25 degrees West
True
False. In theory there were many fronts.
"Mathematical induction" is a misleading name. Ordinarily, "induction" means observing that something is true in all known examples and concluding that it is always true. A famous example is "all swans are white", which was believed true for a long time. Eventually black swans were discovered in Australia. Mathematical induction is quite different. The principle of mathematical induction says that: * if some statement S(n) about a number is true for the number 1, and * the conditional statement S(k) true implies S(k+1) true, for each k then S(n) is true for all n. (You can start with 0 instead of 1 if appropriate.) This principle is a theorem of set theory. It can be used in deduction like any other theorem. The principle of definition by mathematical induction (as in the definition of the factorial function) is also a theorem of set theory. Although it is true that mathematical induction is a theorem of set theory, it is more true in spirit to say that it is built into the foundations of mathematics as a fundamental deductive principle. In set theory the Axiom of Infinity essentially contains the principle of mathematical induction. My reference for set theory as a foundation for mathematics is the classic text "Naive Set Theory" by Paul Halmos. Warning: This is an advanced book, despite the title. Set theory at this level really only makes sense after several years of college/university mathematics study.
Blacks and whites did not have equal rights.
Cape Agulhas lies just to the East of Cape Point. It is the southern most point of Africa. That's all true and fine! But it has nothing to do with the cape that is the famous Cape Peninsula!
You create a theory. Prove the theory to be true by testing it. If it works, it is true. If it does not work, it is not true.
yes
observation proved the theory true.
Since it was still a theory, there are still no comcrete facts that it is true.
Conspiracy trues are not true; they are the beliefs of madmen, crooks, sectants. And, if rarely an example of this theory is true is only a coincidence.
NO, that is absolutely NOT true - the Eastern Block were all part of the Soviet Empire
true
Theory
In science, the word "theory" is USUALLY used for well-established theoretical frameworks, that are generally accepted as being true. This is the case with the theory on protoplanets - it is generally held to be true.
That's true. A theory es exactly that - theory... Results from experimentation can prove or disprove a theory.
True.