How To Use Leibniz In A Sentence
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The activity, or appetition, that Leibniz regards as characterizing the monads is intimately bound up with his Principle of Sufficient Reason.
Continental Rationalism
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Since Leibniz 'time the term monad has been used by various philosophers to designate indivisible centres of force, but as a general rule these units are not understood to possess the power of representation or perception, which is the distinguishing characteristic of the Leibnizian monad.
The Catholic Encyclopedia, Volume 10: Mass Music-Newman
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While Newtonian matter-theory was depicted as a rival to Leibnizian immaterialism in the mid-18th century, in for example the Institutions de Physique of Mme du Chatelet, Newton was no ordinary corpuscularian or mechanical philosopher, and Kant did not have to contend with that now old-fashioned ontology.
Kant and Leibniz
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All this depended in turn on mathematical progress, notably calculus developed by Newton and Leibniz, which allowed for actuarial calculations.
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In mathematics, Newton was the first to develop a full range of algorithms for symbolically determining what we now call integrals and derivatives, but he subsequently became fundamentally opposed to the idea, championed by Leibniz, of transforming mathematics into a discipline grounded in symbol manipulation.
Isaac Newton

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The edition of Leibniz's philosophical works in Latin and French, published by Rudolph Erich Raspe (Leibniz 1765; cf. Hallo 1934) contained some up to then unpublished letters and six pieces from the unpublished papers, of which two, “Difficultates quaedam logicae” and “Historia et commendatio linguae charactericae”, are relevant to logic.
Leibniz's Influence on 19th Century Logic
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Nor did the Leibnizian method of differentials escape Berkeley's strictures.
Continuity and Infinitesimals
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He had weekly meetings with her and at her request he entered into dispute with Leibniz over the nature of space and time.
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Leibniz, meanwhile, believed every atom in the universe to have a soul, the universe being a projection through them of God's will, like a cosmic hologram.
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[For a reinterpretation of Leibniz, with an eye to tropes inter alia, see C. Schneider (2001), bearing in mind Leibniz's own words: “Interpretari est docere circa orationem seu orationem non satis cognitum facere cognitum.”]
Tropes
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Yet the pre-established harmony was at least consistent with Leibniz's claim that substances do not interact with one another and that what we call “causal interaction” does not involve a flow of power or force, but merely a regular sequence of changes in two observable things, in the case of mind and body, the experiences of perception and appetition and states of the sensory organs (G 4: 76-7.)
Kant and Leibniz
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While it is still a program or a complete concept, on Leibniz's view, that does imply determination or necessitation.
Leibniz's Modal Metaphysics
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Given Trendelenburg's special emphasis in presenting the Leibnizian system, his significance for the mathematical reception of Leibniz's ideas in the context of the emergence of formal mathematics and mathematical logic in the second half of the 19th century is astonishing.
Leibniz's Influence on 19th Century Logic
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Hobbes and Spinoza, despite their own differences, advanced, or were read as advancing, a number of objectionable and deeply troubling theses which Leibniz (and most of his contemporaries) saw as an enormous threat: materialism, atheism, and necessitarianism.
Gottfried Wilhelm Leibniz
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This antirationalism would have been unthinkable in a Leibnizian text.
Kant and Leibniz
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Now, the principle for doing that is demonstrated by the catenary principle, otherwise known as the principle of least action; that is, Leibniz's principle of least action.
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Leibniz plans a system of characters capable of such precise calculation that mental error would be equivalent to an error of computation.
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What is clear but usually overlooked is that Bradley himself saw Leibnizian monadism as the greatest challenge to his own brand of idealism:
Francis Herbert Bradley
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Schlegel, placing Leibniz "among the greatest masters" of a "thoroughly material wit," describes his manner of writing and thinking as falling between science, philosophy, and poetry: "The most important scientific discoveries are bon mots of this sort — are so because of the surprising contingency of their origin, the unifying source of their thought, and the baroqueness of their casual expression ....
Club Monad
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Leibniz, in which the doctrine of monadism occupies a position of paramount importance.
The Catholic Encyclopedia, Volume 10: Mass Music-Newman
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But if one grants, as Leibniz does, that that there is an infinitesimal straight stretch of the curve (a side, that is, of an infinilateral polygon coinciding with the curve) between abscissae 0 and e, say, which does not reduce to a single point then e cannot be equated to 0 and yet the above argument shows that e2 = 0.
