Showing posts with label Deduction. Show all posts
Showing posts with label Deduction. Show all posts

Saturday, May 17, 2014

The Calibration Problem: Why Science Is Not Deductive



Here is perhaps the most important fact about scientific method that anybody can ever learn: the optimal course of a scientific investigation is to provide probability assignments for propositions about the universe, and when scientific method deviates from this optimum path, it is valid only to the extent that it successfully approximates this ideal. There is a simple reason for this:

We would love to be able to say that we are 100% certain about X, that Y is guaranteed to be true, or that fact Z about the universe has somehow entered my head and impressed infallible knowledge of its necessary truth on my mind, but of course, except for the most trivial propositions, none of these is possible.

Firstly, every measurement is subject to noise, so there will always be a degree of uncertainty about what caused a particular experience.

Secondly, and far more fundamentally, calibration of any instrument requires certain symmetries of physical law to be hypothesized. Here's what I mean: