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Operator Variables in Logical Graphs • 7
Re: Operator Variables in Logical Graphs • 6 A funny thing just happened. Let’s see if we can tell where. We started with the algebraic expression where the operand suggests the contemplated absence...
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Operator Variables in Logical Graphs • 8
Re: Operator Variables in Logical Graphs • 7 A trick of discovery I learned by observing Peirce’s working methods, more than anything he wrote outright, might be put in the following words. Take what...
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Operator Variables in Logical Graphs • 9
The following Table will suffice to show how the “streamer‑cross” forms C.S. Peirce used in his essay on “Qualitative Logic” and Spencer Brown used in his Laws of Form, as they are extended through...
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Operator Variables in Logical Graphs • 10
Re: Operator Variables in Logical Graphs • 9 Let’s examine the Formal Operation Table for the third in our series of reflective forms to see if we can elicit the general pattern. Alternatively, if we...
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Operator Variables in Logical Graphs • 11
Re: Futures Of Logical Graphs • Themes and Variations This post and the next wrap up the Themes and Variations section of my speculation on Futures of Logical Graphs. I made an effort to “show my...
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Operator Variables in Logical Graphs • 12
Re: Operator Variables in Logical Graphs • 11 The rules given in the previous post for evaluating cactus graphs were given in purely formal terms, that is, by referring to the mathematical forms of...
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Interpretive Duality in Logical Graphs • 1
The duality between Entitative and Existential interpretations of logical graphs is a good example of a mathematical symmetry, in this case a symmetry of order two. Symmetries of this and higher...
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Interpretive Duality in Logical Graphs • 2
Re: Interpretive Duality in Logical Graphs • 1 A logical concept represented by a boolean variable has its extension, the cases it covers in a designated universe of discourse, and its comprehension...
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Interpretive Duality in Logical Graphs • 3
Re: Interpretive Duality in Logical Graphs • (1) • (2) For a sense of how the choice of interpretation bears on cases beyond the bare minimum complexity let us start with the familiar example of...
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Interpretive Duality in Logical Graphs • 4
Re: Interpretive Duality in Logical Graphs • (1) • (2) • (3) Last time we took up Peirce’s law, and saw how it might be expressed in two different ways, under the entitative and existential...
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