Continuity and Infinitesimals
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The relation of having opposite spin that is had by electrons in the singlet state is clearly such an irreflexive relation and Saunders argues that, since by Leibniz's law, the holding of an irreflexive relation aRb entails the existence of distinct relata a and
Structural Realism
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In arithmetic, and in other disciplines as well, truths remain the same even if notations are changed, and it does not matter whether a decimal or a duodecimal number system is used (Leibniz 1670, 128).
Thomas Hobbes
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Luxury hotels london saw unmedical leibnizian cistern in a treed unfitting sky with sanguification thickset super crystallite menyanthes and agamogenetic.
Rational Review
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The primordial nature is God's envisagement of all possibilities; in the idiom of Leibniz, it is God's knowledge of all possible worlds.
Process Theism
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Leibniz's doctrine was too predestinarian even for Protestants, for it implied that God was the author of sin.
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The novella begins with a young man, Candide, who is living a sheltered life in an Edenic paradise and being indoctrinated with Leibnizian optimism (or simply optimism) by his tutor, Pangloss.
Archive 2009-03-01
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Tiffany argues that an affinity-based model of culture may be understood through a dialogue between Leibniz's monadic thought and the "placeless places" of modern nightlife.
About This Volume
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Leibniz, for all his Aristotelian credentials, was not acutely aware of the Aristotelian Problem of First Principles.
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Leibniz plans a system of characters capable of such precise calculation that mental error would be equivalent to an error of computation.
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Conditions of Newton - leibniz formula are studied, and corresponding examples are given.
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An artwork then, when seen as one of Leibniz's monads, is its own universe but its perspective is within the larger totality of society in which the other artworks reside and refer.
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For Leibniz, there can be no such thing as a perfect vacuum.
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Leibniz plans a system of characters capable of such precise calculation that mental error would be equivalent to an error of computation.
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The antinomy is the conflict inherent in the “cosmological idea” of the world as a whole; looked at historically, it is the conflict between opposing theories in rational cosmology (one of the four divisions of metaphysics in the Leibniz-Wolffian system then current in Germany).
ANTINOMY OF PURE REASON
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Newton - Leibniz ( or Leibnitz ) ( lie - bnits ) formula.
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Here Leibniz 'ideal of a calculus of reasoning (calculus ratiocinator) comes to the fore again.
AXIOMATIZATION
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If the transcendental philosophy is not a version of Leibnizian rationalism, why is it not a repetition of the sceptical empiricism of Hume?
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That is the one and only actual meaning of the use of the term infinitesimal by Leibniz.
LaRouche's Latest
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Leibniz believes that most important in the characteristics of the Monad is the spirit of nature, and it's own initiative force.
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As a rule, Leibniz emphasized the certainty of his metaphysical principles rather than the contingent nature of empirical knowledge.
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Descartes, and Leibniz gave this tradition a rationalist twist centered on the powers of human reason; it became the project of a universal framework of exact categories and ideas, a mathesis universalis.
The Unity of Science
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For further information see: www. leibniz-gemeinschaft.de.
Innovations-report
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By examining the limits of sums, products and quotients of variable quantities, Mengoli was setting up the basic rules if the calculus thirty years before Newton and Leibniz.
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According to Leibniz, the whole world is an aggregate of monads.
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Leibniz wrote to the electress to suggest that the plans for the observatory be widened to embrace an Academy of Sciences.
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However, the Eighteenth-Century defenders of the incompetence of both Descartes and Newton, such as de Moivre, D'Alembert, Euler, and Lagrange, claimed to have proven their case against Leibniz, by simply accepting de Moivre's proposal that they agree to denounce what they termed, fraudulently, as "imaginary" roots of the relevant cubic and biquadratic functions.
LaRouche's Latest
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Hence we must find another interpretation for Leibniz's statement that our motives and desires may incline us, or influence us, to choose without thereby necessitating us to choose.
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In addition, Leibniz's theory of monadic perception — a psychology of ontological substance — provided the philosophical rationale for placing sensation, intellection, and feeling on a continuum, so that perception, or feeling, might be regarded as a "confused" form of thinking, yet remain clear in its effect.
Club Monad
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One of the conservation laws that Leibniz takes to govern the behavior of material bodies is what he calls the conservation of relative velocity (GM VI. 227/Langley 667).
Leibniz's Philosophy of Physics
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The philosophy, to which Leibniz thus ascribed irenics as one of its chief aims, is a partial idealism.
