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Learning math isn't just about solving problems. It's about solving problems in ways that other people can follow, evaluate, and understand. Since nearly no one
by canjobear 5y ago
Learning math isn't just about solving problems. It's about solving problems in ways that other people can follow, evaluate, and understand. Since nearly no one knows nonstandard analysis, but most people with college mathematics know standard calculus, there is much less utility in learning nonstandard analysis. It might make it easier for you to solve certain problems, but no one will understand what you did.
- ibeckermayer 5y agoThe true telos of a mathematics education is gaining a genuine understanding of the principles of mathematics. Pragmatic concerns of the nature you describe should be treated as secondary concerns in an educational environment.
- billytetrud 5y agoIf we just do what our ancestors did because its what everyone already understand, we'd never improve.