i think this is it
because without the format we came up with
nothing means anything
for example
1+1 is only 2 because we all agreed that's the case
in the same way that blue is only blue because we decided it's blue
i have an interesting relationship with colors as i am colorblind...
that's what led me to this way of thinking i think
1+1=2 is not only true because we "agreed its true". its a universal truth. thus it has been discovered and not invented.
we only invented the tools to describe math (e.g. numbers and signs)
1+1=2 is not only true because we "agreed its true". its a universal truth. thus it has been discovered and not invented.
we only invented the tools to describe math (e.g. numbers and signs)
what leads you to believe that it is a universal truth?
Did the man who invented college, go to college?
She was a woman and she did
what leads you to believe that it is a universal truth?
because it is something that would be true and occur in nature whether humans discovered it or not.
Yes, those are abstractions that we create to make sense of it, with various social conventions used to formalize said abstractions. But you are mistaking the map for the territory. The world was a round planet before maps and globes were made. If I create a map of the world, it is an "invention", my interpretation of the data, but even if I never drew the map, the world would still exist. The same logic applies to science.
I think we arguing 2 different things, cause I agree with what ur saying I stated it earlier in the thread. I was more so talking about the literal fields and studies of mathematics and science being a man made thing not the observations that were already there
what leads you to believe that it is a universal truth?
Read my post on page 3 it answers your question perfectly
1+1=2 is a universal truth, the only part we “agreed on” is naming 2 2.
Edit: my bad meant page 3 not 4
because it is something that would be true and occur in nature whether humans discovered it or not.
i guess i'm saying
i'm not convinced that the idea of 1+1=2 is universally true
because i only believe that's true because it was ingrained in me from childhood
how do i truly know the answer to 1+1 if i did not discover it myself?
going further... what even is a one? or a two?
stripping all of those things away
what's left?
whatever that is... is the universal truth and i don't think we can get there without dying or out of body experiences
does that make sense? this is difficult to explain sometimes haha
what leads you to believe that it is a universal truth?
A lack of psychedelics
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.
wow this is so awesome
i love this stuff so much
i wish school really was about learning
and not trying to get a degree to make money etc.
cause i'd go to college for stuff like this
wow this is so awesome
i love this stuff so much
i wish school really was about learning
and not trying to get a degree to make money etc.
cause i'd go to college for stuff like this
I learned this in university
But yeah vast majority of my classes weren’t as cool or interesting as this one
i guess i'm saying
i'm not convinced that the idea of 1+1=2 is universally true
because i only believe that's true because it was ingrained in me from childhood
how do i truly know the answer to 1+1 if i did not discover it myself?
going further... what even is a one? or a two?
stripping all of those things away
what's left?
whatever that is... is the universal truth and i don't think we can get there without dying or out of body experiences
does that make sense? this is difficult to explain sometimes haha
the basic concept is left. thats why its an universal truth
we can all agree that a stone for example is discovered and not invented right? so if you strip our understanding of what a stone is, how and why it is there etc, away from it, down to the word "stone" (which was invented) itself than wouldnt it still be a stone?
the same goes for "1+1=2". we only invented the signs and numbers to describe it, but if humans wouldve never discovered that if you add something to something youll get something else it would still be true
If you argue like this, physics are invented too.
There are different schools of thought on this. It seems to an argument between intuitinism/platonism.
Intuisinism "is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality."
so the difference here is a semantic one. I understand mathematics to be a language or a set of laws and axioms applied to the universe. You understand it to be something inherent to the universe, predating (or separate from entirely) language and existing as its own governing principle.
We've reached an impasse, as as is usually the case with semantic disagreements.
the basic concept is left. thats why its an universal truth
we can all agree that a stone for example is discovered and not invented right? so if you strip our understanding of what a stone is, how and why it is there etc, away from it, down to the word "stone" (which was invented) itself than wouldnt it still be a stone?
the same goes for "1+1=2". we only invented the signs and numbers to describe it, but if humans wouldve never discovered that if you add something to something youll get something else it would still be true
i agree that the basic concept is left
but as you noted, the word stone was invented
so when we take away what we invented
how can anyone say what it actually is?
it is what it is, yes
but the language we use to define it will always color it with something subjective vs objective
going back to my color point
we all have seen the color blue
but how do we know that we're all seeing the same blue?
why is it called blue? what is blue?
if we take away the idea of blue... what is that color?
how can anyone say?
I might be climbing on mirrors here but this is just the way I see it. I'm using the word concept by it's definition. That idea isn't what you've found per se, the phenomenon is what you've found and the concept is what you've thought up to try explain it
the idea didn't always exist, the phenomenon did
that apple always falling from the tree exposes a phenomenon, Newton had a concept when viewing this which grew into the theory of gravity
I'm making the distiction that one (phenomena) is how the universe works and the other (concept) is us percieving and describing it.
I bring this up because the title is using the term mathmatics, which is manmade as is logic, correct? just because these are manmade does not mean they're not rooted in natural phenomena of how the universe works. It is us who doing the concieving, of ways to describe how the world works through numbers, letters what have you
i agree that the basic concept is left
but as you noted, the word stone was invented
so when we take away what we invented
how can anyone say what it actually is?
it is what it is, yes
but the language we use to define it will always color it with something subjective vs objective
going back to my color point
we all have seen the color blue
but how do we know that we're all seeing the same blue?
why is it called blue? what is blue?
if we take away the idea of blue... what is that color?
how can anyone say?
we are all seeing the same blue because its not defined by your brains interpretation of it but by the laws of physics
and whether we would know that or not it would still be true
we are all seeing the same blue because its not defined by your brains interpretation of it but by the laws of physics
and whether we would know that or not it would still be true
As far as i understand, the “laws of physics” arent exactly definitive and conclusive. There is a lot we dont know. Theres no need to be decisive about it except to win arguments. Is your brains interpretation of the laws of physics defined by the laws of physics?
Youre still plugged in bro
(And btw i was taking the piss about psychs before didnt mean to be mean about it sorry)
It was invented when people transitioned from hunter gatherer societies to agricultural ones. They compared crop yields and over time developed basic math to keep track of production
It was invented when people transitioned from hunter gatherer societies to agricultural ones. They compared crop yields and over time developed basic math to keep track of production
So when two hunters were missing spears they didnt think “oh we need two more spears”?