22 APR 2014 by ideonexus
How Big Ideas are Revealed
Big ideas are typically revealed via:
• Core concepts (migration, function)
• Focusing themes (good vs. evil)
• Ongoing debate/issues (nature vs. nurture)
• Illuminating paradox/problem (freedom vs. responsibility)
• Organizing theory/principle (less is more)
• Underlying assumption/perspectives (Occam’s Razor)
• Key questions
• Insightful inferences from factsWays to teach.
13 APR 2013 by ideonexus
The Problem with Occam's Razor
In climate forecasting, the situation is more equivocal: the theory about the greenhouse effect is strong, which supports more complicated models. However, temperature data is very noisy, which argues against them. Which consideration wins out? We can address this question empirically, by evaluating the success and failure of different predictive approaches in climate science. What matters most, as always, is how well the predictions do in the real world.
I would urge caution against reducin...Not all models can be simple.
27 AUG 2012 by ideonexus
Newton's Rules of Reasoning in Natural Philosophy
RULE I
We are to admit no more causes of natural things, than such as are both true and sufficient to explain their appearances.
To this purpose the philosophers say, that Nature does nothing in vain, and more is in vain, when less will serve; for Nature is pleased with simplicity, and affects not the pomp of superfluous causes.
RULE II
Therefore to the same natural effects we must, as far as possible, assign the same causes.
As to respiration in a man, and in a beast; the desce...A hint of Occam's razor and much induction.
30 AUG 2011 by ideonexus
Reduce Phenomena to the Proximate Causes and Primitive Fo...
I think that considerable progress can be made in the analysis of the operations of nature by the scholar who reduces rather complicated phenomena to their proximate causes and primitive forces, even though the causes of those causes have not yet been detected. Sounds a little like Occam's Razor, with an additional acceptance of some uncertainty.