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Animated Logical Graphs : 1
For Your Musement … Here are some animations I made up to illustrate several different styles of proof in an extended topological variant of Peirce’s Alpha Graphs for propositional logic. ☞ Proof...
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Animated Logical Graphs : 2
Re: Peirce List Discussion • Jim Willgoose It’s almost 50 years now since I first encountered the volumes of Peirce’s Collected Papers in the math library at Michigan State, and shortly afterwards a...
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Animated Logical Graphs : 3
Re: Peirce List Discussion • Helmut Raulien I have a little more leisure now to begin the process of climbing back into the saddle, so let me see where we left off … Try looking into the article I...
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Animated Logical Graphs : 4
Re: Peirce List Discussion • Helmut Raulien Although it’s fair to say that most of my university coursework leaned to the theoretical side of things, I did cobble together a respectable enough...
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Animated Logical Graphs : 5
Re: Peirce List Discussion • Howard Pattee A computational problem is defined as a set of problem instances with specified properties. An algorithm solves a problem if it computes the correct answer...
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Animated Logical Graphs : 6
Re: Peirce List Discussion • Jim Willgoose At root we are dealing with a genre of very abstract formal systems. They have grammars that determine their well-formed expressions and rules that determine...
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Survey of Precursors Of Category Theory • 1
A few years ago I began a sketch on the Precursors of Category Theory, aiming to trace the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to...
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Problems In Philosophy • 4
Re: R.J. Lipton and K.W. Regan • Did Euclid Really Mean ‘Random’? These are the forms of time, which imitates eternity and revolves according to a law of number. Plato • Timaeus • 38 A Benjamin Jowett...
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Homunculomorphisms • 2
Re: John Baez • The Internal Model Principle There’s a far-ranging discussion that takes off from this point, touching on links among analogical reasoning, arrows and functors, cybernetic images,...
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Charles Sanders Peirce, George Spencer Brown, and Me
Re: Laws Of Form Discussion • James Bowery James Bowery left a comment on my blog and opened a thread in the Yahoo! group devoted to discussing the mathematics of George Spencer Brown’s Laws of Form....
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Charles Sanders Peirce, George Spencer Brown, and Me • 1
Re: Laws Of Form Discussion • Jon Awbrey It’s almost 50 years now since I first encountered the volumes of Peirce’s Collected Papers in the math library at Michigan State, and shortly afterwards a...
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Charles Sanders Peirce, George Spencer Brown, and Me • 2
Re: Laws Of Form Discussion • JA • JB • AM I’m making an effort to present this material in a more gradual and logical order than I’ve ever managed to do before. There are issues about the...
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Charles Sanders Peirce, George Spencer Brown, and Me • 3
Re: Laws Of Form Discussion • AM • AM • AM • AM There are a number of “difficulties at the beginning” that arise here. I’ve been trying to get to the point where I can respond to James Bowery’s...
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Charles Sanders Peirce, George Spencer Brown, and Me • 4
Re: Laws Of Form Discussion Two things that had a big impact on my studies of Peirce and Spencer Brown over the years were my parallel studies in mathematics and computer science. In the overlap...
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Charles Sanders Peirce, George Spencer Brown, and Me • 5
Re: Laws Of Form Discussion • Peirce’s Law Here are blog and wiki versions of an article I wrote on Peirce’s Law, an axiom or theorem (depending on the logical basis you choose) that distinguishes...
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Charles Sanders Peirce, George Spencer Brown, and Me • 6
Re: Laws Of Form Discussion • Peirce’s Law • AM • AM The formal system of logical graphs is defined by a foursome of formal equations, called initials when regarded purely formally, in abstraction from...
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Charles Sanders Peirce, George Spencer Brown, and Me • 7
Re: Laws Of Form Discussion • Boundary Logic • CB A statement that implies both and is called a false statement, and anyone can prove anything at all from a false statement, as we all too frequently...
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Charles Sanders Peirce, George Spencer Brown, and Me • 8
Re: Laws Of Form Discussion • Boundary Logic • JW For me, the heart of the matter is what is the purpose of logic and what is the purpose of math and what is their relationship? There are ways of...
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Charles Sanders Peirce, George Spencer Brown, and Me • 9
Re: Laws Of Form Discussion • Boundary Logic • RS A wider field of investigation opens up at this point, having to do with the diversity of interactions among the languages we use, and systems of signs...
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Charles Sanders Peirce, George Spencer Brown, and Me • 10
Re: Laws Of Form Discussion With any formal system it is easy to spend a long time roughing out primitives and reviewing first principles before getting on to practical applications, and logical graphs...
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