最終更新日:2022/12/24
I suspect that in their hearts most working mathematicians are Platonists, in that they take it as a matter of unassailable if unprovable fact that mathematical reality stands apart from the world, and is at least as real as the world, and possibly gives shape to the world, as Plato suggested. Most mathematicians would probably agree that the ratio of the circle to its diameter exists brilliantly in the nature beyond nature, and would exist even if the human mind was not aware of it, and might exist even if God had not bothered to create it.
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I
suspect
that
in
their
hearts
most
working
mathematicians
are
Platonists,
in
that
they
take
it
as
a
matter
of
unassailable
if
unprovable
fact
that
mathematical
reality
stands
apart
from
the
world,
and
is
at
least
as
real
as
the
world,
and
possibly
gives
shape
to
the
world,
as
Plato
suggested.
Most
mathematicians
would
probably
agree
that
the
ratio
of
the
circle
to
its
diameter
exists
brilliantly
in
the
nature
beyond
nature,
and
would
exist
even
if
the
human
mind
was
not
aware
of
it,
and
might
exist
even
if
God
had
not
bothered
to
create
it.