respice finem


These days, a passage from a book I read a while ago reoccurred to me several times. It sounds interesting and it seems to have a broad applicability in science (and in life, if you wish).

[...]

Look at the unknown. This is old advice; the corresponding 
Latin saying is: "respice finem." That is, look at the end. 
Remember your aim. Do not forget your goal. Think of what is 
required. Keep in mind what you are working for. Look at the
unknown. Look at the conclusion. The last two versions of 
"respice finem" are specially adapted to mathematical problems,
to "problems to find" and to "problem to prove" respectively.

[...]

From: G. Polya. "How to Solve It: A New Aspect of Mathematical Method", page 123, 2nd Edition, 1973.

The only addendum, perhaps, is that the goal may change time to time.

Problem Solving Skills


Some works by George Polya captured my attention recently. In part, this happened because some of his works provide very powerful models to characterize large scale content/resource sharing communities (or systems, if you wish). For example, the Urn Model is suggested by Golder and Hubberman as a model to explain collaborative tagging behavior.

Another interesting work, which I am reading now, is the book How to Solve It. This book brings a methodology to motivate students on the process of strengthening their problem solving skills. I wonder how different it would be if some undergrad professors inspired a little bit of their course mechanics on that material.