Definitions
from The Century Dictionary.
 Serving to enumerate; counting; reckoning up.
from the GNU version of the Collaborative International Dictionary of English.
 adjective Counting, or reckoning up, one by one.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 adjective Of, pertaining to or based on
enumeration
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

Months, years, and entire character transformations are dispatched in a few enumerative sentences.

Months, years, and entire character transformations are dispatched in a few enumerative sentences.

(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.)

A case of sleeping sickness studied by precise enumerative methods: Further observations.

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.

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.

A case of sleeping sickness studied by precise enumerative methods: Further observations.

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.

A case of sleeping sickness studied by precise enumerative methods: Further observations.

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