| Earlier Terminology | New Terminology | Introduced By |
| Commutative Group [Algebra] | |
| Calculus Summatorius ('the calculus of summation') [Analysis] | |
| Negative Squares [Foundations] | |
| Skew Product [Foundations] | |
| Faculty [Foundations] | |
| Zahlenkörper ('body of numbers') [Algebra] | |
| Fluxion [Analysis] | |
| Proper value/vector [Algebra] | |
| Continued Fraction Algorithm [Foundations] | |
| Value [Probability] | |
| Terminus [Analysis] | |
| Numeri Artificiales [Foundations] | |
| Gnomon [Foundations] | |
| Variationes or Alternationes [Foundations] | |
| Schubfachprinzip ('drawer principle') [Foundations] | |
| Rectilinear Number [Foundations] | |
| Doctrine of Chances [Probability] | |
| Factorgruppe ('Factor Group') [Algebra] | |
| Prime Confine [Topology] | |
| Root Mean Square Error [Probability] | |
| Analysis Situs [Topology] | |
| Rectangular Distribution [Probability] | |
| Sum (of sets) [Foundations] | |