true
Yes, if the step-by-step argument in the induction is logically valid.
Prove it using deduction._______First you prove, that every permutation is a product of non-intercepting cycles, which are a prduct of transpsitions
I don't know what you mean by solving logical deduction. Do you mean how do you tell, given an allegedly logical deduction, whether it really is logical? Or do you mean, given a theorem, how do you logically prove it, that is, prove that it logically follows from the axioms? The last question is very complicated. Some theorems have taken centuries to prove (like Fermat's last theorem and the independence of Euclid's Parallel Postulate), and some have not yet been proven, like the Goldbach conjecture and Riemann's hypothesis. The first question is much simpler, but to describe exactly how to verify the validity of a deduction, we would need to know what kind of deduction it is. For example, a deduction involving only logical connectives like and, or, if-then, not can be verified with a truth table. Those involving quantification or non-logical symbols like set membership require looking at the proof and seeing that each step can be justified on the basis of the axioms of the system, whether it is the system of Euclidean Geometry, of the field of real numbers, or of Zermelo-Frankel Set Theory, etc.
A direct proof in geometry is a proof where you begin with a true hypothesis and prove that a conclusion is true.
Pythagoras was a teacher, but he also was the first to prove Pythagorean math correct
False
False. There are several methods.
False
Yes you can, provided all the requirements of the induction process are satisfied.
Yes, if the step-by-step argument in the induction is logically valid.
True or false? You can rely solely upon induction to prove that your conclusion is correct.
The answer is True, trust me, so many people said it was false and I got it wrong . Itβs true on APEX
False
it is important to write a conclusion to prove a hypothesis because then you have no evidence if your hypothesis was tested or correct or not. from Rezwan Haque I.S.204 Academy Harvord. class 620
A scientific hypothesis must be testable and falsifiable in order for it to be valid.
A theory
Prove it using deduction._______First you prove, that every permutation is a product of non-intercepting cycles, which are a prduct of transpsitions