Changes

A cursory examination of the topic of ''partiality'', as just surveyed, reveals two strains fixing how this &ldquo;quality of murky&rdquo; in general reigns.  This division depends on the disposition of <math>n\!</math>-tuples as the individual elements that inhabit an <math>n\!</math>-place relation.

A cursory examination of the topic of ''partiality'', as just surveyed, reveals two strains fixing how this &ldquo;quality of murky&rdquo; in general reigns.  This division depends on the disposition of <math>n\!</math>-tuples as the individual elements that inhabit an <math>n\!</math>-place relation.

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<ol style="list-style-type:decimal">

1. If the integrity of elementary relations as n-tuples is maintained, then the predicate of ''partiality'' characterizes only the state of information that one has, either about elementary relations or about entire relations, or both.  Thus, this strain of partiality affects the determination of relations at two distinct levels of their formation:

 

<li>If the integrity of elementary relations as n-tuples is maintained, then the predicate of ''partiality'' characterizes only the state of information that one has, either about elementary relations or about entire relations, or both.  Thus, this strain of partiality affects the determination of relations at two distinct levels of their formation:</li>

 

a. At the level of elementary relations, it frees up the point to which n-tuples are pinned down by signs or expressions of relations by modifying the name that indicates or the formula that specifies a relation.

<li>At the level of elementary relations, it frees up the point to which <math>n\!</math>-tuples are pinned down by signs or expressions of relations by modifying the name that indicates or the formula that specifies a relation.</li>

b. At the level of entire relations, it relaxes the grip that axioms and constraints have on the character of a relation by modifying the strictness or generalizing the form of their application.

<li>At the level of entire relations, it relaxes the grip that axioms and constraints have on the character of a relation by modifying the strictness or generalizing the form of their application.</li></ol>

2. If "partial n-tuples" are admitted, and not permitted to be confused with "<n-tuples", then one arrives at the concept of an "n-place relational complex".

<li>If ''partial <math>n\!</math>-tuples'' are admitted, and not permitted to be confused with ''<math>(< n)\!</math>-tuples'', then one arrives at the concept of an ''<math>n\!</math>-place relational complex''.</li></ol>

Relational complex?

Relational complex?