Tag Archives: Inquiry

What part do arguments from authority play in mathematical reasoning?

Posted on May 14, 2013 by

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 by

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

Revolt, Freedom, Passion

Posted on April 23, 2013 by

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 by

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

The Way The Cookie Uncrumbles Itself

Posted on April 16, 2013 by

I put down the cup and turn to my mind. It is up to my mind to find the truth. But how? What grave uncertainty, whenever the mind feels overtaken by itself; when it, the seeker, is also the obscure … Continue reading →

Posted in Anamnesis, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Madeleine, Memory, Proust, Time | Tagged , , , , , , , | Leave a comment

A Meno Acid

Posted on March 21, 2013 by

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

Oracles

Posted on March 1, 2013 by

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 , , , , , , , | Leave a comment

Quotiens?

Posted on February 28, 2013 by

How many times do I repeat the same experience? Before I come to see it as the same experience?

Posted in Algorithms, Anamnesis, Arithmetic, Deja Vu, Education, Epistemology, Eternal Return, Inquiry, Learning, Meno, Music, Pattern Recognition, Plato, Poetry, Recursion, Repetition, Rhythm, Teaching | Tagged , , , , , , , , , , , , , , , , , | 2 Comments

Poems and Programs

Posted on February 27, 2013 by

Words that do … A trendy misunderstanding has reared its head as to what the discipline of computing, and indeed the logic of science, are all about. I blame Penrose, of course, but he is only the most recent promulgator … Continue reading →

Posted in Aesthetics, Artistic Differences, Computability, Effective Description, Existential Choice, Finitude, Inquiry, Limitation, Logic of Science, Mortality, Poetry, Programming, Voluntary Project | Tagged , , , , , , , , , , , , | Leave a comment

Theme One • A Program Of Inquiry : 4

Posted on February 14, 2013 by

Re: Next Polymath Project • What, When, Where? Here is a bit of data on the Theme One Program that I worked on all through the 1980s. The aim was to develop fundamental algorithms and data structures to support an … Continue reading →

Posted in Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory | Tagged , , , , , , , , , , , , | Leave a comment