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Peirce’s 1870 “Logic of Relatives” • Comment 11.5

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Dyadic Relation E

Dyadic Relation E
\text{Figure 30. Dyadic Relation}~ E

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\begin{array}{lll}  P ~\text{is total at}~ X & \iff & P ~\text{is}~ (\ge 1)\text{-regular}~ \text{at}~ X.  \\[6pt]  P ~\text{is total at}~ Y & \iff & P ~\text{is}~ (\ge 1)\text{-regular}~ \text{at}~ Y.  \\[6pt]  P ~\text{is tubular at}~ X & \iff & P ~\text{is}~ (\le 1)\text{-regular}~ \text{at}~ X.  \\[6pt]  P ~\text{is tubular at}~ Y & \iff & P ~\text{is}~ (\le 1)\text{-regular}~ \text{at}~ Y.  \end{array}

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\begin{array}{lll}  P ~\text{is a pre-function}~ P : X \rightharpoonup Y & \iff & P ~\text{is tubular at}~ X.  \\[6pt]  P ~\text{is a pre-function}~ P : X \leftharpoonup Y & \iff & P ~\text{is tubular at}~ Y.  \end{array}

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Figure 30

LOR 1870 Figure 30 (30)