Differential Logic • 8

Propositional Forms on Two Variables

To broaden our experience with simple examples, let’s examine the sixteen functions of concrete type P \times Q \to \mathbb{B} and abstract type \mathbb{B} \times \mathbb{B} \to \mathbb{B}.  Our inquiry into the differential aspects of logical conjunction will pay dividends as we study the actions of \mathrm{E} and \mathrm{D} on this family of forms.

Table A1 arranges the propositional forms on two variables in a convenient order, giving equivalent expressions for each boolean function in several systems of notation.

\text{Table A1. Propositional Forms on Two Variables}

Table A1. Propositional Forms on Two Variables

Resources

cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
cc: Research GateStructural ModelingSystems ScienceSyscoi

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