From Spanish and Portuguese travelers to Maupertuis, the problem of albinos, or ‘white Negroes’, as they would be called, has been an epitome of strangeness, a disturbing and/or marvelous appendix to human essence, and has often been instrumental to various definitions of identity. Some major historical and cultural episodes concerning the int…[Read more]

Descartes’ Regulae are the first text in which the idea of ​​a universal mathematics is put in connection with algebra. Young Descartes thinks of geometrical figures as a representation of algebraic procedures so as to guarantee its feasibility: i.e., an epistemological foundation of analysis. The young Leibniz starts from a similar problem. He…[Read more]

The role of insensible appetitions (similar to insensible perceptions, or petites perceptions) in Leibniz’s theory of appetite and will is sketched. Since such insensible appetitions are the medium of interaction, through the body, between the individual and the physical world, and the form in which, at a microscopic level, environmental…[Read more]

The paper addresses the first phase in the reception of Leibniz’s Monadology, starting with Johann Christoph Gottsched’s dissertation of 1721, until the publication of the essays presented for the prize question on monads proposed by the Berlin Academy of Sciences 25 years later. A critical edition of Gottsched’s “Dubia circa monades L…[Read more]

IL REALE E L’IMMAGINARIO. Critica dell’infinito e dell’infinitesimo. Continuo reale e ideale. La metafisica del calcolo. Immaginario e immaginazione. Bibliografia

METAFISICA E MATEMATICA. Continuo e discreto. L’ambiguità dell’attimo. Il principio di continuità. Forza viva e forza morta. Tra Platone e Democrito

L’INTERPRETAZIONE DEL CALCOLO. Il nuovo secolo. La ripresa delle ostilità. La giustificazione del calcolo infinitesimale. Tra sé e sé. Interpretazione e immaginario. Regole e princìpi

LE PRIME CONTROVERSIE. Quantità incomparabilmente piccole. Il primo contendente. La disputa con Nieuwentijt. Irrealtà dell’infinitesimo. Ultimi strascichi polemici

LA PUBBLICAZIONE DEL METODO. Un nuovo algoritmo. La scuola concorrente. Flussioni nel tempo e nello spazio

LA NASCITA DEL CALCOLO LEIBNIZIANO: La geometria degli indivisibili. Infiniti indivisibili attuali. Gli anni d’apprendistato di Leibniz. L’aritmetica degli infinit.i Verso l’analisi infinitesimale. Il triangolo caratteristico. La fondazione del calcolo

INTRODUZIONE: Metafisica dell’infinitamente piccolo. L’analisi leibniziana. L’infinitesimo e il calcolo. La scomposizione del mutamento

Detlev Clüver (1645-1708) was among the first to criticize Leibniz’s new infinitesimal analysis. Although his criticisms were vague and his methods inconsistent, Leibniz had always for him a friendly sort of consideration. The article presents Clüver’s biography, writings, and thought, together with a detailed description of Leibniz’s relations t…[Read more]

A particular aspect of the confrontation between modern philosophy and the aristotelian tradition regards the so-called psychology of faculties. On this ground, it is for modern thought much harder, in comparison to the field of natural sciences, to differentiate itself from concepts, theories, and terminologies which characterize the still…[Read more]