SacSoul wrote:To clarify for a few of the above posts (and since I didn't in the OP that well now that I read it) I am also not talking about the language that we built around "numbers" which we now deem "math," but rather what they represent. It has been said that if we encounter intelligent life elsewhere, the first and foremost form of communication to be attempted is deciphering one another's mathematical language as it will be directly translatable in absolute terms.
SacSoul wrote:
Hmm it is even hard to write down my thoughts on this one in a coherent way.
I am so going to enjoy this thread

.
The above two posts are great.
In the first, we are looking at how to communicate with intelligent life and maths might be one way. In the second post we are looking at infinity which might be the terror of mathematicians!
I'm not sure that if we met intelligent life on another planet that maths will be the method of communication...
We have intelligent life on
this planet and maths is not the preferred method of communication

. We even have the same species but of different races on this planet and maths is one method of communication but not the major one.
For major methods of communication whether it be between races, cultures or any other animal or plant, it boils down to a combination of love or hate. When we meet an alien life form of humanoid status, the first thing we will be pulling out is a smile or a knife. If we pull out a smile, a calculator may follow eventually but the first communication will be, "spiritual," for want of a better word.
I know this doesn't answer your original question SS but I think the answer to your question is unknowable at our current level of development.
Asking if we invent or discover maths I suspect is the same question as, "Do we invent or discover god/s?" i.e "Is there an ultimate equation or is there an ultimate God that explains everything?"
There is a state of mind that some people, religious or non-religious, can experience where everything makes total sense. Some people can experience this state at will. Others accidentally get a glimpse or two of it. Most never experience it.
From my limited understanding of this state, the best way I can see that maths may relate to it is that the viewer can see with great clarity the inter-connectedness and purpose of nature. The viewer gets a glimpse at actually understanding and knowing infinity. Obscure terms such as, "I am you and you are me," actually make perfect logical sense in this state. When not in this state, such terms are ridiculous... unknowable.
One of the many thousands of yogic methods that can assist people to glimpse the unknowable is exploring questions such as you have posed.
For me personally, I love thinking on occasion about these questions, occasionally absorbing myself in them and then realising that I don't have a hope in hell of understanding or answering them

. I'll never understand pure mathematics. I'll never understand quantum physics. But, for us humans, there are a few languages we all understand. Some are negative and some are positive. A lot are inexplicable, baffling or punishing.
The only thing I know mathematically about us humans is we can be both nothing or everything to other humans. I could kill someone tomorrow without even realising it. I could be impatient on the road, toot my horn, give someone the finger and not realise that the person I had just abused might have just broken up with his spouse/partner etc. I might have been the last straw for that person. Who knows?
I might also give a smile or have just talked some shit with the same person and these actions might save their life. Who knows?
I don't do it much but when I do reflect on life, it is not maths that really gets me going (though I do find it fascinating - seriously) but rather the above two paragraphs.
When I do that, I realise how much power we all have as individuals and how hopeless we are at using it well.
Good on us!
PP
P.S. Told you I'd get stuck into this thread after a few beers

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