So quantity existed but mathematics was invented?
No, in my head mathematics was a concept that always existed that humans discovered once they came into existence. That doesn’t mean they “invented” it, which is the question OP is asking.
Watched this document on Netflix, don't Know if it's still on there but it introduced me to mathematics in nature.
I suppose it depends on if you view the word mathematics as the concept or the study, as you just said. Semantics I guess
Yep, semantics is hella important
Mathematics are discovered. What we humans invent is a way of interpreting and working with that raw data. We agree on conventions best suitable to describe the laws of nature. Mathematics is the "language of science".
Mathematics are discovered. What we humans invent is a way of interpreting and working with that raw data. We agree on conventions best suitable to describe the laws of nature. Mathematics is the "language of science".
Ah...yes
You know what’s f***ing crazy. The way that something made up by humans is able to explain so much of the universe so well. Like why is it able to do that? Why is the speed of light what it is? Or how the f*** gravity works?
Makes no f***ing sense it just is
It’s discovered.
I’m a math major, I took a class on pretty much this concept. Been a few years though so if I misremember something my bad but I’m pretty sure I got it down pat. Was probably my favourite math class ever.
Essentially you start off with basic facts of life, things that aren’t invented, they just are true. A couple examples are that you start off with only 2 numbers (1&0). 1 just means something, and 0 means nothing. Then a couple basic rules (adding nothing to anything leaves you with what you start with, something has an inverse which if taken away leaves you with nothing, etc etc. We call all these basic things axioms iirc.
Based off all the basic info, you can go on to prove literally all of math in history. Nothing needs to be added on. And I think it all starts with like 13 axioms which is wild to think about.
Like you have to prove the number 2 exists, which you do by proving 1+1 isn’t 1 and 1+1 isn't 0 (which isn’t intuitive btw). Then we learn that 1+1 must equal a new number that’s not included in the axioms and we decide to represent the number that describes 1+1 as 2. So on and so forth.
Ah...yes
The laws of mathematics exist regardless of human observation. They are discovered. What we create are ways to observe, inteprete, organize and observe those phenomena. We refine those ways and strive to explain nature as accurate as possible. The decimal system for example is an invention, or Arabic numerals, or the naming conventions of variables like f(x). We use that formal system we have created to try and explain as logically as possible what occurs within nature. As the number of conventions created grows, the formal system itself becomes more and more complex, so that inquiries into that formal system itself is possible - this is what we call "pure mathematics". The conventions created form a system of their own, and we describe it from a meta-perspective.
You know what’s f***ing crazy. The way that something made up by humans is able to explain so much of the universe so well. Like why is it able to do that? Why is the speed of light what it is? Or how the f*** gravity works?
Makes no f***ing sense it just is
It's all because of mutiple observation and experiments through the course of human history. One concepts builds onto another and another and another.
Technically you can argue the format in which we write and describe math is invented, as different cultures used different symbols and even different bases for their number system (we use 10 but civilizations in the past have used 12) but the concept itself is discovered.
Technically you can argue the format in which we write and describe math is invented, as different cultures used different symbols and even different bases for their number system (we use 10 but civilizations in the past have used 12) but the concept itself is discovered.
the phenomenon is discovered, concepts are concieved (and also invented lol)
the phenomenon is discovered, concepts are concieved (and also invented lol)
Yeah its not as if concepts like imaginary numbers can exactly be observed in nature
the phenomenon is discovered, concepts are concieved (and also invented lol)
Not sure what you mean by concepts.
Because arguably I would say concepts are hypothesized, and then using previous proven math results, you prove the hypothesis. Proving it isn’t inventing it, it’s just discovering how it could be proven.
the system of math that's taught in schools is a self-contained logical formulation that was created in order to describe the physical world - best high level way I can put it
Mathematics are discovered. What we humans invent is a way of interpreting and working with that raw data. We agree on conventions best suitable to describe the laws of nature. Mathematics is the "language of science".
mathematics is the interpretation, or the framework we use to conceptualize the "data". it only becomes mathematics when the language is applied to it
1+1 is 3
mathematics is the interpretation, or the framework we use to conceptualize the "data". it only becomes mathematics when the language is applied to it
If you argue like this, physics are invented too.
To discover something means you found it and brought it to light. Math is too broad of a term to have been discovered or invented