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- In an inductive argument a long list of premises is presented whose truths are considered to be apparent to all, each of which provides evidence that the desired conclusion is true.
Apr 18, 2014 · When learning mathematics, it's useful to prove "obvious" results in addition to "non-obvious" ones because: you "know" they're true before you start, which can save some frustration. the ease or difficulty of proving the obvious teaches you something interesting about the area you're working in.
- soft question - When is something "obvious"? - Mathematics ...
Since individuals differ in mathematical ability, the answer...
- soft question - When is something "obvious"? - Mathematics ...
Since individuals differ in mathematical ability, the answer is that "something" is never obvious to everyone or to yourself. The crux of the joke is that it was only obvious to the professor after reflection , which is deliberate irony since there would be no point in reflecting if something were explicitly obvious.
There are several well-known mathematical statements that are 'obvious' but false (such as the negation of the Banach--Tarski theorem). There are plenty more that are 'obvious' and true. One would naturally expect a statement in the latter category to be easy to prove -- and they usually are.
May 5, 2011 · As Eric Temple Bell said, “‘Obvious’ is the most dangerous word in mathematics.” That being the case, it is often true that we have trouble proving statements that seem self-evident.
What Does \Obvious" Mean in Mathematics? (and why do we have to prove things?) Bruce Blackadar. January 2015. \ `Obvious' is the most dangerous word in mathematics." E. T. Bell. \Since people have tried to prove obvious propositions, they have discovered that many of them are false." Bertrand Russell.
Aug 15, 2016 · So if you want to make sure a statement is true, no matter how obvious it seems, you either need to prove it as a result of things you already know, or you need to take it as an axiom.
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A mathematical proposition that has been proved to be true is called a Theorem. There are other words that are sometimes used for proved mathematical propositions: The word corollary is generally used to refer to a a proved mathematical proposition that is deduced as an easy consequence of a previously proved theorem.
