Mathematics is the
design language for
proving ideal behaviors of
numbers.
Note (+): An 'open story of counting ', it must be said that mathematical methodology is a cumulative effort (ie. built atop previous checks).

As a
library for manipulating+synthesizing variables,
mathematicians use its
subfields* and
models to
solve puzzles+formulate
theories/
theorems/
identities.
We acknowledge the socalled 'Big Five (5)' active areas in mathematics to be: algebra, analysis, arithmetic, geometry, and music. As far as I am concerned, the basis of math is juking
. (see also
mathemusic,
mathletics,
recreational mathematics,
mathematical model,
Mathilda, 📓
So, you want to be a mathematician?,
The Mathemagician,
Opus Solve,
physics,
information science,
cryptosport)
"The essence of mathematics is not proof, but conjecture."  Link Starbureiy
Notes (+): +There are three (3) classes of mathematics: pure, applied, and recreational (pure,applied ∈ recreational). This definition covers all three (3), and may be referred to as polymathematics. Someone who advances the field can be called a mathematician.
+In my line of work, I think of socalled 'recreational mathematics' as a type of (among other considerations) reverse engineering, where we I am recreating known structures/models for study and understanding. As an example, in puzzle solving , I may take a known and solved (from means other than juking ) macromolecule (eg. protein), and juke that fibor so that it can databased. (see also Pajamas)
+Mathematics is a type of lowtechnology, as well as being its own industry.
