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The Analyst, Or, a Discourse Addressed to an Infidel Mathematician Wherein It Is Examined Whether the Object, Principles, and Inferences of the Moder
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The Analyst, or a Discourse Addressed to an Infidel Mathematician Wherein It Is Examined Whether the Object, Principles, and Inferences of the Modern Than Religious Mysteries and Points o
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The Analyst; Or, a Discourse Addressed to an Infidel Mathematician, by the Author of 'The Minute Philosopher'
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The Analyst, or a Discourse Addressed to an Infidel Mathematician Wherein It Is Examined Whether the Object, Principles, and Inferences of the Modern Than Religious Mysteries and Points o
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The Analyst, or a Discourse Addressed to an Infidel Mathematician Wherein It Is Examined Whether the Object, Principles, and Inferences of the Modern Than Religious Mysteries and Points o
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The Analyst; Or, a Discourse Addressed to an Infidel Mathematician: Wherein it Is Examined Whether the Object, Principles, and Inferences of the Modern Analysis Are More Distinctly Conceived, or More Evidently Deduced, Than Religious Mysteries and Points of Faith
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The Analyst, or a Discourse Addressed to an Infidel Mathematician: Wherein It Is Examined Whether the Object, Principles, and Inferences of the Modern Analysts Are More Distinctly Conceived, or More Evidently Deduced, Than Religious Mysteries and Points o
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The Analyst, or a Discourse Addressed to an Infidel Mathematician Wherein It Is Examined Whether the Object, Principles, and Inferences of the Modern Than Religious Mysteries and Points o
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The Analyst, or a Discourse Addressed to an Infidel Mathematician: Wherein It Is Examined Whether the Object, Principles, and Inferences of the Modern Analysts Are More Distinctly Conceived, or More Evidently Deduced, Than Religious Mysteries and Points o
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THE ANALYST; OR, A DISCOURSE ADDRESSED TO AN INFIDEL MATHEMATICIAN. Wherein It is examined whether the Object, Principles, and Inferences of the modern Analysis are more distinctly conceived, or more evidently deduced, tha Religious Mysteries and Points of Faith. By the Author of The Minute Philosopher.
Verlag: University of Michigan Library, n.d. University of Michigan Library, n.d.
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In den WarenkorbFacsimile reprint of the 1754 (2nd) edition. 8vo. Prelims. + 231pp. Paperback in original blue wrapps. lettered in cream, ownership inscription to verso of upper wrapp. US$12.
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The Analyst A Discourse Addressed To An Infidel Mathematician
Verlag: Kessinger Publishing, LLC, 2004
ISBN 10: 1419152173 ISBN 13: 9781419152177
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The Analyst Or, a Discourse Addressed to an Infidel Mathematician. in It Is Examined Whether the Object, Principles, and Inferences of the Modern Analysis Are More Distinctly Conceived, Than Religious Mysteries the Second Edition.
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ISBN 10: 1171002386 ISBN 13: 9781171002383
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The Analyst A Discourse Addressed To An Infidel Mathematician
Verlag: Kessinger Publishing, LLC, 2010
ISBN 10: 1161456449 ISBN 13: 9781161456448
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The Analyst: Or, A Discourse Addressed To An Infidel Mathematician. Wherein It Is Examined Whether The Object, Principles, And Infe
Verlag: Creative Media Partners, LLC Okt 2022, 2022
ISBN 10: 1017230420 ISBN 13: 9781017230420
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The Analyst; Or, a Discourse Addressed to an Infidel Mathematician. in It Is Examined Whether the Object, Principles, and Inferences of the Modern Analysis Are More Distinctly Conceived, Than Religious Mysteries the Second Edition.
