I think the cost is just a question of tradition what you find harder and the point author makes that it's easier to learn trough non-traditional way.
I see losing Archimedean property as more of a win than loss. It's a one simple thing that turns calculus operations into single algebraic evaluation, where you can avoid dynamic limits. Things become simpler and easier to prove.
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I think the cost is just a question of tradition what you find harder and the point author makes that it's easier to learn trough non-traditional way.
I see losing Archimedean property as more of a win than loss. It's a one simple thing that turns calculus operations into single algebraic evaluation, where you can avoid dynamic limits. Things become simpler and easier to prove.