Interesting post of my own introspection. Is that my bi-cameral mind arguing with myself?
Whoops, I broke a quote-tag, and clearly didn't check the resulting post. Here is it again:
f(4) = 4 describes many mathematical functions. In fact any function that returns a singular complex value for a just a single singular input value will suffice. To make this more explicit: you have inadvertently claimed that this is addition:
$$f(x)=\frac{x^2}{4}$$
You're looking at reality , no?
Yes, but I'm not finding a mathematical object "4" anywhere.
This is the same function: f(4) = 4. And it has the same problems.
OK, a string is a set of numbers.
No, a string has ordering, so it can't be a set. A string is a sequence, but not of numbers, of characters. (I'm using it specifically in the programming sense, but you can read "a linear, finite sequence of language glyphs" or something along those lines in place of it.)
(2+2) is a string with a value of 4 in mathematics, but not necessarily in philosophy or reality.
Right, "2 + 2" equals "4" in mathematics. It doesn't become "4", it is "4".
Addition is a mathematical function.
It's an operation, that can be expressed as a function.
Where did I say that a mathematical function can only take one (oops, 1) input? Or have only one (1) function.
I've never claimed functions can only take one input; I've pointed out that your "addition function" does. It takes one string as its input: f("2 + 2").
Fractals have nothing to do with this.
lol, I recognize that the term potential has many applications and wanted to clarify that I was speaking about the type of potential which is inherent but latent , not for instance {V}
Then explain what "the potential of the latent mathematical value" is/means.
Not unless you do the calculation and use = symbol
No, the (physical) action of performing the addition is not part of mathematics. 2 + 2 always equals 4. Nobody needs to "apply" an = symbol. It follows necessarily from the axioms of mathematics and number theory.
And it depends on the context ; 2 doves + 2 canaries = 4 birds, but not 4 doves or 4 canaries.
Please give a definition of a mathematical dove. Because that's what we are talking about, remember?
The OP asks ; Does time exist? Does that fall under mathematics or philosophy?
Irrelevant to the discussion at hand: we are discussing mathematics here.
That is the crux of the matter. The word potential applies in all disciplines of study as well in practical application.
You are committing a fallacy of equivocation here. The term "potential" means many things, and these usages cannot be used interchangeably.
That is why I believe it is a profoundly important symbolic term.
Please demonstrate that this is true in all languages, not just English.
So are the terms Probabilistic and Deterministic mathematical terms or philosophical terms?.
Probabilistic has meaning in statistics, which is a branch of mathematics. I'm not familiar with a philosophical definition of the term. Deterministic is (usually) to do with (meta)physics and philosophy.
I don't understand how this is relevant to the discussion at hand, though?
The point I am trying to make is that it applies universally to every theoretical discipline
The definition of the word changes between these different disciplines, so they are not the same thing. For example, a "tree" is a biological structure that you see outside. But in mathematics it's also a hierarchical structure of objects. They are related etymology-wise, yes, but there are completely different things. Properties of one type of tree do not (necessarily) apply to the other type of tree. Their tree-properties cannot be applied universally. The same with "potential". What's true for one definition of the word "potential" isn't (necessarily) true for the other. What's why there are multiple definitions in the first place!
That would be a case where a potential does not become reality. Potential = That which may become reality. And can be applied to both Probabilism and Determinism.
So you agree with me that "potential" in the sense of "becoming reality" has no meaning in mathematics. Good. I can't wait for your explanation of "the potential of the latent mathematical value" then.
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But, if anything it show that the "the potential of the latent mathematical value" is a variable depending on the conditional permission to become expressed .
That's where the "may become" reality comes into play.....
Please define the word "variable" as you are using it in that sentence. Please define the term "conditional permission" as you are using it in that sentence.