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How hard is chemistry if you are good at algebra?
After my opinion it is not true: if you are good at mathematics you must be good at chemistry and physics.
What is proof by induction?
Mathematical induction is just a way of proving a statement to be true for all positive integers: prove the statement to be true about 1; then assume it to be true for a generic integer x, and prove it to be true for x + 1; it therefore must be true for all positive integers.
What describes the meaning of the statement If A then B?
This describes one kind of statement that can appear in a logical syllogism or argument. If a given argument A is true, then it follows that argument B must be true. It does not automatically follow that if B is true, then A must be true.'All living humans are breathing animals' is true. [If you are a living human (A) you breathe (B).'All breathing animals are therefore human' is not true. [If you breathe (B) you are a living human (A).
Is it true that much of what is still taught today in geometry came from Euclid?
Yes.
What is a true statement about Neoclassical painting?
It inspired patriotism and taught moral values.
