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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 16:00, 12 April 2009
, 16:00, 12 April 2009→Commentary Note 11.5
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To illustrate these properties, let us fashion a "generic enough" example of a 2-adic relation, ''E'' ⊆ ''X'' × ''Y'', where ''X'' = ''Y'' = {0, 1, …, 8, 9}, and where the bigraph picture of ''E'' looks like this:
To illustrate these properties, let us fashion a generic enough example of a 2-adic relation, <math>E \subseteq X \times Y,</math> where <math>X = Y = \{ 0, 1, \ldots, 8, 9 \},</math> and where the bigraph picture of <math>~E~</math> looks like this:
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0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
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If we scan along the ''X'' dimension we see that the "''Y'' incidence degrees" of the ''X'' nodes 0 through 9 are 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, in order.
If we scan along the ''X'' dimension we see that the "''Y'' incidence degrees" of the ''X'' nodes 0 through 9 are 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, in order.