Whewell was prominent not only in scientific research and philosophy but also in university and college administration. His first work, An Elementary Treatise on Mechanics (1819), cooperated with those of George Peacock and John Herschel in reforming the Cambridge method of mathematical teaching.

Blumenberg quotes GeorgChristoph Lichtenberg’s reaction to William Herschel’s 1781 discovery ofUranus: “Inventing an unfailing means against toothache, curing itinstantly, would be well worth as much and more than discovering anotherplanet.”