theorem
Theorem
True
Theorem
A theorem is proven. An example is The "Pythagoras Theorem" that proved that for a right angled triangle a2 + b2 = c2
False. It is proven to be true IF some axioms are assumed to be true. A mathematical statement can be proven to be true only after some axioms have been assumed.
a theorem and if your just typing in the question off your home work that's called cheating you dumb A S S
True. Euclid showed that more complex geometry could be described and proven deductively from a few simple principles.
deductively
true
Proofs exist only in mathematics and logic, not in science. Mathematics and logic are both closed, self-contained systems of propositions, whereas science is empirical and deals with nature as it exists. The primary criterion and standard of evaluation of scientific theory is evidence, not proof. All else equal (such as internal logical consistency and parsimony), scientists prefer theories for which there is more and better evidence to theories for which there is less and worse evidence. Proofs are not the currency of science. Proofs have two features that do not exist in science: They are final, and they are binary. Once a theorem is proven, it will forever be true and there will be nothing in the future that will threaten its status as a proven theorem (unless a flaw is discovered in the proof). Apart from a discovery of an error, a proven theorem will forever and always be a proven theorem.
theorem
theorem