Continuous problems are simpler than discrete ones

This is a general philosophy that Ciro Santilli, and likely others, observes over and over.

Basically, continuity, or higher order conditions like differentiability seem to impose greater constraints on problems, which make them more solvable.

Some good examples of that:

complex discrete problems:
- classification of finite groups
simple continuous problems:
- characterization of Lie groups

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Continuous function
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Calculus
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Classification of simple Lie groups
Lie group