The Nature of Infinitesimals: Difference between revisions
Imported from text file |
Expand into detailed book page: lead, overview, about-the-author, publication details, external links, cover in infobox (researched from public sources) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 3: | Line 3: | ||
| image = The Nature of Infinitesimals 1631.jpg | | image = The Nature of Infinitesimals 1631.jpg | ||
| author = [[Peter F Erickson]] | | author = [[Peter F Erickson]] | ||
| published = | | language = English | ||
| subject = Philosophy of mathematics, infinitesimals | |||
| published = 2012 | |||
| publisher = [[Xlibris Corporation]] | | publisher = [[Xlibris Corporation]] | ||
| pages = 260 | | pages = 260 | ||
| isbn = 1479701831 | | isbn = 1479701831 | ||
}} | }} | ||
'''''The Nature of Infinitesimals''''' is a book by the philosopher [[Peter F Erickson]], published by Xlibris (first edition 2012; later editions 2013 and 2016). It is a treatise on the philosophy and history of the infinitesimal and the nature of number. | |||
==Overview== | |||
Erickson states that his purpose is "to prove the existence of the infinitesimal and reveal some important facts regarding the nature of numbers and the outer infinity." He regards the infinitesimal as a key to understanding much of the scientific basis of the universe, and applies the idea to absolute space, time and motion, and to absolute zero temperature. The book interweaves mathematical examples with historical discussion drawn from Aristotle, Kant, Euler, Newton and others, covering potential versus actual infinity, irrational and imaginary numbers, the tangent, and related topics. | |||
Central to the work is what Erickson calls the '''veritable number system''', in which positive and negative numbers are treated as incompatible for the basic mathematical operations. | |||
==About the author== | |||
Peter F. Erickson is a philosopher who writes on the foundations of mathematics and physics. His other books include ''Absolute Space, Absolute Time, & Absolute Motion'' and ''The Nature of Negative Numbers''. | |||
==Publication details== | |||
* '''Author:''' [[Peter F Erickson]] | |||
* '''Publisher:''' [[Xlibris Corporation]] | |||
* '''Published:''' 2012 (later editions 2013, 2016) | |||
* '''Pages:''' 260 | |||
* '''ISBN:''' 1479701831 | |||
==Links to Purchase Book== | ==Links to Purchase Book== | ||
* [ | * [https://www.amazon.com/NATURE-INFINITESIMALS-Peter-F-Erickson/dp/1479701831 The Nature of Infinitesimals] (Amazon) | ||
[[Category:Book|nature infinitesimals]] | |||
Latest revision as of 11:00, 16 July 2026
 | |
| Author | Peter F Erickson |
|---|---|
| Language | English |
| Subject | Philosophy of mathematics, infinitesimals |
| Published | 2012 |
| Publisher | Xlibris Corporation |
| Pages | 260 |
| ISBN | 1479701831 |
The Nature of Infinitesimals is a book by the philosopher Peter F Erickson, published by Xlibris (first edition 2012; later editions 2013 and 2016). It is a treatise on the philosophy and history of the infinitesimal and the nature of number.
Overview
Erickson states that his purpose is "to prove the existence of the infinitesimal and reveal some important facts regarding the nature of numbers and the outer infinity." He regards the infinitesimal as a key to understanding much of the scientific basis of the universe, and applies the idea to absolute space, time and motion, and to absolute zero temperature. The book interweaves mathematical examples with historical discussion drawn from Aristotle, Kant, Euler, Newton and others, covering potential versus actual infinity, irrational and imaginary numbers, the tangent, and related topics.
Central to the work is what Erickson calls the veritable number system, in which positive and negative numbers are treated as incompatible for the basic mathematical operations.
About the author
Peter F. Erickson is a philosopher who writes on the foundations of mathematics and physics. His other books include Absolute Space, Absolute Time, & Absolute Motion and The Nature of Negative Numbers.
Publication details
- Author: Peter F Erickson
- Publisher: Xlibris Corporation
- Published: 2012 (later editions 2013, 2016)
- Pages: 260
- ISBN: 1479701831
Links to Purchase Book
- The Nature of Infinitesimals (Amazon)