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...portant, and for reasons that reach well beyond the level of propositional calculus as it is ordinarily conceived. But it's slightly tricky to get all of the ...le, it is useful to observe that the implication relation indicated by the propositional form <math>x \Rightarrow y\!</math> is equivalent to an order relation <mat

{{DISPLAYTITLE:Propositional Equation Reasoning Systems}} ...sed as a graphical syntax for [[propositional calculus]] and also on the ''calculus of indications'' that George Spencer Brown presented in his ''Laws of Form'

...ntersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]. ...calculus that is formally recognizable in several senses as giving form to propositional logic.

...w. The rest of this subsection serves to motivate the development of this calculus and treats a number of general issues that surround the topic. ...In the present application, there is a pressing need to devise a general calculus for composing propositions, computing their values on particular arguments,

| 'Differential Geometry and the Calculus of Variations', | of this paper is given in an appendix on fundamentals of vector calculus.

...has its place in a formal system of symbols, for example, a propositional calculus, where it would normally be interpreted as a logical conjunction of six ele In a diagram like this, even if one does not bother to show all of the implicational or the subject-predicate relationships by means of explicit lines, then one

relations, "-<-" and "->-", and to maintain a formal calculus conceived to be certain propositional entities in J. And yet, all of these