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
  1. 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
  2. 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
  1. Add summary subsection for mathematics education
  2. 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
  3. Brief subsection for mathematicians as a subculture / in pop-culture?