Two notes on notation

@article{Knuth1992TwoNO,
  title={Two notes on notation},
  author={Donald Ervin Knuth},
  journal={American Mathematical Monthly},
  year={1992},
  volume={99},
  pages={403-422}
}
  • D. Knuth
  • Published 1 May 1992
  • Education
  • American Mathematical Monthly
Mathematical notation evolves like all languages do. As new experiments are made, we sometimes witness the survival of the fittest, sometimes the survival of the most familiar. A healthy conservatism keeps things from changing too rapidly; a healthy radicalism keeps things in tune with new theoretical emphases. Our mathematical language continues to improve, just as "the d-ism of Leibniz overtook the dotage of Newton" in past centuries [4, Chapter 4]. In 1970 I began teaching a class at… 
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