4 = \sum_{k=0}^\infty \frac {(-1)^k} {2k+1}$$
Oops, it seems @jedishrfu beat me to this idea
What about fractional pink flamingo? If a pink flamingo were to die on your front lawn today, would it no longer be a pink flamingo? It might be a 'dead' pink flamingo, but that's just an added adjective. Just like we're all breathing in molecules of Caesar's last breath, IMHO, your front yard is littered with less than whole number pink flamingo.
But given the topic, and I'm not a mathematician; how do mathematicians deal with the fact that even though much of the universe is ruled logarithmically, there exists no 'zero' in logarithmic math?
as alway, OKTDIABMTAS
OKTDIABMTAS = OK To Delete Infract And Ban, My Thoughts Are Saved
Did you never have a run-in with ZapperZ?
I was almost banned for the content of my very first post.
I still have no idea why I haven't been banned.
@Danger once said that my comments, while not scientifically correct, might make for a great science fiction novel. I'm going with that.
| # | Наименование новости | Тональность | Информативность | Дата публикации |
|---|---|---|---|---|
| 1 | Is infinity a necessary concept? | 0 | 10 | 31-07-2026 |
| 2 | What if 0 is special? | 0 | 10 | 16-09-2026 |
| 3 | A neat fact regarding Cauchy problems for infinite systems | 0 | 10 | 24-04-2026 |
| 4 | The natural numbers and logical consequences of them | 0 | 10 | 03-06-2026 |
| 5 | 0 | 0 | 30-09-2026 | |
| 6 | Age problem from Mathematical Conundrums | 0 | 10 | 26-06-2026 |
| 7 | Interesting math problem that I saw on-line | 0 | 24.29 | 06-10-2026 |
| 8 | Nuda propiedad | 0 | 10 | 02-10-2026 |
| 9 | Dudas existenciales | 0 | 10 | 01-10-2026 |
| 10 | Nuda propiedad | 0 | 10 | 02-10-2026 |