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/Share-Alike License.

  • adjective Of, pertaining to or based on enumeration

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

enumerate +‎ -ive

Examples

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

    Mercy!

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

    Mercy!

  • (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.)

    Non-Deductive Methods in Mathematics

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

    Parasite Rex

  • 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.

    Non-Deductive Methods in Mathematics

  • 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.

    Non-Deductive Methods in Mathematics

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

    Parasite Rex

  • 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.

    Non-Deductive Methods in Mathematics

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

    Parasite Rex

  • 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.

    Non-Deductive Methods in Mathematics

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