â„–3943031[Quote]
I will dump what I wanted to say here.
â„–3943032[Quote]
Okay I will do it with a contradiction.
Suppose the square root of two was rational lets call that rational number a. That means per definition of rational there exist integers p,q (natural numbers and their negatives) such that a = p/q q of course not bein zero otherwise it would not be a rational number. And such that p and q are coprime meaning they cant be reduced:
2/4 would not be reduced
1/2 would be reduced etc
We also have the equation:
a^2 = 2
By our defknition of a being the square root of two. Which means we have:
2 = a ^ 2 = (p/q)^2 = p^2/ q^2.
This is the first half.
â„–3943033[Quote]
posted it again while on guard duty at the cartel leader's mansion award
â„–3943035[Quote]
>>3943033You mean he's being held captive by the cartels for their next snuff film and this is his final message right?
â„–3943043[Quote]
>>3943032What does the square root of two matter for
â„–3943046[Quote]
>>3943035could be, he's mexican after all
â„–3943057[Quote]
I'm going to bed anyways literally zero arguments were made
â„–3943060[Quote]
>>3943057i did make an argument but you ignored it because youre a nigger
â„–3943065[Quote]
Now working with
2 = p^2/ q^2 multpliy both sides with q^2
2*q^2 = p^2.
This implies p^2 is even since it is equal to an even number. But p^2 has to also be divisible by 4. Otherwise, p would be divisible by square root of two.
Which means p is even and there exists an integer k such that
p = 2*k.
Putting this into the first equation we get
2 = (4* k^2)/q^2 multpliying with q^2 again we get
2 *q^2= 4* k^2 divide both sides by two to get
q^2= 2* k^2, but now using the same line of reasoning ad before we see that q^2 is divisible by 4 so p and q are both even but this is a contradiction to our assumption that p/q is already reduced, this means no such fraction exists and square root of two cant be rational.
â„–3943067[Quote]
>>3943043Not directed towards you.
â„–3943073[Quote]
>>3943069why are you a gay faggot?
â„–3943074[Quote]
>>3943069I wanted to show the brazilian what actual math looks like.
â„–3943075[Quote]
>>3943072What part dont you understand? I can help friend.
â„–3943078[Quote]
Full proof of irrationality of the square root of 2
In one single part:
Okay I will do it with a contradiction.
Suppose the square root of two was rational lets call that rational number a. That means per definition of rational there exist integers p,q (natural numbers and their negatives) such that a = p/q q of course not bein zero otherwise it would not be a rational number. And such that p and q are coprime meaning they cant be reduced:
2/4 would not be reduced
1/2 would be reduced etc
We also have the equation:
a^2 = 2
By our defknition of a being the square root of two. Which means we have:
2 = a ^ 2 = (p/q)^2 = p^2/ q^2
Now working with
2 = p^2/ q^2 multpliy both sides with q^2
2*q^2 = p^2.
This implies p^2 is even since it is equal to an even number. But p^2 has to also be divisible by 4. Otherwise, p would be divisible by square root of two.
Which means p is even and there exists an integer k such that
p = 2*k.
Putting this into the first equation we get
2 = (4* k^2)/q^2 multpliying with q^2 again we get
2 *q^2= 4* k^2 divide both sides by two to get
q^2= 2* k^2, but now using the same line of reasoning ad before we see that q^2 is divisible by 4 so p and q are both even but this is a contradiction to our assumption that p/q is already reduced, this means no such fraction exists and square root of two cant be rational.
Quod erat demonstrandum.
â„–3943083[Quote]
>>3943078That's surprisingly comprehensible actually thanks
â„–3943087[Quote]
>>3943083I am rather happy as it turned out, I think only on part might cause confusion for the people who have never heard of the concept divisibility.
â„–3943089[Quote]
>>3943082Nusois have never heard of the 1 million dollar p vs np math problem…
â„–3943095[Quote]
>>3943093Try learning higher mathematics for a change. It might help you improve your life like it did mine.
â„–3943099[Quote]
>>3943094Not easily earned. If you solve this problem you would probably get a statue in your home town.
â„–3943112[Quote]
>>3943109You can probably make easier money by working at an IT company but outsourcing to like some pajeet in india to do all your work for 10 cents per hour.
â„–3943114[Quote]
>>3943087I am not the sharpest when it comes to math; I study Biochem for me math is usually means to an end rather than a complete set of tools
â„–3943115[Quote]
>>3943112Somebaldi in the US worked at 10 compnaies simultaneously and outsourced all of his work to india.
â„–3943118[Quote]
>>3943114Math is very dear to me. I even do it privately as a hobby. But with all the recent AI math breakthroughs I feel a little sad and dont do it that often anymore.
â„–3943127[Quote]
>>3943118I can tell you that currently a lot of scientific work is being substituted with AI; it can be used for example to pick the most probable options out of a given set of experiments
I have seen what certain algorithms can achieve and I am very impressed since there are some that can model 3d atomic structure based on thousands of 2d scans of proteins submerged in ice glass
â„–3943137[Quote]
>>3943118Even if I cannot easily grasp math I always held people who study it in great respect
â„–3943141[Quote]
>>3943030 (OP)It's an uncomfortable teaching but no man deserves Heaven. Infants are just as deserving of Hell as any man. If God saves them, it is through extraordinary means.
â„–3943143[Quote]
>>3943137Thanks fren! Hopefully we wont get completely replaced by AI soon.
â„–3943234[Quote]
>>3943143Hopefully people won't be completely blinded by AI and there will still be a need for ones who understand science