When is a rigour-first approach generally ideal…
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When is a rigour-first approach generally ideal?
Specifically, when learning a new area of mathematics, when might it be wise to approach it with rigorous proofs/justification as a main priority? There seems to be an emphasis on learning an informal, generally computational approach some subjects \_before\_ a formal approach, but I am not convinced this is necessarily ideal. Additionally, have any of you found that a formal approach significantly assists computational skills where relevant? Any perspectives are welcome.
#science
Specifically, when learning a new area of mathematics, when might it be wise to approach it with rigorous proofs/justification as a main priority? There seems to be an emphasis on learning an informal, generally computational approach some subjects \_before\_ a formal approach, but I am not convinced this is necessarily ideal. Additionally, have any of you found that a formal approach significantly assists computational skills where relevant? Any perspectives are welcome.
#science
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