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Vor einem Tag · The differences between Leibniz's and Newton's interpretations came to a head in the famous Leibniz–Clarke correspondence. Philosophers in the 17th and 18th century questioned if time was real and absolute, or if it was an intellectual concept that humans use to understand and sequence events. [53]
Vor 2 Tagen · Leibniz is not attempting to establish the finitude of the past, as the Kalam cosmological argument does, and so grants that the series of contingent beings may be infinite. Thus, an ultimate reason for Leibniz is not intended to be a first cause that is temporally prior to all contingent things. Rather, it is intended to be a metaphysical ground that is ontologically prior to all contingent ...
Vor 23 Stunden · For this, Leibniz lampooned him: "God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion." Newton's position was vigorously defended by his follower Samuel Clarke in a famous correspondence.
Vor 5 Tagen · \) To solve it, we first use the Leibniz substitution: \( u = y^{2} \quad \Longleftrightarrow \quad y = u^{1/2} . \) Then \( y' = \frac{1}{2}\, u^{-1/2} u' \quad \Longrightarrow \quad y\,y' = \frac{1}{2}\, u' \) and we get the linear differential equation
Vor 2 Tagen · First-order logic —also known as predicate logic, quantificational logic, and first-order predicate calculus —is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so ...
Vor 2 Tagen · Nature Immunology - Author Correction: c-Maf-dependent Treg cell control of intestinal TH17 cells and IgA establishes host–microbiota homeostasis
Vor 2 Tagen · Without this assumption, the new method exploits semismoothness to obtain pairs of directionally active generalized gradients such that it can only converge to Clarke stationary points. Numerical results illustrate the theoretical findings.
