Actually, we only need to prove that the proposition satisfies all the conditions in Lemma 1, then the proposition is established based on the lemma.
Furthermore, as already suggested (Sections 4 & 5 above), models of faith as knowledge or belief fail to provide non-circular conditions sufficient for entitlement, unless the truth of faith-propositions is established by independent argument and evidence.
The validity of the following five propositions can be established in a similar manner as in the proof of Theorem 4.1.
In contrast, non-generative theories of scientific method such as the one proposed by Huygens assumed that propositions must be established by comparing their consequences with observed and experimentally produced phenomena.
Then the constant C 0 on the right-hand side of Carleman estimate (2.11) for the operator ∂ t − ∂ x ( k l, ε ∂ x ) and the constants s 0 and λ 0 can be chosen uniformly with respect to ε for 0 < ε ≤ ε 0 ≤ k l, min. The proof of Proposition (3.1) is established through the following lemmata.
Generative theories of scientific method assume that propositions can only be established and secured by showing that they follow from observed and experimentally produced phenomena.
In [17, Theorem 1] and [18, Proposition 5], it was established that the predual space of is.
One can show, as a general point, that happiness consists in exercising some skills or other, but that the moral skills of a virtuous person are what one needs is not a proposition that can be established on the basis of argument.
Granted, then, that a system of philosophy must begin with a single, immediately certain, synthetic first proposition or "grounding principle": where might one turn in order to discover and to recognize the first principle in question, a proposition that alone can serve as the foundation or "ground" of all other philosophical propositions and cannot itself be established by any argument?
The term "evidence" can, secondly, refer to a proposition of fact that is established by evidence in the first sense.[4] This is sometimes called an "evidential fact".
