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Revision as of 15:03, 28 May 2008
, 15:03, 28 May 2008break out new section [propositional forms on two variables]
We may understand the enlarged proposition <math>\operatorname{E}f</math> as telling us all the different ways to reach a model of <math>f\!</math> from any point of the universe <math>U.\!</math>
We may understand the enlarged proposition <math>\operatorname{E}f</math> as telling us all the different ways to reach a model of <math>f\!</math> from any point of the universe <math>U.\!</math>
===Propositional Forms on Two Variables===
To broaden our experience with simple examples, let us now contemplate the sixteen functions of concrete type <math>X \times Y \to \mathbb{B}</math> and abstract type <math>\mathbb{B} \times \mathbb{B} \to \mathbb{B}.</math> For future reference, I will set here a few Tables that detail the actions of <math>\operatorname{E}</math> and <math>\operatorname{D}</math> on each of these functions, allowing us to view the results in several different ways.
To broaden our experience with simple examples, let us now contemplate the sixteen functions of concrete type <math>X \times Y \to \mathbb{B}</math> and abstract type <math>\mathbb{B} \times \mathbb{B} \to \mathbb{B}.</math> For future reference, I will set here a few Tables that detail the actions of <math>\operatorname{E}</math> and <math>\operatorname{D}</math> on each of these functions, allowing us to view the results in several different ways.
