from The American Heritage® Dictionary of the English Language, 4th Edition
- adj. Capable of being put into one-to-one correspondence with the positive integers; countable.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.
from the GNU version of the Collaborative International Dictionary of English
- adj. that can be counted.
from The Century Dictionary and Cyclopedia
- Same as denumeral.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adj. that can be counted
Negation phenomena (dgag-pa), such as denumerable voidness are merely conceptual categories (spyi, universals), and, as such, can only be known conceptually.
The issues for the transition from classical to quantum physics comes down to counting; and even classical systems must ultimately come down to a denumerable set of states.
Karma and Shangpa Kagyu, in their presentations of tantra, use “self-voidness” exclusively for denumerable voidness.
On the conceptual level, wisdom is the discriminating awareness of denumerable voidness; on the nonconceptual level, it is the deep awareness of nondenumerable voidness.
They are “denumerable” in the sense that they can be counted among what appears to minds validly cognizing phenomena through mentally labeling them with words and concepts.
For ease of discussion, let us coin the terms denumerable voidness and nondenumerable voidness for these two.
As in Gelug, such practice avoids the shortcomings of bodhichitta as method, since the manners of cognitively taking space-like and illusion-like denumerable voidness are not contradictory.
They do not usually use the term to refer to the denumerable voidness of anything, its absolute absence of existing with true existence.
Conceptual cognition, and only conceptual cognition, makes its object appear to exist in one of the four impossible manners that denumerable voidness is beyond.
The meaning here is that with the first stage of each, practitioners have only cognition of denumerable voidness.