Real - 12/03/14

Tell me something I don't know
and sow a seed
of curiosity
that blooms divergently,
with no natural number
such that all subsequent
fall inside of an epsilon neighborhood.

Tell me something I don't know
about the intricacies
of continuity
and how to prove conclusively
when a sequence converges
to an element of the domain
and the function does the same.

Tell me something I don't know
and, soon enough, I will.

Tell me something I've always known,
something I've grown up using,
and accepting,
never expecting to have it
called into question
while reflecting on what
we'll consider axiomatic
and what we'll demand a proof of.

Tell me something I've always known
and throw away one of the premises
to watch how the truth
changes with changing mathematics
and, while you're at it,
reality changes too.

Tell me something I've always known
and let me prove it.