The Catholic Encyclopedia, Volume 9: Laprade-Mass Liturgy
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If the transcendental philosophy is not a version of Leibnizian rationalism, why is it not a repetition of the sceptical empiricism of Hume?
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He believed in a rationally immanent world, but he rejected the hylozoism implicit in Leibniz and Baruch Spinoza.
Obama Lit In South Carolina Proclaims His Committed Christianity
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The monadism of Leibniz is evidently panpsychistic.
The Catholic Encyclopedia, Volume 11: New Mexico-Philip
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Now a partless, or indivisible entity does not necessarily have to be infinitesimal: souls, individual consciousnesses, and Leibnizian monads all supposedly lack parts but are surely not infinitesimal.
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One must bear in mind, however, that Benjamin's monadology of the Arcades always reverts to an understanding of language and its role in configuring experience, a deductive regression also characteristic of Leibniz's formulation of monadic substance.
Club Monad
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In it, Leibniz sets out a series of distinctions for human knowledge or cognition (cognitio): knowledge is either obscure or clear; clear knowledge is either confused or distinct; distinct knowledge is either inadequate or adequate; and adequate knowledge is either symbolic or intuitive.
Gottfried Wilhelm Leibniz
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Leibniz plans a system of characters capable of such precise calculation that mental error would be equivalent to an error of computation.
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Leibniz's theory of monadic "perception" is obscure in part because it does not involve — in its most rudimentary form — the experience of sense perception, or sensation; it erodes the absolute distinction (dear to Kant) between thinking and perceiving — an idea of explosive importance for
Club Monad
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The Dutch clockmaker's discovery was all the more striking because he arrived at his results before the advent of the calculus of Newton and Leibniz.
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Clarke vigorously denied Leibniz ' charge that extension is incompatible with divine simplicity because it introduces parts in God without making any reference to holenmerism, and this intimates that he thought of divine omnipresence in terms of local extension and dimensionality.
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If denial of Leibniz equivalence is a blunder so egregious that no competent mathematician would make it, then our standards for competence have become unattainably high, for they must exclude David Hilbert in 1915 at the height of his powers.
The Hole Argument
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While in the court of the Elector, Leibniz composed a series of works in philosophical theology, the Catholic Demonstrations, which are another manifestation of Leibniz's lifelong irenicism: in this case, in their attempt to provide a basis and justification for the reconciliation of Protestantism and Catholicism.
Gottfried Wilhelm Leibniz
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He had his doubts about Leibniz and Spinoza, because their systems rested upon questionable and indemonstrable first principles.
August Wilhelm Rehberg
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His arithmetic books were used by many mathematicians including Leibniz and Descartes.
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It is Leibniz's response to Hobbesian and Spinozistic necessitarianism that is perhaps of greatest interest, for he sought to develop an account of action and freedom that would preserve divine and human freedom.
Gottfried Wilhelm Leibniz
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In other words, Leibniz can be interpreted as advocating, at least in this period, a kind of Aristotelian hylomorphism, in which substances are composites of matter and form.
Gottfried Wilhelm Leibniz
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But did early “modern” logicians like Boole, Schröder, or Frege have any knowledge of Leibnizian logic, i.e., could Leibniz have had any influence on these pioneers of modern logic?
Leibniz's Influence on 19th Century Logic
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The catenary is a physical curve, sometimes identified as the funicular curve, rather than a formally geometric curve, a physical curve which lies at the center of the most crucial foundations of modern European physical science, including such outcomes as the Leibniz-Jean Bernouilli development of the crucial physical principle of a universal physical principle of least action.
LaRouche's Latest
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A fundamental question is: How valid are these similarities that Leibniz perceived?
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Nothing therefore exists, according to Leibnizian metaphysics, but an endless series of immanent representations coordinated among the infinity of monads — though the term
Club Monad
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Leibniz was also concerned with a related idea, that of the algorithm.
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Theodicy is the term coined by the eighteenth-century philosopher Leibniz, and he applied this term theodicy to just that kind of philosophical sentiment that's implied by its etymology.
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Then in his responses to necessitarianism Leibniz can say that the necessitarianism he's avoiding is a logical necessitarianism.
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Some theologians of today would seek to come to an understanding with modern science, which bases all natural processes upon the very fruitful theory of energy, by trying with Leibniz to explain the Eucharistic accidentia sine subjecto according to the dynamism of natural philosophy.
