These doubts led Russell (1912) to propose a multiple relation theory of judgment, to replace the standard two-place relational theory (which is discussed at length in section 3.1).
Multi-relational data mining algorithms emerged to enable the extraction of multiple relation patterns, with efficiency and efficacy, without the necessity of joining the data into a single table [4, 5].
The member of Bradley's team of arguments which has attracted the greatest polemical attention, however, is the one which alleges that if a relation were a further kind of real thing along with its terms (as, e.g., Russell later assumed in his multiple relation theory of judgment), then a further relation would be required to relate it to its terms, and so on ad infinitum.
Russell goes on to explain the multiple relation theory of judgment, which finds the place of propositions in this world of objects and qualities standing in relations.
At times, however, Russell believed that the fact that S believes that a bears R to b amounts to the holding of a multiple relation in which S, a, R and b are all relata (e.g. NTF, 155 56; TK, 144ff).
For defenders of the Russellian Multiple Relation Theory, a standard belief-ascription, 'S believes that p' is understood to state the holding of a certain cognitive relation between S and the designata of the components of 'p', rather than a relation to a proposition.
Relational databases are used where associations between files or records cannot be expressed by links; a simple flat list becomes one row of a table, or "relation," and multiple relations can be mathematically associated to yield desired information.
A precisely represented semantics of a document as a graph and multiple relation-based weighting schemes are important factors underlying the notable improvement.
In the meanwhile, should we allow multiple relations while different interpretations occur?
Some participants required training across multiple relations and classes before emergence of intraverbals was observed.
As a matter of fact, multiple relations commonly exist in a discourse structure, for example topic-comment chains.
