Sidhe wrote: Wonderer wrote:the problem is that when i visualize it it actually doesn't equal 1 at the "infinith" decimal place, it equals "infinitely close to but less than 1"

in reality numbers don;t function with an infinite amount of decimal places.

pragmatically we forget about teh imprecision that comes along with .333 because we can simply add another 3 to make it more precise.

but no matter how many 3's we add, even an infinite number of them, the precision is still there

Oh well I tried, your inability to comprehend infinity is of course, the problem. How can you.

haha, why don't you teach me?

Sidhe wrote:

One has to accept though if we look at a graph as far as we can before we die of old age that it is approaching 1, we have to assume given infinity that eventually as infinity is unbound it will be 1.

what?

if the pattern keeps getting closer to 1, but never reaches 1, why would you assume it reaches 1 eventually?

Sidhe wrote: That's an axiom of maths, and a problem with encompassing infinity without our brains leaking out of our ears.

Infinity is extremely useful as it provides key proofs to the value of numbers by suggesting what happens at the infinite limit.

either that or infinitesimally small numbers don't affect theoretical numbers in reality.

believe it or not i find it incredibly easy to understand this problem. i understand the way everyone else perceives it, and then i also understand it on a level i seem to be unable to communicate.

let's put it this way, in our reality, infinity isn;t good enough. if you added infinite 3's, you still need to add more. (infinity has a way of being imprecise)

what is infinity minus infinity?

what is 1 + infinity - infinity?

1/3 simply cannot exist as a decimal value without losing precision. i can understand what the number approaches, just don;t go assuming it will achieve a round value because we can see what it approaches.

you might as well say pie terminates.

Whatever makes you happy.