>>13533724>>13533737ok, let me clarify. for the sequence 1/n for any arbitrairily large n, the expression only equates to 0 for n= infinity. however infinity is not a number, it is a concept. this works in a purely mathematical context and so therefore we say it is equal to zero, but in actuality for any real number n there always exists some arbitrarily larger number. this leads to the concept of the arbitrarily small but nonzero number epsilon. this distinction is subtle and largely ignored in the context of most pure mathematics, but is incredibly important for questions like the one posed in the OP where we are discussing the concept of an "instant" in time.
OPs conjecture is valid if we accept that such a concept of an "instant" has a timespan of 0 as implied by the argument the other anon was making about the limit of the sequence 1/n.
this is not true however since for any arbitrarily small span of time we can consider another arbitrarily smaller span of time, hence the duration of an "instant" in time is not 0, it must be epsilon.
