Pioneer |
Journal where reappraisal appeared |
Title |
Link to article containing reappraisal |

G.W. Leibniz | Notices AMS | "Leibniz's laws of continuity and homogeneity" | 12e |

G.W. Leibniz | Erkenntnis | "Leibniz's infinitesimals: Their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond" | 13f |

G.W. Leibniz | Studia Leibnitiana | "Infinitesimals, imaginaries, ideals, and fictions" | 14c |

G.W. Leibniz | HOPOS | "Leibniz versus Ishiguro: Closing a Quarter Century of Syncategoremania" | 16a |

G.W. Leibniz | Mat. Stud. | "Leibniz's well-founded fictions and their interpretations" | 18a |

G.W. Leibniz | British Journal for the History of
Mathematics | "Procedures of Leibnizian infinitesimal calculus: An account in three modern frameworks" | 21a |

G.W. Leibniz | Antiquitates
Mathematicae | "Three studies in current Leibniz scholarship" | 21g |

G.W. Leibniz | The Mathematical Intelligencer | "Two-track depictions of Leibniz's fictions" | 22b |

G.W. Leibniz | Antiquitates Mathematicae | "Historical infinitesimalists and modern historiography of infinitesimals" | 22a |

G.W. Leibniz | The Mathematical Intelligencer | "Is pluralism in the history of mathematics possible?" | 23a |

G.W. Leibniz | Revista Latinoamericana de Filosofía | "When does a hyperbola meet its asymptote? Bounded infinities, fictions, and contradictions in Leibniz" | 23h |

G.W. Leibniz | Handbook of the History and Philosophy of Mathematical Practice | "Evolution of Leibniz's thought in the matter of fictions and infinitesimals" | 23i |

G.W. Leibniz | Review of Symbolic Logic |
"Leibniz on bodies and infinities: rerum natura and
mathematical
fictions" | 24a |

*G. W. Leibniz* (1646-1716) wrote in a 14/24 june 1695 letter
to l'Hospital:

"I use the term *incomparable magnitudes* to
refer to [magnitudes] of which one multiplied by any finite number
whatsoever, will be unable to exceed the other, in the same way
[adopted by] Euclid in the fifth definition of the fifth book
[of *The Elements*]."

In modern editions of *The Elements*, the definition of
comparability appears in Book V, Definition 4.

Leibniz's comment in the original French can be viewed
here, page 288

See also Depictions.

Leibniz |
NSA |

relation of infinite proximity | standard part |

law of continuity | transfer principle |

infinitum terminatum | line segment of unlimited length |

assignable vs inassignable number | standard vs nonstandard number |

infinitesimal violates Euclid V.4 | infinitesimal violates Archimedean property |

constant differentials | uniform partition into infinitesimal subsegments |

See also
Salvaging Leibniz

Stevin

Fermat

Euler

Cauchy

Riemann

Cantor

Skolem

Robinson

Hrbacek

Infinitesimal topics

More on infinitesimals

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