Tag Archives: Kyburg

Improper Subsets

“Your occupation is to keep your disguise intact and you succeed in it because your mask is the most puzzling of all; to wit you are nothing, you are constantly only in relation to others, and what you are you are only in virtue of that relation.” S. Kierkegaard, Either/Or, own translation.

One word can make a world of difference. The word that makes the difference in the above quote is the word ‘only’. It is not a problem to be constantly in relation to others. Likewise it is not a problem to be yourself in virtue of that relation. The issue is when you are ‘only’ that. It is simply true that you are at least that and the sad truth is that in atomistic times that simple truth is swiftly swept under the rug. You can deny that what you are you are in virtue of your relation to others but the result of your denial is that you’re nothing because you add nothing; what remains of you is ‘only’ your mechanical relation to others.

It may be a stretch to go from Kierkegaard to mathematics. Still, there’s a sense in which it is improper to call the subset of all your relations a subset of all your relations. Somehow it is an impropriety shining through a most modern sense of self: by taking everything one is taking all that can be taken and this everything just ‘has to make do’. Well, it doesn’t and I will now rant a little on how this failure explains current political issues around identity as well as the intuition that personality-changing medication strikes us as ‘unreal’. It will be a rant that takes the Heisenberg principle as consequence – not cause! -of Kierkegaard’s above use of the word ‘only’. Call me crazy and just read on regardless. Crazy is fun.

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Evidential probability

“The best the logician can do is to recommend gathering more data.”
Henry E. Kyburg Jr. & Choh Man Teng, p. 200, Cambridge University Press, 2001.

[Re-posted from The Old Site, original dd. 09-01-2010. See also my ‘common sense reasoning: Do Humans Think?’ thesis linked to elsewhere on this site. This one is surprisingly transparent ;-]

A small series on forgotton (or, let’s be optimistic: not yet discovered) pearls of this human endeavour that’s called thinking. I learned Mr. Kyburg died a couple of years ago. Given that that ís a fact, one can only hope that he turns out to be an instance of the reference class of great thinkers that have ideas requiring the environment of thought of a generation coming well after their own generation.

The series has as its common theme: three B-list philosophers, on which I based my Cognitive Science dissertation (available on-line for those inspired enough to look for the link “Do Humans Think?’).

But let’s cut to the chase: Continue reading