0.9999.... = 1.0

[Netyaroze]

drkohler said:

Netyaroze said:

Yes I saw the argument and its correct. Its practically 1. Still there is one thing in nature that reflects that it will never be 1. Eventhough getting arbitrarily close means that they're equal mathematically speaking.

 

Lightspeed can never be reached for objects with mass, you can get arbitrarily close but it will never be lightspeed no matter what you do. So 0.9999..c is c in mathematics but in real life everything becomes nothing if that were to happen. Humans can not understand infinities math breaks down too the more we get to a singularity/infinity.  

No. Just no. Just because you have to write 9s until you die/run out of pens/out of money/out of paper, 0.(period)9 IS EXACTLY 1. there is no "getting arbitrarily close". Any PARTIAL sum of the geometrical series is getting close to 1, howerver,  0.(period)9 IS EXACTLY 1.

In the case of infinite convergent series, we fully "understand" infinity and math does not "get into a singularity" - this is Star Trek speak, not math speak.

Yes as I said mathematically speaking you are right. But in reallity its not 1 as I showed that 0.(period)9 c is not c in real life because its impossible to reach. And math can try to describe infinities but there is no real life proof what really happens its a theoretical construct.

 

Or are you telling me the only way to look at it is the mathematical one ? Math could describe the world but at a certain point it makes no sense in real life terms.