Fictitious Problems in Mathematics

@article{BassetFictitiousPI,
  title={Fictitious Problems in Mathematics},
  author={A. B. Basset},
  journal={Nature},
  volume={72},
  pages={78-78}
}
IN my younger days it was well recognised that such statements as “perfectly smooth” and the like were mere conventional phrases for designating an ideal state, of matter, which was assumed to exist for the purpose of simplifying the mathematical conditions as far as possible. Nobody can learn mathematics without working out a large number of problems and examples, and in order to make these sufficiently easy for the beginner, various fictitious hypotheses have to be introduced.