- #1

ForMyThunder

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I don't know that much mathematics. I'm just saying. It seems to me that nowadays, every branch of mathematics has been accounted for. Forming a basis are things like geometry, topology, algebra, analysis, etc. Then you mix all these together and you come up with algebraic topology, algebraic geometry, analytical geometry, etc. But I guess you can dump these into a pot and just swirl 'em around and you get things like differential algebraic geometry, or differential geometric topology, or differential algebraic geometric topological number theory... which probably mean nothing at all. These subjects all seem to be building on top of one another.

Will there ever be another point in the history of mathematics where another fundamental branch is created? Sort of like when Newton invented Calculus or Galois did his thing.

Do you think we will ever reach a point in human history where we have "figured mathematics out"? I don't mean to ask if there is a TOE of mathematics but just a point in mathematics where any further speculation on a topic gives nothing new or insightful?