ekm2

Coding is a tool for thinking in general.The fact that claude is accomplishing task X does not imply that you should retire you own thinking.

It is because it is populous that it does not have space for foreigners?

A better question would have been..who would you consider a formidable rival?

It is easy to understand the equations if you have physical intuition of what is going on.Then derive from first principles.Memorizing formulas is the key to failing advance math.

Are you saying that because they end with "Algebra"?You can get an A+ in basic Algebra and have no clue about Abstract Algebra.It is the chain of reasoning rather than the mindless manipulation present in baby Algebra.

Geometry is fundamental to physics and chemistry,not Algebra.Look at the thinking style,not the content.

Analytical geometry underlies calculus,not Algebra.And combinatorics is a completely different arm of the two cultures of mathematics.Also Geometry was fine before Rene Descartes messed it up with Algebra and then we christened it Analytical Geometry.The method of exhaustion,amply developed by Archimedes with zero Algebra is the basis of intergration.It is because we start out with differentiation that we think Algebra is super important.Tom Apostol comes close in his calculus textbook when he actually starts with intergration.

A compromise would be to have two streams:The left-brained folks should follow the Algebra ->Geometry->Calculus track;the right-brained folks should have a Combinatorics ->Geometry ->Calculus track.

Yes.

Substitute Algebra with Combinatorics and you will be fine.I do not understand this Algebra worship.Speaking as someone who graduated magna cum laude in in College Math.

How does that relate to AI?