are mathematical concepts created or discovered?
>>7700660
Yes
>>7700664
Can confirm
>>7700660
>100th repost
if you were sincere, you could check the archives and not make the thread in the first place
too bad you're just a shitposter
Well depends
0!=1
Was created by Mathematicians because it made their lives easier when doing combinatorics.
However e and pi are both universally naturally occuring phenomenon. 3.14 and 2.7 however are things that were constructed by humans using a base 10 number system.
>>7700668
Nah bro those 50 threads where the vast majority say created and 50 threads where the vast majoirty say natural.
It's actually the 101st
I like to assume maths is a language we uses to convey reality. I want to expand on the point but I am retarded and bad with words but I am sure other (less retarded people) have said a crazy amount on the subject.
>>7700660
created
discovered implies our theories are faithful explanations
>>7700754
Ah I like what you mean. They are created but that creation of whatever is in itself the discovery of a piece of something greater
>>7700674
At the risk of outing myself as a scrub - can e really be said to be natural when it's defined as the limit of an arbitrarily defined sequence?
Not that I'm disagreeing with you - feel free to tell me how I'm wrong and how my argument's flawed. Just trying to either confirm or improve my understanding of this stuff.
>>7700660
they are created once you make an axiom and discovered once you find new properties that are deduced\induced from your axiom .
look at things life infinitesimals\imaginary numbers those dont exist unless you introduce an axiom that says they do so in a way you create them , but all the possible theorems that follow form their existence are discovered .
for example if i introduce the axiom 1/0=7 , i have created a mathematical concept ,everything that follows i can discover like the fact that n*(1/0)=n*7
>>7700691
>mathematics
>axioms
>reality
there's no axioms in reality ,
>>7700799
what
>>7700660
Is there an actual difference?
I'm inclined to take a sort of Kantian approach and say that mathematical analysis is in some sense a necessary part of producing a coherent image of the world. So they're created but not necessarily in an arbitrary way
Pure mathematical and scientific concepts are discovered. They've existed before we put a name to them and written them down - they're not 'new things'.
The words and methods we use to explain these concepts are invented, though - like our numbering system or units of measurement.
tl;dr: Yes.
>>7701385
What you just said contradicts itself.
are axioms physically real?
>>7700804
jaden browses /sci/ sometimes
They're inventions who goal is to exhibit the highest possible degree of isomorphic (in the biological sense).
>>7701758
Damn spell-check. Chrome, why do you not know the word isomorphism?
>>7700664
Can confirm, im a scuba diver.
describe a creation in which nothing was discovered, describe a discovery which involved no creation
>>7700793
It turns out in many more cases. Just like the normal distribution, it makes sense that it appears in nature as nature usually is very efficient. So while intriguing it is aldo expected.
>>7700660
If you walk ten steps to the right, jump three times, walk five steps forward, and dig a three foot hole, did you discover your location?
>>7701940
Well memed
>>7700660
The answer is yes and no. Depends on the subject in which you're talking about.
Pi is universal, and therefore, discovered, yet we use a base 10 number system to understand it which is a creation of humans.
Phenomena is discovered and mathematics was created to describe it
>>7700660
>it's a platonism thread
sage
>>7700664
This.
>>7700660
created, anyone who says otherwise is clinically retarded
t. phd student
>>7701953
just add newtons laws to the maxwell equations and you can do anything^^
They are in the same way words are created. However, like words, they're created in order to familiarize ourselves with reality.
>>7700660
The concept is discovered.
The notation is created.
>>7704418
Creating the notation is discovering that the universe allows it to exist. It's discovering a set of states, both in your brain and elsewhere, can exist.
>>7700660
One important thing to notice is that logic and reasoning are completely limited to and dependent of the hardware which is going to perform it.
But really, these are just semantic games that have no meaning as soon as we can precisely define those terms.