Monthly Archives: March 2013

Pragmatism Meets Absurdity

At the streetcorner … At any streetcorner the feeling of absurdity can strike any man in the face. As it is, in its distressing nudity, in its light without effulgence, it is elusive. But that very difficulty deserves reflection. It … Continue reading

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A Determined Soul

Selections from Albert Camus, “The Myth of Sisyphus” Everything considered, a determined soul will always manage. (41) ⁂   To a man devoid of blinders, there is no finer sight than that of the intelligence at grips with a reality … Continue reading

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τὰ δὲ μοι παθήματα ἐόντα ἀχάριτα μαθήματα γέγονε

Croesus, addressing Cyrus, says — τὰ δὲ μοι παθήματα ἐόντα ἀχάριτα μαθήματα γέγονε. My sufferings, though painful, have been my lessons. — Herodotus • 1.207 Notes • (1) • (2) • (3) • (4) • (5)

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A Meno Acid

What answers to the Meno Paradox Comes in the moment of realizing — Gathering together the building blocks Is just the beginning of the building.

Posted in Artificial Intelligence, Cognitive Science, Education, Inquiry, Learning, Meno, Philosophy, Plato, Teaching, Verse | Tagged , , , , , , , , , | Leave a comment

Indicator Functions • 1

Re: R.J. Lipton and K.W. Regan • Who Invented Boolean Functions? One of the things it helps to understand about 19th Century mathematicians, and those who built the bridge to the 20th, is that they were capable of high abstraction … Continue reading

Posted in Abstraction, Boole, Boolean Functions, C.S. Peirce, Category Theory, Characteristic Functions, Euler, Indicator Functions, John Venn, Logic, Mathematics, Peirce, Propositional Calculus, Set Theory, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , | Leave a comment

Riffs and Rotes • 2

Re: Peter Cameron • Addition and Multiplication of Natural Numbers The interaction between addition and multiplication in the natural numbers has long been an interest of mine, leading to broader questions about the relationship between algebra and combinatorics.  My gropings … Continue reading

Posted in Arithmetic, Combinatorics, Graph Theory, Group Theory, Logic, Mathematics, Number Theory, Riffs and Rotes | Tagged , , , , , , , | Leave a comment

Oracles

Computing, in its way, and science, in its broader way, both involve the relation between what appears limited and what appears not. Whether you believe in divinity or not, and whether you believe that humanity contains a spark of divinity … Continue reading

Posted in Communication, Computability, Computing, Inquiry, Oracles, Relative Computability, Science, Universals | Tagged , , , , , , , | 2 Comments