Enumerative

Months, years, and entire character transformations are dispatched in a few enumerative sentences. ❋ Unknown (2009)

(To what extent enumerative induction plays a role in the discovery of new hypotheses, or in the choice of what open problems mathematicians decide to work on, is a separate issue which has not been addressed here.) ❋ Baker, Alan (2009)

The graph suggests that the hardest test cases for GC.are likely to occur among the smallest numbers; hence the inductive sample for GC.is biased, but it is biased against the chances of GC. Mathematicians 'confidence in the truth of GC.is not based purely on enumerative induction. ❋ Baker, Alan (2009)

One distinctive feature of the mathematical case which may make a difference to the justificatory power of enumerative induction is the importance of order. ❋ Baker, Alan (2009)

A case of sleeping sickness studied by precise enumerative methods: Further observations. ❋ Carl Zimmer (2009)

It would seem to follow from this principle that enumerative induction is unjustified, since we should not expect (finite) samples from the totality of natural numbers to be indicative of universal properties. ❋ Baker, Alan (2009)

So it is possible to argue that enumerative induction is unjustified while simultaneously agreeing that mathematicians are rational to believe GC on the basis of the available evidence. ❋ Baker, Alan (2009)

As Frege's remarks suggest, one way to underpin an argument against the use of enumerative induction in mathematics is via some sort of non-uniformity principle: in the absence of proof, we should not expect numbers (in general) to share any interesting properties. ❋ Baker, Alan (2009)

Many less theoretical instances of inductive reasoning also fail to be captured by enumerative induction. ❋ Hawthorne, James (2008)

The point is that a full account of inductive logic should not be limited to enumerative induction, but should also explicate the logic of hypothetical reasoning through which hypotheses and theories are tested on the basis of their predictions about specific observations. ❋ Hawthorne, James (2008)

There is thus an interplay as it were between eliminative and enumerative methods, with inferences at the specific level providing support for generic-level inferences, and the latter in turn providing support for specific-level inferences. ❋ Wilson, Fred (2007)

Here there are not a variety of alternatives to be eliminated, and the rule of enumerative induction turns out to be more reliable than at the specific level: we have regularly been successful in finding causes at the specific level and this provides grounds for accepting the generic claim, the law about laws, that for all events there are causes to be discovered. ❋ Wilson, Fred (2007)

First, given that accepting that something is inexplicable is generally a philosophical last resort, and granting the importance of extensional adequacy, list-like or enumerative definitions are if possible to be avoided. ❋ Adajian, Thomas (2007)

Of course, if the class of artworks is an arbitrary one, lacking any genuine unity, then enumerative definitions cannot be faulted for being uninformative: they do all the explaining that it is possible to do, because they capture all the unity that there is to capture. ❋ Adajian, Thomas (2007)

Because of the variety of possible factors at the specific level, the eliminative methods lead to judgments that are more secure than the judgements which mere enumerative judgments would yield. ❋ Wilson, Fred (2007)

Mill can accept the point about the consilience of inductions, given what he argues about the interplay of enumerative and eliminative reasoning. ❋ Wilson, Fred (2007)

The simple, enumerative, inductive account attributed to Hume's in ˜On Miracles™ is only one kind of ❋ Adler, Jonathan (2006)

Enums in c# enum [Direction] { Up, Down, [Left], [Right] } ❋ Kratos_RoG (2022)