Fun With Math And Science
Fun With Math And Science
Before you read on, I would like to state: This article is not hacking related and is really more of an interesting thing to read, hence its placement in "other".
I was reading today a proof for 2 + 2 = 5 and have come up with some fun looking derivatives of it that would make any college math teacher squirm and any college science teacher proud.
2 + 2 = 5 based on significant figures. Since the numbers do not have a trailing period, indicating precision, you can reasonably assume that 2 and 5 are off by a margin of error of within plus or minus .5.
Therefore 2 + 2 = 5 assuming that 2.5 + 2.5 = 5. Now, you can also realize that the 5 is mutable in this equation and end with 2.333 + 2.333 = 4.6667. In this case the numbers are only off by 1/3.
To continue on this path and get closer to the actual number, I will bisect 2 into two 1's. 1 + 1 + 1 + 1 = 5, assuming that 1.2 + 1.2 + 1.2 + 1.2 = 4.8. In this case, we are only off by 1/5.
And finally, the version that will blow any 8 year olds mind and cause a college student to doubt all of his education:
1 + 1 + 1 + 1 = 1 + 1 + 1 + 1 + 1 1.111 + 1.111 + 1.111 + 1.111 = .889 + .889 + .889 + .889 + .889 As you can see four 1's are equal to five 1's. The numbers in this final case are off only by 1/9, or .11111 repeating. This is a rather good amount of precision allows for the sides to match.
Sources: System showed me this: http://en.wikipedia.org/wiki/Two_+two=_five#Significant_digits Which made me think of this stuff.
Disclaimer: I am not responsible for any laws of mathematics or physics that you break by applying information in this article. Any disruptions of time/space are NOT my fault. You assume all the risk.
SySTeM 16 years ago
Yay for disproving shizzle :) 0.999 recurring = 1 :D (http://en.wikipedia.org/wiki/0.999...)
ghost 16 years ago
1+1=10. Mathematics is a human concept. Outside of humans, maths does not exist. This concept was made because it was logically proven and that is how we evaluate a concept of truth. Everything boils down to perception, as nothing is for certain. Is the glass half full, half empty, is the glass twice too big, or does it even exist? What we think is what matters and nothing else. Interesting read.
ghost 16 years ago
Wow, Swart, that's some very deep stuff you're saying, and completely true too! I hope the other people allow themselves to understand things the way we do…
ghost 16 years ago
you could look at it in terms of pregnancies whereas women have multiple children… 1 + 1= 8
Uber0n 16 years ago
I don't agree with this - if you're given something like 2+2 you normally don't have a margin. You can't just assume there's a margin and then add any decimals you want. Or if I should edit what you said; Since the numbers do not have a trailing period, indicating precision, you can reasonably assume that 2 and 5* actually means 2 and 5.*** ;)
spyware 16 years ago
I agree with SwartMumba. Mathematics is simply a designed complex structure without actual meaning.
The decimal point structure is fucked up and wrong, something like that shouldn't exist in a structure full of logic.
It's merely a flaw.
ghost 16 years ago
It's just a scientific way of dealing with shitty measurements. That is also why you see a lot of scientific studies that have a ".0" or “.0000” at the end. And 2 + 2 does not equal 5. It can, but really 2 + 2 ~ 1.5-2.49 + 1.5-2.49 (any number between 1.5 and 2.49). Also, 1.0 + 1.23 does not equal 2.23, it equals 2.2. If it is not specified, you assume it was not measured. Fun.
ghost 16 years ago
I saw a proof once that 1==0, but it didn't work because you can't divide by 0 :D
Interesting read there ^^, I really like numbers… Taking discrete math next year, I might do something with number theory in college…
ghost 16 years ago
@ Last 2, It's not clever, it is common sense solution for bad measurements. It's more science than math. And if you think it's "clever" you could like… read more on it… god forbid that ever happen.
rolling 16 years ago
Wikipedia is not allowed by colleges for a reason. You cannot always go by what you get from there even if it is one of the best resources.
Typing a period after a letter produces a subscript while typing a period after a number produces a decimal point. A number that is rounded usually has two tildes ontop of another for it to represent about. Maybe i'm wrong but I also disagree. I suppose playing around with it is cute but i don't think this is in a technical form accurate.
ghost 16 years ago
I believe I understand it but I doubt I do bcuz of as far as I can tell it looks like some intelligent 7yr old who just understood the concepts of math and science discovered this. No offense to this theory I just doubt I entirely understand it. Someone care to pm me a dumbed down as possible explanation?