Author Archives: Jon Awbrey

Strangers In Paradise

Posted on May 22, 2013

Re: Kilvington’s Sophismata Comment 1 On the one hand Aristotle gives us the logic of analogy (παραδειγμα). On the other hand he cautions us that different paradigms may have no common measure. It seems these Immortals are always getting ahead … Continue reading →

Posted in Albert Camus, Analogy, Aristotle, Differential Logic, Eleatic Stranger, Heraclitus, Incommensurability, Logic, Metabasis, Paradigmata, Paradox, Parmenides, Plato, Richard Kilvington, Sisyphus, Sophismata, Thomas Kuhn, Zeno | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

⚠ It’s A Trap ⚠

Posted on May 18, 2013

Re: Kenneth W. Regan The most common mathematical trap I run across has to do with Triadic Relation Irreducibility, as noted and treated by the polymath C.S. Peirce. This trap lies in the mistaken belief that every 3-place (triadic or ternary) … Continue reading →

Posted in Error, Fallibility, Logic, Logic of Relatives, Mathematical Traps, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | 4 Comments

Triadic Relation Irreducibility : 3

Posted on May 16, 2013

References Relation Theory MyWikiBiz PlanetMath Sign Relations MyWikiBiz PlanetMath Triadic Relations MyWikiBiz PlanetMath Relation Composition MyWikiBiz PlanetMath Relation Construction MyWikiBiz PlanetMath Relation Reduction MyWikiBiz PlanetMath Related Readings Notes on Peirce’s 1870 Logic of Relatives Interpretation as Action : The Risk … Continue reading →

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , | 1 Comment

grabitational singularity

Posted on May 16, 2013

the trouble with a bubble on a pyramid top is the point when it pop ⚠ ⚠⚠ ⚠⚠⚠ ⚠⚠⚠⚠ ⚠⚠⚠⚠⚠ ⚠⚠⚠⚠⚠⚠

Posted in Singularity, Verse | Tagged , | Leave a comment

What part do arguments from authority play in mathematical reasoning?

Posted on May 14, 2013

In forming your answer you may choose to address any or all of the following aspects of the question: Descriptive What part do arguments from authority actually play in mathematical reasoning? Normative What part do arguments from authority ideally play … Continue reading →

Posted in Artificial Intelligence, Authority, Belief Fixation, Control, Control Theory, Cybernetics, History of Mathematics, History of Science, Information, Information Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Intuition, Logic, Logic of Science, Mathematical Intuition, Mathematical Reasoning, Operations Research, Optimal Control, Optimization, Philosophy of Science, Scientific Method | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Information = Comprehension × Extension : 1

Posted on May 8, 2013

Re: A Most Perplexing Mystery The inverse relationship between symmetry and diversity — that we see for example in the lattice-inverting map of a Galois correspondence — is a variation on an old theme in logic called the “inverse proportionality … Continue reading →

Posted in Comprehension, Extension, Information, Inquiry, Intension, Logic, Logic of Science, Peirce | Tagged , , , , , , , | 10 Comments

Rock On

Posted on May 6, 2013

Elsewhere I have brought out the fact that human will had no other purpose than to maintain awareness. But that could not do without discipline. Of all the schools of patience and lucidity, creation is the most effective. It is … Continue reading →

Posted in Absurdity, Albert Camus, Diversity, Existentialism, Freedom, Myth, Oedipus, Passion, Revolt, Sisyphus | Tagged , , , , , , , , , | 12 Comments

Finding a Needle in a Cactus Patch

Posted on April 30, 2013

Re: Sex, Lies, And Quantum Computers Don’t know much about quantum computation, but my ventures in graphical syntaxes for propositional calculus did turn up a logical operator whose evaluation process reminded me a little of the themes involved in the … Continue reading →

Posted in Boolean Functions, Cactus Graphs, Graph Theory, Logic, Logical Graphs, Minimal Negation Operators, Peirce, Propositional Calculus | Tagged , , , , , , , | 4 Comments

Revolt, Freedom, Passion

Posted on April 23, 2013

Thus I draw from the absurd three consequences, which are my revolt, my freedom, and my passion. By the mere activity of consciousness I transform into a rule of life what was an invitation to death — and I refuse suicide. I … Continue reading →

Posted in Absurdity, Albert Camus, Existentialism, Freedom, Inquiry, Method, Nietzsche, Passion, Revolt, Sisyphus | Tagged , , , , , , , , , | 3 Comments

Absurdum Quid

Posted on April 22, 2013

I am thus justified in saying that the feeling of absurdity does not spring from the mere scrutiny of a fact or an impression, but that it bursts from the comparison between a bare fact and a certain reality, between … Continue reading →

Posted in Absurdity, Albert Camus, Existentialism, Inquiry, Method, Peirce, Pragmatic Maxim, Pragmatism, Sisyphus, Tertium Quid, Thirdness, Triadicity | Tagged , , , , , , , , , , , | 1 Comment