Archive for the ‘Change’ Category

When viewed at the appropriate level of abstraction, many seemingly different questions are equivalent

February 18, 2008

Many questions in many subjects are equivalent when viewed at the appropriate level of abstraction.

For example, the mathematical structures that one creates to study and model motion are identical, mathematically, to the structures that model aspects of economics, population growth, traffic flow, fluid flow, electricity, baseball, planetary motion, and countless other topics.

By looking at the mathematics itself, we strip away the extraneous  features of the questions and focus on the underlying relationships and structures that govern and describe our world.

Change and Motion: Calculus Made Clear by Professor Michael Starbird

When, and under what conditions, does one decide to press for change?

February 3, 2008

When, and under what conditions, does one decide to press for change, to take on a new project, to embark on a journey, to develop a new theory, or to harness oneself to a cause?  Can one know when to pursue a hunch and when to dismiss it?  Can one know in advance when to engage and when to leave things be?  No, in a sense one never does.

The kind of certainty one seeks in the proverb “God grant me the equanimity of accepting what cannot be changed, the courage to change what can be changed, and the wisdom to distinguish between the two” does not really exist except in trivial cases.  In matters of importance, one cannot know in advance what can be changed and what cannot be changed, what should be accepted and what should be rejected, no matter how wise and how knowledgeable one is.

The Tale of a Scale by Solly Angel

Hallmark of a Successful Education

July 3, 2007

“Adaptability to change is itself a hallmark of successful education, and it is change, not any specific technology, that most aptly characterizes life today and in the foreseeable future. A genuine education enables one to acquire, for oneself, the skills one happens, at a given stage of one’s life, to need.”

Mathematics from the Birth of Numbers