The Catholic Encyclopedia, Volume 5: Diocese-Fathers of Mercy
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Leibniz, in his discussion of contingency, had already recognized that existence is quite different from ordinary predicates.
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According to Leibniz, the world is made up of indivisible, but nevertheless complex, self-sufficient units that he called monads.
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Ten years later Leibniz, independently, used determinants to solve simultaneous equations although Seki's version was the more general.
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The basis of this accusation was Leibniz's attribution to the soul of only two basic faculties: perception, the representation of multiplicity in a simple soul, and appetition, which he defines as
Kant and Leibniz
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He integrated Leibniz's differential calculus and Newton's method of fluxions into mathematical analysis.
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Leibniz plans a system of characters capable of such precise calculation that mental error would be equivalent to an error of computation.
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In his reply Leibniz gave some details of the principles of his differential calculus including the rule for differentiating a function of a function.
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It follows that the Leibnizian theory of innate ideas is substantially correct.
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Aristotle, for instance, argued that being qua being is the subject of metaphysics when a term reduplicates itself, this is called a reflexive reduplication; Leibniz's principles of identity presuppose reduplicative analysis; Anscombe has noted that her use of the phrase 'under the description' in discussing intention is reduplicative.
Archive 2005-01-01
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The characters in my fable are modern-day versions of Galileo, Newton, and Leibniz.
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Leibniz demanded a retraction saying that he had never heard of the calculus of fluxions until he had read the works of Wallis.
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In the main article on Leibniz, it was claimed that Leibniz's philosophy can be seen as a reaction to the Cartesian theory of corporeal substance and the necessitarianism of Spinoza and Hobbes.
Leibniz's Modal Metaphysics
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One way to think of this is that each substance has a unique series of perceptions programmed by God to play in harmony with all other substances, and the internal tendency of a substance to move from perception to perception is its active force, or what Leibniz also calls appetite or appetition.
Gottfried Wilhelm Leibniz
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Leibniz would say that in such a case some state of Smith's body prior to Sb.was the real cause of Sb.and Sm was not a causal factor in the obtaining of Sb. So although substances do not causally interact, their states accommodate one another as if there were causal interaction among substances.
Leibniz's Philosophy of Mind
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Benjamin's career as a Leibnizian idealist reached its peak and breaking point in his formulation of the guiding principles of The Origin of the German
Club Monad
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In his Begriffsschrift, Frege wrote that the idea of a general characteristic, of a calculus philosophicus or ratiocinator was too ambitious to be achieved by Leibniz alone.
Leibniz's Influence on 19th Century Logic
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Leibniz visited the Royal Society, and demonstrated his incomplete calculating machine.
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Now a line is extended and Leibniz held that extension is a form of repetition, so, a line, being divisible into parts, cannot be a unity.
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Even a metaphysical non-corpuscularian such as Leibniz agreed with Boyle in practical terms.
Sticky Wants to Grab
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Even if God did plan it all knowing that the Jesus events would make for the best of all possible worlds -- to use the Leibnizian phrase -- you still have the question about Adam and Eve.
Michael Ruse: Original Sin, Evolution and Human Origins
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Leibniz considered the possibility of algorithms which would apply to logical argument as well as mathematics.
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By examining the limits of sums, products and quotients of variable quantities, Mengoli was setting up the basic rules if the calculus thirty years before Newton and Leibniz.
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Leibniz's philosophy, Schlegel's philosophical poetry, and "the actual sites of nocturnal culture"; we have to find the correspondence monad-style, expressed and reflected in particularities.
Rei Terada
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Erdmann's edition of the philosophical works and Trendelenburg's presentation of Leibniz's semiotics were the most important steps towards the further reception of Leibnizian ideas among mathematical logicians at the end of the 19th century.
Leibniz's Influence on 19th Century Logic
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The monadism of Leibniz is evidently panpsychistic.
The Catholic Encyclopedia, Volume 11: New Mexico-Philip
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Now Leibniz could retort that that this argument depends crucially on the assumption that the portion of the curve between abscissae 0 and dx is indeed straight.
Continuity and Infinitesimals
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He mentioned the different names used by Leibniz: lingua characterica universalis (in fact Trendelenburg's term; Leibniz used characteristica universalis), alphabet of human thoughts, calculus philosophicus, calculus ratiocinator, spécieuse générale.
Leibniz's Influence on 19th Century Logic
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In 1687 Leibniz asked for the curve along which a particle may descend under gravity so that it moves equal vertical distances in equal times.