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===6.35. Reducibility of Sign Relations===
===6.35. Reducibility of Sign Relations===
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This Section introduces a topic of fundamental importance to the whole theory of sign relations, namely, the question of whether triadic relations are ''determined by'', ''reducible to'', or ''reconstructible from'' their dyadic projections.
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This section introduces a topic of fundamental importance to the whole theory of sign relations, namely, the question of whether triadic relations are "determined by", "reducible to", or "reconstructible from" their dyadic projections.
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Suppose R c XxYxZ is an arbitrary triadic relation and consider the information about R that is provided by collecting its dyadic projections. To formalize this information define the "projective triple" of R as follows:
Suppose R c XxYxZ is an arbitrary triadic relation and consider the information about R that is provided by collecting its dyadic projections. To formalize this information define the "projective triple" of R as follows: