(July 6, 2015 at 3:33 am)Alex K Wrote:(July 6, 2015 at 1:33 am)pool Wrote: @Pyrhho,
Lets say i confine n to be less than infinity.
Wouldn't n still be big enough for 1/n to be negligible?
i.e. 1/n seconds before the present time is the past.
Which would tell me that Past=Present and Present=Past.Which makes me think that past is nothing but another word that describes present itself.
I'm confused? ; _ ;
If we think of the timeline as the real numbers for now, and as you do above, we define the present as an isolated single point on that, say 0 for simplicity, then the past (negative numbers) and future (positive numbers) reach arbitrarily close to this point, but that doesn't mean the point is part of the present or future.
The fact that you have constructed a progression 1/n where the individual elements all are an element of the future, but the limiting value is the point you call "present", mathematically speaking does *not* show or mean that the "present" point is an element of the future. It only means that the present point is arbitrarily close to points in the future - there is no gap.
The technical term would be that 0 is in the closure of the set R\0, (i.e. real numbers with 0 removed). It's an element of the closure of the set, not of the set itself.
what I'm saying is standard calculus on real numbers.
What you are saying^
What i see: ldafijadf*$%*(dfjkdflkadf
So basically i'm wrong?