## definitions

Noun

- plural form of
*definition*

- But admitting the validity of this criticism, and even going so far as to question the possibility of ever devising absolutely inclusive and, at the same time, exclusive
**definitions**, no sufficient reason is adduced for giving up all attempt at morphological analysis. - He is not prepared to exclude the great medieval pronouncements, or the modern Roman Catholic
**definitions**, from the list of dogmas; but on the whole he prefers to keep in view " one historical species " - Loofs suggests that he ought perhaps rather to say one individual type - that greatest group of Christian dogmas which " was created by the Greek spirit upon the soil of the gospel " (Hist. - With these
**definitions**it is now possible to prove the following six premisses applying to finite cardinal numbers, from which Peano 2 has shown that all arithmetic can be deduced i. - The
**definitions**of the finite ordinals can be expressed without use of the corresponding cardinals, so there is no essential priority of cardinals to ordinals. - Contrasting the above
**definitions**of number, cardinal and ordinals, with the alternative theory that number is an ultimate idea incapable of definition, we notice that our procedure exacts a greater attention, combined with a smaller credulity; for every idea, assumed as ultimate, demands a separate act of faith.

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