Welcome to math tutor online for free,
Math in itself is not intrinsically connected to the real world. It is
possible, and perfectly okay, to develop a mathematical system that
doesn't relate to anything in the real world. online math forum; It is, as you say,
necessary to have "undefined terms" describing entities in the system,
and "postulates" (unproven facts relating those entities).
But these
are not so much matters of faith as "rules of the game." They are
rules that we must adhere to if we are going to prove theorems within
the particular mathematical system. read more on math forum.
Math in itself is not intrinsically connected to the real world. It is
possible, and perfectly okay, to develop a mathematical system that
doesn't relate to anything in the real world. online math forum; It is, as you say,
necessary to have "undefined terms" describing entities in the system,
and "postulates" (unproven facts relating those entities).
But these
are not so much matters of faith as "rules of the game." They are
rules that we must adhere to if we are going to prove theorems within
the particular mathematical system. read more on math forum.
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