Infinite Trees Are Super Weird - Vi Hart

You can't, even in theory, list all numbers. That doesn't stop Vi Hart from trying and seeing what the mathematical consequences are.
Zawashsays...

I thought it was clear-cut, but there appears to be some debate:
"Whether mathematics itself is properly classified as science has been a matter of some debate. Some thinkers see mathematicians as scientists, regarding physical experiments as inessential or mathematical proofs as equivalent to experiments. Others do not see mathematics as a science, since it does not require an experimental test of its theories and hypotheses. Mathematical theorems and formulas are obtained by logical derivations which presume axiomatic systems, rather than the combination of empirical observation and logical reasoning that has come to be known as the scientific method. In general, mathematics is classified as formal science, while natural and social sciences are classified as empirical sciences."
More on the subject here.

messengersaid:

-science (not about science)

messengersays...

Thanks.

Learn something every day.

Zawashsaid:

I thought it was clear-cut, but there appears to be some debate:
"Whether mathematics itself is properly classified as science has been a matter of some debate. Some thinkers see mathematicians as scientists, regarding physical experiments as inessential or mathematical proofs as equivalent to experiments. Others do not see mathematics as a science, since it does not require an experimental test of its theories and hypotheses. Mathematical theorems and formulas are obtained by logical derivations which presume axiomatic systems, rather than the combination of empirical observation and logical reasoning that has come to be known as the scientific method. In general, mathematics is classified as formal science, while natural and social sciences are classified as empirical sciences."
More on the subject here.

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