Can we count infinity?
Can we divide or multiply infinite irrational numbers by a certain number to make them rational(finite)?
Is alef 0 the true amount of infinity?
Did aliens or intelligent extraterestrial life find out the exact pi number or sqrt of 2?
is math invented or was it already there and we discovered it?
are we biased to think that the only way maths works is in this sense of manner?
Could maths have evolved in a different way or is this the only way it could have evolved and the only way?
Take a kid for example and tell him 1+1 is 3 and 2+2 is 5 add one to each answer will the kid grow up and ever realise that what he learnt makes no sense?
If you add 1+0 is nothing actually something?so can 1+0 be 2?
How does infinity have different sizes?Isn’t infinity just one sized?
A triangle has an angle degree of 180 shouldn’t 360 be a diamond or a square and not a circle?
Ok , So first of all i want to thank my friend /u/paashpointo for answering all the doubts i had.
So can we count infinity? physically speaking that is impossible because the definition of infinity means that an amount that can never be reached or counted to.
We can’t divide or multiply an irrational number by a certain number to make it rational because dividing it or multiplying it will still make it an irrational number which is smaller as a whole for example instead of 3.325… it would just become 0.452… it will still be infinite does not change the fact that it is infinite.
Alef 0 is a certain size of infinity it does not explain different sizes of infinity so for example draw lines in a sequence starting by a line of length 10 cm smaller and smaller each line to a shape of a triangle it will reach to a point where the lines would disappear and the amount of lines from the starting point 10 cm smaller and smaller till it reaches 0 cm that corresponding amount from the start to an end is called alef 0 which explains infinity that infinity has an end, but now take another line with the length of 12cm that would also come to an end but does that now mean that there is two alef 0s(two infinities)? Then it can keep going on length of 13 14 15cm which will bring up more and more different sizes of infinity.
Well it is possible for someone who has an infinite amount of time to finally get the exact number of pi or sqrt of 2 but since there is not enough time to actually calculate the exact pi it is not possible, but you will ask what if i try my best to get as far as i can then pass it on to my next generation to continue well that is possible but if you made one mistake in one of the numbers you would have to start again from that number and it is just too long no one can ever reach it(knowing exact pi means knowing the exact circumference of a circle and other shapes which will help making alot more accurate measurements for buildings and we will evolve in building anything not just buildings).
Math is definitely invented in a manner that we humans can understand basically if something makes sense or works we use it, if it does not make sense and especially if it does not work we throw it out. Take a car for example can you say that it was invented or was it already there and we found out about it? No ofcourse it was invented and if it works we use it if it needs horses to pull it well then that is a cart and there would be no such thing called a car(which btw came from the word cart if that wasn’t obvious already).
Yes we are kinda biased to think this is the only way math works because it can mean a totally different thing to other extraterrestrial intelligent life, for example if we tell an alien that 1+1 is 2 how will he know what those signs mean for example he does understand those signs how will he know that 1 means one object what if aliens use numbers as a language and for them it means run or 2 means peace, what if they speak in numbers instead of letters, so to them it would look like run + run = peace huh?
Anyway if a kid grows up if he actually makes some research of what he learnt he would then later realise that all what he had learnt was actually wrong and that our way makes more sense to his(our) feeble mind.
Physically speaking 1+0 = 1 but theoretically or philosophically speaking 0 could mean something but since math wants a physical sense so 1+0= 1 and not 2, like if you add 1 person to nothing they don’t magically become 2 people(maybe if you know a crazy magic trick where you put 1 person in an empty box and they become 2).
So anyway next question, take this irrational number for example 2.153… it is infinite but it is a certain size of infinity for example add a 1 in its 3rd decimal place which makes it 2.154… so basically this infinity is larger than the previous one so basically you can say that there is an infinite size of infinity if that makes sense to you, for example take that number again and add 1 to its 2nd decimal place which makes it 2.164… which is also a larger infinite than previously, so you can keep adding 1s anywhere in that large infinite irrational number to keep and keep changing its size, so basically the size of infinity can keep and keep changing unlimited times.
And finally the last question, so a triangles angle degree is 180 and if you add to it another triangle becomes 360 which is a circle but if you use this equation S=180(n-2) it will show that the angle degree 360 has 4 sides but how does a circle have 4 sides? Ok so now for example take this inside out square like this + it is still 360 degree so if you draw around it a circle it will look like a cars driving wheel so the angle is still 360 but when it is a square it is drawn in a different way so to you it might look like a square but it can still be drawn as a circle and still be 360 degrees, that is why when you drive a car and to drive around in a 360 degrees you have to turn the wheel 4 times, 3 times to turn 180 degrees 5 times to turn 540 then you keep adding 180 each turn.
Thank you hopefully this answered your doubts like it did for me argue about anything that i’ve might said wrong or ask anything that you guys did not understand properly i will try to clear them up for you or i will leave my friend paashpointo to clear things up for you.