Take pi, that abuses the possibility of "divide". It is based on the mistaken conception that 22 and 7 are compatible in a "divide" context when they are not.
That makes no mathematical sense, and is unrelated to the definition of pi.
Pi is simply the ratio of a circle's circumference to its diameter. It has been proven that pi is the same for
all circles. Moreover, pi occurs in pretty much every field of mathematics and physics, and is present in Euler's astoundingly elegant identity:
Nevertheless, pi is
not the division of 22 by 7. It can be approximated by this, but it certainly isn't calculated by it.
Signs are not inexhaustable, so the functions they represent are therefore not inexhaustible either.
When you try to do something like divide 22 by 7, you are attempting to exhaust the principle function and that is a sin. If you do not avoid this sin, the consequence is slavery to sin (John 8:34) - in this - and consequently there will be other mathematical errors where divide is seen as a resource when it is not.
You shove mathematical nonsense with religious idiocy with an audible clang. Please stop, if only for my ear's sakes.
I am sorry I cannot reply with more robust mathematical exegesis but I am limited to the principle logic at stake (by my own lack of ability). I suppose questions that might arise from what I am saying might be:
- how many times can you use a sign?
I can only assume you mean '+' and '-' as 'signs' to denote positive/negative -ness. Even if that is the case, the question makes no sense. Plus and minus signs are just used to augment pre-existing symbols to represent related quantities (for instance, there is no one symbol for the quantity -7, but, as I just demonstrated, it can be represented as the negative of 7, which
does have its own symbol).
So perhaps the answer is: formally, zero. Practically, one.
- does how many times you can use a sign differ from person to person?
No. Logic is invarient to the person.
- what is the right way to share maths if there is no constant as to how we operate using it?
Mathematics is the logic of numbers, shape, pattern, etc. There is no 'right' way of doing it, anymore than there is a 'right' way of eating a packet of crisps.
- does this mean maths is subjective...?
No.
Naturally, these questions are only as good as your dedication to them (and for the more mathematically minded they are probably insufficient).
To the mathematically inclined, they make no sense.
"What does this talk of mathematical sin save me from?" you might well ask. My hope is that it will save people from obsession with things like pi
Ah, I see. Pi is not the object of idol-worship, so you can rest easy on this one.
and the idolization of man's limited knowledge of the universe.
Who idolises humanity's sphere of knowledge (in the sinful, Biblically-condemned sense of the word idolatry, of course).
With that out of the way, we may begin to approach a more agreeable (and therefore productive) perspective of what God has created for us to use in His sight.
Call me short-sighted, but isn't it more prudent to justify the existance of your god first?