Early Use
Galileo utilized the concept of idealization in order to formulate the law of free fall. Galileo, in his study of bodies in motion, set up experiments that assumed frictionless surfaces and spheres of perfect roundness. The crudity of ordinary objects has the potential to obscure their mathematical essence, and idealization is used to combat this tendency.
The most well-known example of idealization in Galileo’s experiments is in his analysis of motion. Galileo predicted that if a perfectly round and smooth ball were rolled along a perfectly smooth horizontal plane, there would be nothing to stop the ball (in fact, it would slide instead of roll, because rolling requires friction). This hypothesis is predicated on the assumption that there is no air resistance.
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Famous quotes containing the word early:
“Very early in our children’s lives we will be forced to realize that the “perfect” untroubled life we’d like for them is just a fantasy. In daily living, tears and fights and doing things we don’t want to do are all part of our human ways of developing into adults.”
—Fred Rogers (20th century)
“But she is early up and out,
To trim the year or strip its bones;”
—Edna St. Vincent Millay (1892–1950)