An indirect proof of that are numerous artifacts found during the excavation works of the town ceramic materials, various instruments for stone processing, wood processing and metal processing.
12.
In contrast, an indirect proof may begin with certain hypothetical scenarios and then proceed to eliminate the uncertainties in each of these scenarios until an inescapable conclusion is forced.
13.
I think the danger of the case is to what extent in a free society an individual can be detained as if he were a terrorist without actual direct or indirect proof,
14.
This latter premise is subject to attack by indirect proof using arguments such as " Suppose two ships are built using the same design and exist at the same time until one sinks the other in battle.
15.
Moreover, at the end of each title's description, there is a list of direct and indirect proofs of each title's legitimacy and authoritative documentation, emphasising the Primary source and moving downards in terms of ( relative ) importance.
16.
Notably, Euler directly proved the power series expansions for and the inverse tangent function . ( Indirect proof via the inverse power series technique was given by Leibniz between 1670 and 1680 . ) His daring use of power series enabled him to solve the famous Basel problem in 1735 ( he provided a more elaborate argument in 1741 ):
17.
So, it's not exactly that you can prove that GREEN > BLUE has a sensible basis, but rather, that using an indirect proof that all of mathematics relies on ( ie, that if statement A isn't false, we're all screwed anyway ), we can prove that any statement A had better be false, and therefore is ( knock wood ).
18.
The three rules of the proofs of pure reason are : ( 1 ) consider the legitimacy of your principles, ( 2 ) each proposition can have only one proof because it is based on one concept and its general object, and ( 3 ) only direct proofs can be used, never indirect proofs ( e . g ., a proposition is true because its opposite is false ).
