It hath been an old remark, that Geometry is an excellent Logic. And it must be owned that when the definitions are clear; when the postulata cannot be refused, nor the axioms denied; when from the distinct contemplation and comparison of figures, their properties are derived, by a perpetual well-connected chain of consequences.
The Analyst
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5.0 out of 5 stars
An intellectual feast,
This review is from: The Analyst a Discourse Addressed to an Infidel Mathematician (Paperback)
The Analyst, subtitled A DISCOURSE Addressed to an Infidel Mathematician, is a book published by George Berkeley in 1734. The infidel mathematician in question is believed to have been either Edmond Halley, or Sir Isaac Newton himself, although the discourse would then have been posthumously addressed as Newton died in 1727.The Analyst represented a direct attack on the foundations and principles of calculus, and in particular the notion of fluxion or infinitesimal change which Newton and Leibniz had used to develop the calculus. Berkeley's intention seems to have been to defend religion by showing that the foundations of natural philosophy were equally weak. As a consequence of the resulting controversy, the foundations of calculus were rewritten in a much more formal and rigorous form using limits. It was not until 1966, with the publication of Abraham Robinson's book Non-standard Analysis, that the concept of the infinitesimal was made rigorous, thus giving an alternative way of overcoming the difficulties which Berkeley discovered in Newton's original approach.
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1. Though I am a stranger to your person, yet I am not, Sir, a stranger to the reputation you have acquired in that branch of learning which hath been your peculiar study; nor to the authority that you therefore assume in things foreign to your profession; nor to the abuse that you, and too many more of the like character, are known to make use of such undue authority, to the misleading of unwary persons in matters of the highest concernment, and whereof your mathematical knowledge can by no means qualify you to be a competent judge. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
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1. Though I am a stranger to your person, yet I am not, Sir, a stranger to the reputation you have acquired in that branch of learning which hath been your peculiar study; nor to the authority that you therefore assume in things foreign to your profession; nor to the abuse that you, and too many more of the like character, are known to make use of such undue authority, to the misleading of unwary persons in matters of the highest concernment, and whereof your mathematical knowledge can by no means qualify you to be a competent judge. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Quadraturam Curvarum New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Surprise Me!
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