Surprisingly, modified versions of the confirmation theory (Carnap and Hempel) and truth approximation theory (Popper) turn out to be smoothly sythesizable.
We note, however, that the RB methods do not replace, but rather build upon and are measured - as regards accuracy - relative to, a finite element model: the reduced basis approximates not the exact solution but rather a 'given' finite element discretization of (typically) very large dimension N, indicated as a high-fidelity truth approximation.
It is widely used for coping with the tolerant of imprecision, uncertainty, partial truth, and approximation.
Unlike hard computing, soft computing is tolerant of imprecision, uncertainty, partial truth, and approximations.
According to such opinions, science develops by the addition of new truths to the stock of old truths, or the increasing approximation of theories to the truth, and in the odd case, the correction of past errors.
Triangulation: using different methods, sources and disciplines, and a range of informants in a range of places and cross checking to get closer to the truth through successive approximations.
If we take the time for respectful discourse, information and opinion can be shared, and who knows, maybe even some approximation of truth can be found.
Science is not truth; it's an approximation of truth.
And the approximation of truth, the presentation is everything.
But reproducibility, scrutiny from other scientists, the drive for new knowledge, the glory of overturning orthodoxy, all drive science to a better understanding of an objective truth or our best approximation of it; this method of understanding the world is inherently incompatible with faith.
As Director of National Intelligence James Clapper has made clear, however, any official offering such public testimony can at least endeavor to speak in "the least untruthful manner" possible; that is, in the nearest approximation of truth that remains unclassified in the post-9/11 era.
