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i saw an equation in my dreams lastnight! opinions?
- Thread starter ladybug77
- Start date
Poeticus
| abhyAvartin |
Kilgore Trout
Misanthropic Humanist
Your complete lack of ability to see why you're wrong doesn't make you right.
You are referring to those making jokes arent you?
Would someone just challenge the darn thing already? Mathematically? So far, im right with the given senerios.
Zero is not a thing, but that doesn't mean we don't make good use of it. Especially in our maths.
We do make good use of it. But sometimes its used incorrectly.
If we're not using it correctly, we're not using it.
Gjallarhorn
N'yog-Sothep
Yes, however not in mathematics.
As I said, your hippie metaphors don't invalidate the institution.
Ok. So it's 1 times 10. Hence this:
mistakes what multiplication is. Multiplication (times) refers to the way you just described 10. 10 is 1 times 10. 50 is 1 times 50. $50 means the value of one dollar fifty times. How much money do you have if you have the value of 0 dollars 100 times? 0.
Let's say I have to write the line "I will not imitate Bart Simpson" on the chalkboard 1,000 times. How do you do this? You write the one line over and over again 1,000 times. 1 times 1,000. If you wrote that line 0 times, how many times will you have written it?
Multiplication tells you to take some value (the number of pencils in a box, the number of books on a shelf, the amount of money you earn in a year, whatever) and add it to itself a certain number of times. Take any number and add it together 0 times. You always get zero. You can't really re-write mathematics if the faults you find with the current system are because you aren't understanding what mathematical operations are supposed to be.
Kilgore Trout
Misanthropic Humanist
In your little fantasy, what would -1/2 + 1 equal?
Curious George
Veteran Member
So does this then mean that 5*-1= -1 and 5*-2=-5?
What about 1*-2 this would be -1 or -2?
And -2*-2=2(not 4) but -1*-1=-1?
Further, 3^-1=1 and 3^-2=1/3 but -(1^x)=-2?
I just think your system causes unnecessary confusion.
Further you are saying that if you owe me 3 dollars and pay me two then your balance is -2.
Also 3/1=3 and -(3/1)= -4. but -3/-2=2 yet (-2) (3)/(-2) (2)= 3/2.
Sorry your system does not work.
What about 1*-2 this would be -1 or -2?
And -2*-2=2(not 4) but -1*-1=-1?
Further, 3^-1=1 and 3^-2=1/3 but -(1^x)=-2?
I just think your system causes unnecessary confusion.
Further you are saying that if you owe me 3 dollars and pay me two then your balance is -2.
Also 3/1=3 and -(3/1)= -4. but -3/-2=2 yet (-2) (3)/(-2) (2)= 3/2.
Sorry your system does not work.
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1 -1 = 1
If you have a pencil and I take it away, you still get to have a pencil. That's not fair.
Both ways are in fact correct. It just turns out that your proposed way is correct under a very extreme form of math that is fairly crippled far as applicability goes.
There are many forms of math, useful under different circunstances.
Let's say I wish to walk from the spot I am standing 5 feet forward. I do. I am now five feet from where I began. If I walk 7 feet in the opposite direction, I can represent this on the number line like so:
-4__-3__-2__-1__0__1__2__3__4__5__6
I started at 0 and walked five feet forward. Now I take away 7 by walking backwards.
-4__-3__-2__-1__ 0__1__2__3__4__5__6
I don't end up one foot behind where I started. I end up 2 feet behind where I started. I note this by placing a " - " sign to indicate that I have ended up behind where I started. Mathematics is all about precision. I can add apples and oranges if I say that 4 oranges plus 5 apples is equal to 9 pieces of fruit because I am actually not adding oranges or apples but pieces of fruit. What I can't do is say I have 9 apples.
Getting to actual math and leaving kindergarten for a moment, operations have meaning within particular systems. So do numbers, in fact. In many algebras we may not use numerals and in one very common algebra the entire set of "numbers" has two elements. There are infinitely many ways within the standard, rational number notation to write any rational number because there are infinitely many fractions corresponding to every rational number. There's just not a whole lot of reason to write 0/3000 when you mean zero. Absolute value is frequently the distance away from 0 on the number line but for vectors it's the length given by the square root of the squares of every entry of the vector.
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The philosophy is sound: nothing is ever destroyed, removed or eliminated.
But math isn't philosophy.
It's fair that I took a pencil from you and you still have a pencil? That means two pencils. We brought one into existence.
We're magic.
That's not what I said, though. I said you still have a pencil. That's what the math (1 -1 = 1) means.
