mathematics is a discipline

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mathematics is a discipline that seeks understanding
of the patterns and structures of constructs of the human mind.
Understanding has no end to its depth, and mathematics seeks
the highest standards of understanding by demanding rigor in its
foundations and in its development. Rigor is achieved by responsible
attention to the principles of logic.

In a strict sense, mathematics differs from science, if we accept
that science is the discipline that seeks understanding of the
physical world by means of the scientific method. (The scientific
method is the procedure by which hypotheses are proposed and subjected
to experiments designed to expose weaknesses in the hypotheses.)
The reason mathematics differs from this is because mathematics does
not, in a pure sense, attempt to describe the physical world.
Mathematical theorems are not tested against nature, but against
logic. more explanation in math forum.