The research presented in the paper posted below feels right and correct. Perhaps a longitudinal study might uncover intriguing patterns that contribute to the groupings discussed by the authors. However, in my opinion, mathematics is essential for the future of this planet. The number of granted Ph.D. degrees in math is one of the better indicators of our progress. I also believe that it can be taught effectively. It requires a lot of dedication to make progress, but human brains have a natural ability for abstract thinking, logic, or mathematical calculations. Many educational systems are pretty successful. Perhaps mathematics will evolve or refocus in the direction discussed by Stephen #Wolfram in his monumental work: A New Kind of Science. It might also grow as a language for explaining #quantum #physics, quantum field theory, or the great unification of physical forces. It is also quite possible that new AI systems will take over theorem proving and provide a spark for the #technological #singularity.
#mathematics #education #abstractreasoning #naturemagazine #computationaldesign #computationalmathematics #science #artificialintelligence #future #research #innovation #quantumfileldtheory #education #newkindofscience
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