**Mathematics** is an ambiguous way to

prove or disprove ideal behaviors of

objects.

/// An '`open`

story of counting', it must be said that **mathematical** methodology is a cumulative effort (ie. rigorously `built`

atop previous checks).
As a

library* for synthesizing

functions,

**mathematicians** use its

models to formulate

(computability) theories/

theorems/

identities/

errata.

We acknowledge the so-called 'Big Five (5)' active areas in **mathematics** to be [1-5 labeled alphabetically]: algebra [1], analysis [2], arithmetic [3], geometry [4], and music [5]. As far as I am concerned, the basis of **math** is `juking`

. (see also

mathemusic,

mathletics,

recreational mathematics,

mathematical model,

*Mathilda*, ๐

*So, you want to be a ***mathematician**?,

*The Mathemagician*,

*Opus Solve*,

physics,

information science,

game,

cryptosport)

"The essence of **mathematics** is not proof, but conjecture." - ๐ง๐ฟLink Starbur*ei*y

/// +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*. A *mathematician* is someone who advances `classical`

**mathematics**.

+In my line of work, I think of so-called '**recreational mathematics**' as a `type`

of (among other considerations) reverse engineering, where we are re-creating known structures/models for study and understanding. As an example, in `๐งฉpuzzle solving`

, I may take a known and `solved`

(from means other than `juking`

) macromolecule (eg. protein), and `juke`

that `fibor`

so that it can identified+`databased`

. (see also Pajamas)

+**Mathematics** is a `type`

of *low*-technology, as well as being its own industry.
----------

#LEGEND

math.AG (algebraic geometry), math.AT (algebraic topology), math.AP (analysis of partial differential equations), math.CT (category theory), math.CA (classical analysis and ordinary differential equations), math.CO (combinatorics), math.AC (commutative algebra), math.CV (complex variables), math.DG (differential geometry), math.DS (dynamical systems), math.FA (functional analysis), math.GM (general mathematics), math.GN (general topology), math.GT (geometric topology), math.GR (group theory), math.HO (history and overview), math.IT (information theory), math.KT (k-theory and homology), math.LO (logic), math.MP (mathematical physics), math.MG (metic geometry), math.NT (number theory), math.NA (numerical analysis), math.OA (operator algebras), math.OC (optimization and control), math.PR (probability), math.QA (quantum algebra), math.RT (representation theory), math.RA (rings and algebras), math.SP (spectral theory), math.ST (statistics theory), math.SG (symplectic geometry)