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The Analyst: Or, A Discourse Addressed To An Infidel Mathematician. Wherein It Is Examined Whether The Object, Principles, And Infe
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ISBN 10: 1017225400 ISBN 13: 9781017225402
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The Analyst; or, a discourse addressed to an infidel mathematician. Wherein it is examined whether the object, principles, and inferences of the modern analysis are more distinctly conceived, or more evidently deduced, than religious mysteries and points of faith
Verlag: printed for Jacob Tonson, London, 1734
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Erstausgabe
First edition. BERKELEY'S FOUNDATIONAL CRITIQUE OF THE CALCULUS . First edition of Berkeley's famous attack on the calculus of Newton and Leibniz, which the historian Florian Cajori described as "the most spectacular event of the century in the history of British mathematics" (History of the Calculus, p. 57), bound with Berkeley's important Theory of Vision (1733) and Defence of Free-Thinking in Mathematics (1735), and five further pamphlets. "The Analyst is a criticism of the calculus, in both its Newtonian and Leibnizian formulations, arguing that the foundations of the calculus are incoherent and the reasoning employed inconsistent. Berkeley's powerful objections provoked numerous responses, and the task of replying to them set the agenda for much of British mathematics in the 1730s and 1740s" (Jesseph, p. 121). Perhaps the most famous passage in the book (p. 59), and a vivid example of Berkeley's wit, is his response to the idea that fluxions could be defined using ultimate ratios of vanishing quantities: 'It must, indeed, be acknowledged, that [Newton] used Fluxions, like the Scaffold of a building, as things to be laid aside or got rid of, as soon as finite Lines were found proportional to them. But then these finite Exponents are found by the help of Fluxions. Whatever therefore is got by such Exponents and Proportions is to be ascribed to Fluxions: which must therefore be previously understood. And what are these Fluxions? The Velocities of evanescent Increments? And what are these same evanescent Increments? They are neither finite Quantities nor Quantities infinitely small, nor yet nothing. May we not call them the Ghosts of departed Quantities?' Modern historians have argued that the expression 'Ghosts of departed Quantities' was intended to address both Leibnizian infinitesimals and Newtonian fluxions. "Berkeley's attack on the calculus pointed out real deficiencies his attack was also incisive, witty, and infuriating. Many mathematicians were moved to try to answer it. In fact, several important eighteenth-century discussions of the foundations of the calculus can be traced back to Berkeley's attack. For instance, Maclaurin's monumental two-volume A Treatise ofFluxions began as a reply to Berkeley. Berkeley's attack had a more lasting effect than simply stimulating an immediate set of replies; it served to keep the question of foundations alive and under discussion, and it pointed to the questions which had to be answered if a successful foundation were to be given. D'Alembert and Lazare Carnot both used some of Berkeley's arguments in their own discussions of foundations, and Lagrange took Berkeley's criticisms with the utmost seriousness" (Grabiner, p. 27). Despite these 18th century attempts, calculus was not placed on a secure foundation until around 1820, with the work of Bolzano and Cauchy on the theory of limits. The 'Infidel Mathematician' in the title is thought to be Edmund Halley (1656-1742). "As a result [of the publication of The Analyst], there appeared within the next seven years some thirty pamphlets and articles which attempted to remedy the situation. The first appeared in 1734, a pamphlet by James Jurin, Geometry No Friend to Infidelity . Berkeley answered Jurin in 1735, in A Defence of Freethinking in Mathematics [bound in the offered volume], and justly asserted that the latter was attempting to defend what he did not understand. In this work Berkeley again appealed to the divergence in Newton's views as presented in De analysi, the Principia, and De quadratura to show a lack of clarity in the ides of moments, fluxions, and limits . In the meantime, however, numerous attempts, some noteworthy and others insignificant, were made to find new and more satisfactory forms and arguments in which to present Newton's method. By far the ablest and most famous of these was made by Colin Maclaurin. In his Treatise of Fluxions, in 1744, he aimed not to alter the conceptions invlolved in Newton's fluxions, but to demonstrate the validity of his method by rigorous procedures of the ancients to deduce the new analysis from a few 'unexceptional principles'. Maclaurin professed in the preface of this work that the Analyst controversy had given occasion to his treatise" (Boyer). Berkeley's Theory of Vision (1733), also bound into this volume, is a follow-up and defence of his earlier Essay towards a New Theory of Vision (1709) in which he had attacked Newton's cosmology. Keynes describes the 1733 as a work "of major importance". "Most mathematicians who dealt with calculus techniques in the early 18th century did not worry overmuch about foundational questions. Indeed, it is significant that the first intensive discussion on the foundations of the calculus was not caused by difficulties encountered in working out or applying the new techniques, but by the critique of an outsider on the pretence of mathematicians that their science is based on secure foundations and therefore attains truth. The outsider was Bishop George Berkeley (1685-1753), the famous philosopher, and the target of his critique is made quite clear in the title of [the present work]. In sharp but captivating words he exposed the vagueness of infinitely small quantities, evanescent increments and their ratios, higher-order differentials and higher-order fluxions (para. 4): 'Now as our Sense is strained and puzzled with the perception of Objects extremely minute, even so the Imagination, which Faculty derives from Sense, is very much strained and puzzled to frame clear Ideas of the least Particles of time, or the least Increments generated therein: and much more so to comprehend the Moments, or those Increments of the flowing Quantities in statu nascenti, in their very first origin or beginning to exist, before they become finite Particles. And it seems still more difficult, to conceive the abstracted Velocities of such nascent imperfect Entities. But the Velocities of the Velocities, the second, third, fourth and.
