Talk:Mathematics/to do


 * Improve references and inline citations throughout
 * Add distinct Introduction / Overview section?
 * Meant to be a very accessible segue
 * Can include Proposed definitions discussion
 * Maybe also Etymology from the history section?


 * Expand History section some
 * More about math outside direct Greek -> Islamic -> Modern lineage
 * A bit more on China, India, Japan, Pre-Columbian Mesoamerica
 * Note universality & ability for ideas to transplant
 * One or two sentences noting Hellenistic -> Byzantine -> Islamic continuity?


 * Expand on connection to philosophy and liberal arts
 * Probably want to keep it very brief
 * Maybe a subsection under History?
 * Suggestion: don't add a distinct philosophy of mathematics subsection
 * Has previously led to scope-creep; just mention & link-out instead


 * Add a section for mathematical technologies & tools
 * Could also include converse discussion of "abstract machines"
 * E.g. Archimedes' method, Carnot engine, Turing machine, etc.


 * Add brief discussion about number sense & numerical cognition
 * Also centralize discussion of other thought processes here?
 * E.g. abstraction, analysis, synthesis, pattern-recognition


 * Expand In society section further
 * Add summary subsection for mathematics education
 * Add subsection for collaboration & publication
 * Brief sketch of math in academia, including publication process
 * Also introduce examples / terms like Crelle's Journal, Nachlass, etc.
 * A lot can be exported to the mathematician article
 * Brief subsection for mathematicians as a subculture / in pop-culture?