Originally posted by googlefudgeOh I love logic.
The number line has no beginning and no end. that is why it is infinite.
0 is just the number in the middle.
What is the middle of infinity? It can be anywhere along an infinite line can't it?
We can pick a point and call it zero and this is now the middle but since any point can be the middle then 1 is also the middle and so is 2 and 3.... on and on for infinity.
This is exactly why you need zero and why you need to start from zero but is all fluff because any number is zero ie there is an equal amount of numbers after zero as there is after any other number.
This is why it is called "Number Theory" because even it is a theory that can't be proved yet we use it every day.
Originally posted by AgergI do generally try to avoid infinities but they sometimes crop up all on their own....
But if the slightly more cautious theist (=/= RJHinds and his ilk!) limits the set of things a god can do to be only those that are logically possible (i.e. no making rocks it can't lift) I don't see how you can force them to agree it must be of finite potency. But then if you allow this god to do infinitely many things I don't envy the guy who tries to rigoro ...[text shortened]... ical probability lecturer once told me 2 years ago - don't mess with infinity, it's toxic!
I also have a pathological aversion to singularities.... This is a common trait in physics ;-)
Originally posted by tomtom232no 0 is definitely the middle of the number line.
Oh I love logic.
What is the middle of infinity? It can be anywhere along an infinite line can't it?
We can pick a point and call it zero and this is now the middle but since any point can be the middle then 1 is also the middle and so is 2 and 3.... on and on for infinity. This is exactly why you need zero and why you need to start from zero ...[text shortened]... "Number Theory" because even it is a theory that can't be proved yet we use it every day.
For every positive number on one side you can subtract its opposite number on the other.
this works for no number other than 0.
EDIT: and oh dear did you just us 'it's just a theory' on maths?
You really need to go learn some stuff.
Originally posted by googlefudgeNo, that is because we call that point zero. If we combine a number that is -15 away from 1 with a number that is +15 away from 1 we end up with what? 1!!!!!!!!! Yahoooooo!!!!! those numbers have an absolute value compared to 1 that is equal
no 0 is definitely the middle of the number line.
For every positive number on one side you can subtract its opposite number on the other.
this works for no number other than 0.
EDIT: and oh dear did you just us 'it's just a theory' on maths?
You really need to go learn some stuff.
No matter what, you will believe what you will no matter how much nonsense it is.
Originally posted by tomtom232For the number systems we're talking about here; zero, a number (arguably as important as one), the unique identity under +, is the point of symmetry - that's as good reason as any to say it lies in the middle.
Oh I love logic.
What is the middle of infinity? It can be anywhere along an infinite line can't it?
We can pick a point and call it zero and this is now the middle but since any point can be the middle then 1 is also the middle and so is 2 and 3.... on and on for infinity.
This is exactly why you need zero and why you need to start from z ...[text shortened]... ed "Number Theory" because even it is a theory that can't be proved yet we use it every day.
Originally posted by AgergThe concept zero is more important than 1 because you need something that defies your rules to have those rules. You can't escape that. Numbers rely on numbers to be numbers.
For the number systems we're talking about here; zero, a number (arguably as important as one), is the point of symmetry - that's a good reason to say it lies in the middle.
Numbers don't define anything but numbers.
Originally posted by AgergOk. You pick a point on an infinite line and call it zero and I'll pick a different point on an infinite line and call it zero.
For the number systems we're talking about here; zero, a number (arguably as important as one), is the point of symmetry - that's a good reason to say it lies in the middle.
Prove that your point is zero and mine is not.
Originally posted by tomtom232The number -15 away from 1 is (1-15=-14) the number +15 from 1 is (1+15=16)
No, that is because we call that point zero. If we combine a number that is -15 away from 1 with a number that is +15 away from 1 we end up with what? 1!!!!!!!!! Yahoooooo!!!!! those numbers have an absolute value compared to 1 that is equal
No matter what, you will believe what you will no matter how much nonsense it is.
-14+16=2
2=/=1
No matter what, you will believe what you will no matter how much nonsense it is.
Originally posted by tomtom232You're free to walk as far up a number line as you want but once you choose which point shall be your identity under +, you have fixed the unique point of symmetry. If I come along later and insist it's another point well tough doo-doo to me, it's already been defined.
Ok. You pick a point on an infinite line and call it zero and I'll pick a different point on an infinite line and call it zero.
Prove that your point is zero and mine is not.
Originally posted by googlefudgeI knew you would do this... it just proves the nonsense. So I can start at 1 and you can start at 1 we'll call 1 Agerg. You move +15 and I move -15 so that we are equal distance away from Agerg. Now as you said combine these numbers and they equal 2, yes? Now say that 2 is karoly.
The number -15 away from 1 is (1-15=-14) the number +15 from 1 is (1+15=16)
-14+16=2
2=/=1
No matter what, you will believe what you will no matter how much nonsense it is.
Now we all take a step to the left so that Agerg is now 0 you are now 15 and I am now -15 and karoly is now 1
When you combine these new numbers they magically equal Agerg instead of karoly... they shouldn't have equaled karoly in the first place because we were equal distance from Agerg... he was the middle to our line segment and thus by definition should have already been zero but he wasn't... he was one.
Originally posted by tomtom232What???
I knew you would do this... it just proves the nonsense. So I can start at 1 and you can start at 1 we'll call 1 Agerg. You move +15 and I move -15 so that we are equal distance away from Agerg. Now as you said combine these numbers and they equal 2, yes? Now say that 2 is karoly.
Now we all take a step to the left so that Agerg is now 0 and you combine these new numbers and they magically equal Agerg instead instead of karoly.
This is literally nonsense.
You have no clue what you are talking about.
Originally posted by AgergWe picked the point at the exact same instant. Prove your point is zero and mine is not.
You're free to walk as far up a number line as you want but once you choose which point shall be your identity under +, you have fixed the unique point of symmetry. If I come along later and insist it's another point well tough doo-doo to me, it's already been defined.