Sentence examples for auxiliary assumptions from inspiring English sources

Key terms are poorly defined, auxiliary assumptions abound, and the literature I'm familiar with that is cited as authoritative is, well, not good.

It was these auxiliary assumptions that were tested and eliminated as alternative explanations by subsequent experiments.

Shapiro reminds us of the crucial role that auxiliary assumptions play in hypothesis testing generally (within a broadly hypothetico-deductive model), and considers a collection of explicit auxiliary assumptions that might be implicitly used to establish a multiple realization hypothesis.

The Hole Argument against substantivalism purports to show that, given some auxiliary assumptions, substantivalism illicitly requires the truth of indeterminism.

The answer is presumed to lie in different levels of complication amongst the relationships between auxiliary assumptions and phenomena.

But we can only draw these conclusions by making use of some auxiliary assumptions, some of which are far from obvious.

One auxiliary assumption one may question is the traditional link between quantification and existence.

(Shapiro remarks that this auxiliary assumption seems best to capture the sense of multiple realization stressed by proponents of the standard argument).

In the above Newton example one would have to use the auxiliary assumption that the trajectories of the particles are twice differentiable and that other forces except the gravitational forces can be neglected.

For example, ∃E tells us that if in the process of constructing a proof one has already derived ∃xα(x) and also β with α(a/x) as an auxiliary assumption then the inference to β is allowed.

And, again, this is as it should be, in line with Nicod's mention of "the absence of \(G\) [here, non-black as evidence] in a case of \(F\) [here, raven as an auxiliary assumption]".