inverse relation

(redirected from Converse relation)
Also found in: Wikipedia.

inverse relation

[¦in‚vərs ri′lā·shən]
(mathematics)
For a relation R, the inverse relation R -1 is the relation such that the ordered pair (x, y) belongs to R -1 if and only if (y, x belongs to R.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
To see how this is a consequence, let us first note how it is possible to provide a definition of converse in terms of the standard notion of exemplification; for, given any binary relation, we may define a converse relation to be one that holds between the objects a and b just in case the given relation holds between b and a.(1) But once given an intelligible notion of converse, it is very plausible to suppose that each relation has a converse.
"Converse Relations." Philosophical Review 94:249-62.
But, similarly, the converse relation should correlate a lower-level G in one-many fashion with a range of upper-level properties E through F such that, minimally, it is possible for an instance of G to subserve an instance of E and not F, and on another occasion, F and not E (the system which is an Intel 80486 microprocessor (G) might instantiate the adding function (F) and not the tangent function (E), and vice versa).(6) So, given the same determinative connection, one must say:
First, for any relation there is a converse relation and it is not clear what they would be in these cases.
Are Necessary and Sufficient Conditions Converse Relations ?