} end{aligned}To establish Proposition 1.1, it suffices to prove.
Using the standard method in [20], one can easily establish Proposition 5.2, hence we omit its proof here.
We can now readily establish Proposition 1.
Dialectical refutation cannot of itself establish any proposition (except perhaps the proposition that some set of propositions is inconsistent).
One question is this: do medieval thinkers, in practice, establish causal propositions on the basis of argument?
For Rand, neither is possible: while the senses provide the raw material of knowledge, conceptual processing is needed to establish knowable propositions.
Later, Brouwer pointed out the following consequence of the validity of ¬¬¬A ⇔ ¬A: the proof method of reductio ad absurdum, which is not generally correct (not "reliable") intuitionistically, can be used to establish negative propositions ¬A (Brouwer 1929A, 163)/(Mancosu 1998, 52).
An argument is a connected series of statements intended to establish a proposition.
"To establish the proposition that railroads substantially altered the course of economic growth," Fogel wrote, "one must do more than provide information on the services of railroads.
"We want to establish the proposition that for innovation and development on a global scale, Israel is a safe bet," said Sharona Justman, managing director of Step Strategy Advisors, a consultant group with offices in Los Angeles, London and Tel Aviv, and an chief organizer of the conference.
To establish the proposition, Newton derived an approximate measure for the force by using small lines defined in terms of the radius (the line from the force centre to the particle) and the tangent to the curve at a point.
