Logic as an evolved strategy...
Jun. 16th, 2004 11:41 amSo, I'm reading John Wilkins, one of those annoying know-it-alls whom I admire, and he has a thoughtful essay, The Logic of Evolution, in which he reveals a fascinating conundrum: if evolution is a correct explanation for our origins, then logic must be a function of our evolutionary heritage: "Logic", the formal tools for deciding truth from falsity, is a branch of biology.
Way cool.
Evolution, or rather the generalised aspects of the dynamics of evolution, are indeed the substrate of logic. To think otherwise is to think that logic exists in a Platonic heaven or is some kind of happenstance. Neither will really work - the one because of the baroque ontology it imposes, based, so far as we can tell, on our acceptance of Plato's post hoc justification for thinking his ideas are somehow in direct connection with the real world; the other based on the assumption that we "just have these concepts".
Way cool.
Mathematical Neo-Platonism
Date: 2004-06-17 10:01 pm (UTC)If we have reasoning abilities (and we do, and they consume an inordinate amount of our metabolic resources), then they must represent an evolutionary benefit. Well, why would they represent an evolutionary benefit? Because the world operates logically, and hence reasoning abilities allow one to predict future events an plan for them. Thus logic is built into the world, and not evolution itself.
At a more basic level, I am a mathematical neo-Platonist. I _do_ believe that many (if not all) of our mathematical concepts require no reference to a physical universe, and exist instead _ab_initio_. That even a disembodied mind could conceive of these concepts. The most fundamental of these concepts are those which underly logic. I do not see this as being a _baroque_ standpoint, but rather the only natural standpoint. Others may argue with me only this last statement (even those others would argue that logic and mathematics are built into the Universe on a more fundamental level than biology).
The argument presented here seems to me to be a prelude to the rehashing of the old po-mo argument: that different cultures would have different logical systems or conceptions of the way the world works, and that none of these systems is inherently more correct than any of the others. The fact that this is clearly fallacious (for example, I do assert that my opinions about the geometry of the world are _inherently_ more correct than a Flat-Earther's) does not seem to disconcert them. Perhaps because they are working by a different logical system.
I'm sorry if I seem a little harsh, but claiming that logic (and hence mathematics and science) is a function of biology (or culture, or upbringing) tends to push my buttons.
-Malthus