Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 Leibniz, Baron Gottfried Wilhelm von 16461716. German philosopher and mathematician. He invented differential and integral calculus independently of Newton and proposed an optimist metaphysical theory that included the notion that we live in "the best of all possible worlds.”
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. German philosopher and mathematician who thought of the universe as consisting of independent monads and who devised a system of the calculus independent of Newton (16461716)
Etymologies
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Examples

Leibniz, is essentially a medium — a mirror in constant flux.

Leibniz is known today principally as one of the founders of modern logic, as perhaps the greatest mathematician among the major European philosophers (he was the inventor of infinitesimal calculus), and, as

The essence of monads as thinking elements or atoms in Leibniz remains crucial, however, and is especially pertinent in the present context.

1671: James Gregory discovers what we call the Leibniz Series an infinite series that sums to pi/4

5 The phrase "labyrinth of the continuum" appears in Leibniz,

1 The role of the idea of philosophical style in Leibniz's thought is carefully delineated in Fenves 1332. close window

Going back to the Meno example, the slave can see that the squares Socrates has scratched out in the dirt stand in a certain relation, but he ends up knowing that such a connection must hold of any possible set of squares that meets Socrates 'initial description; that it holds ” to use a phrase Leibniz introduced ” in all possible worlds.

Each such image is a Leibnizlike monad, itself structured as a world (rather than merely a mirror of the World, as in Leibniz), as all monads together are organized into the nonfractal and nonwhole World, which is the Blakean infinite. [
Chaosmic Orders: Nonclassical Physics, Allegory, and the Epistemology of Blake's Minute Particulars.

Sometimes the conjunction of both principles, rather than the Principle by itself, is known as Leibniz's Law.

The classes of logics we have considered so far are the main classes in what has come to be known as the Leibniz hierarchy because it members are classes of logics that can be characterized by the behaviour of the Leibniz operator.
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