G. W. Leibniz



Pioneer Journal where reappraisal appeared Title Link to article containing reappraisal
Gottfried Leibniz Notices AMS "Leibniz's laws of continuity and homogeneity" 12e
Gottfried Leibniz Erkenntnis "Leibniz's infinitesimals: Their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond" 13f
Gottfried Leibniz Studia Leibnitiana "Infinitesimals, imaginaries, ideals, and fictions" 14c
Gottfried Leibniz HOPOS "Leibniz versus Ishiguro: Closing a Quarter Century of Syncategoremania" 16a
Gottfried Leibniz Mat. Stud. "Leibniz's well-founded fictions and their interpretations" 18a
Gottfried Leibniz British Journal for the History of Mathematics "Procedures of Leibnizian infinitesimal calculus: An account in three modern frameworks" 21a
Gottfried Leibniz Antiquitates Mathematicae "Three studies in current Leibniz scholarship" 21g
Gottfried Leibniz Review of Symbolic Logic "Leibniz on bodies and infinities: rerum natura and mathematical fictions" 22a
Gottfried Leibniz The Mathematical Intelligencer "Two-track depictions of Leibniz's fictions" 22b

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.








See also Salvaging Leibniz
Stevin
Fermat
Euler
Cauchy
Riemann
Cantor
Skolem
Infinitesimal topics
More on infinitesimals
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