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| The corresponding projections of <math>\operatorname{Proj}^{(2)} L_0\!</math> and <math>\operatorname{Proj}^{(2)} L_1\!</math> are identical. In fact, all six projections, taken at the level of logical abstraction, constitute precisely the same dyadic relation, isomorphic to the whole of <math>\mathbb{B} \times \mathbb{B}\!</math> and expressed by the universal constant proposition <math>1 : \mathbb{B} \times \mathbb{B} \to \mathbb{B}.\!</math> In summary: | | The corresponding projections of <math>\operatorname{Proj}^{(2)} L_0\!</math> and <math>\operatorname{Proj}^{(2)} L_1\!</math> are identical. In fact, all six projections, taken at the level of logical abstraction, constitute precisely the same dyadic relation, isomorphic to the whole of <math>\mathbb{B} \times \mathbb{B}\!</math> and expressed by the universal constant proposition <math>1 : \mathbb{B} \times \mathbb{B} \to \mathbb{B}.\!</math> In summary: |
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− | <pre> | + | {| align="center" cellspacing="8" width="90%" |
− | R012 = R112 = 112 = B2,
| + | | |
− | R013 = R113 = 113 = B2,
| + | <math>\begin{array}{lllll} |
− | R023 = R123 = 123 = B2.
| + | (L_0)_{12} & = & (L_1)_{12} & \cong & \mathbb{B}^2 |
| + | \\[4pt] |
| + | (L_0)_{13} & = & (L_1)_{13} & \cong & \mathbb{B}^2 |
| + | \\[4pt] |
| + | (L_0)_{23} & = & (L_1)_{23} & \cong & \mathbb{B}^2 |
| + | \end{array}</math> |
| + | |} |
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− | Thus, R0 and R1 are both examples of irreducibly triadic relations. | + | Thus, <math>L_0\!</math> and <math>L_1\!</math> are both examples of irreducibly triadic relations. |
− | </pre>
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| ===6.37. Propositional Types=== | | ===6.37. Propositional Types=== |