Examples
- is an infinitesimal that is greater than, but less than every positive real number.
- is less than, and is also less than for any positive real .
- differs infinitesimally from 1.
- is greater than, but still less than every positive real number.
- is greater than any real number.
- is interpreted as .
- is a valid member of the field, because the series is to be construed formally, without any consideration of convergence.
Read more about this topic: Levi-Civita Field
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—Bernard Mandeville (1670–1733)