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Peter F. Erickson

View count: 813
Erickson, Peter F.     (Easy Link: http://www.worldsci.org/people/Peter_Erickson)

Interests: Infinity, Infinitesimals, Philosophy of Science
Nationality: USA
Member since: 2004

Related Websites:
Infinity Absolute


Books:
2013The Nature of Infinitesimals
2011The Nature of Negative Numbers
2008Absolute Space, Absolute Time, & Absolute Motion

Abstracts Online:
2008The Spatial Infinitesimal: The Spatial Infinitesimal is the Final, Indivisible Element of Space
2008The Nature of Time: There Exists an Infinitesimal of Time Within Which Division is Impossible
2005The Solution to the Mystery of the Square Root of Minus One
2006Absolute Space, Absolute Time, & Absolute Motion
2007The Spatial Infinitesimal
2007The Hidden Opportunities in the Derivative
2009Further Discoveries About the Veritable Number System
2009Quaternions, Vectors, and Veritable Numbers
2011Division in the Veritable Number System
2010On Understanding Negative Numbers
2012George De Bothezat's Teaching on the Infinitesimal
2013Bertrand Russell and "Continuity"

Event Attendence:
2017-07-19CNPS 2017 International ConferenceConference will attend
2013-07-1120th Natural Philosophy Alliance ConferenceConference (Absentia)will attend
2012-07-2519th Natural Philosophy Alliance ConferenceConference (Absentia)
2011-07-0618th Natural Philosophy Alliance ConferenceConference (Absentia)
2010-06-25Sagnac Awards BanquetAwards
2010-06-2317th Natural Philosophy Alliance ConferenceConference
2009-05-2516th Natural Philosophy Alliance ConferenceConference
2009-04-12Expanding Earth / We are Currently in the Middle of a Major Scientific RevolutionVideo Conference
2009-03-29BSM - Supegravitation Unified Theory - A New Approach in PhysicsVideo Conference
2009-02-15A Structural Approach to ScienceVideo Conference
2009-02-08Reality and Meaning in ScienceVideo Conference
2008-11-30NPA 2009 Conference Planning CommitteeVideo Conference
2008-10-26NPA Paper Submission GuidelinesVideo Conference
2008-10-19NPA CommitteesVideo Conference
2008-04-0715th Natural Philosophy Alliance ConferenceConference
2007-05-2114th Natural Philosophy Alliance ConferenceConference
2006-04-0313th Natural Philosophy Alliance ConferenceConference
2005-05-2312th Natural Philosophy Alliance ConferenceConference

Biography

Peter has spent much of his life in the contemplation of issues involving infinity. He graduated in 1961 from Stanford University. In 1975, he wrote Introduction to the Tripartie System: A Monetrary Program for Americans. In 1997, his critical work, The Stance of Atlas was published. In 2003, Passport to Poverty: the '90s Stock Market and What It Can Still Do To You appeared. In 2006, he published Absolute Space, Absolute Time, Absolute Motion, perhaps, the most complete exposition of infinitesimals ever written. It also introduced the veritable number system, which solves the mystery of the square root of negative one. This year (2010), The Nature Of Negative Numbers will present an exposition of veritable numbers.

Books by Peter F. Erickson



View count: 67411
Absolute Space, Absolute Time, & Absolute Motion

by Peter F. Erickson

Pages: 268
Publisher: Xlibris Corporation
Year: 2008
ISBN: 1599261170
ISBN: 978-1599261171

Websites: www.infinityabsolute.com
Buy it now

Description

Absolute Space, Absolute Time, and Absolute Motion exist. These are shown to be facts through an investigation of the nature of infinitesimals. Knowledge of that nature also makes the irrational magnitudes within the unit comprehensible. The number line is shown to be cognitively superior to set theory; furthermore, non-Euclidean geometry is shown to be a mere manipulation of symbols and not an expression of a "parallel universe." Inside, the reader will also learn about a hitherto unknown number system locked within _-1. He will also discover in the infinitesimal calculus a hidden key to a level of reality beneath that of nano-technology.. The foundation of science is not some vague generality, but the exercise of reason as originating from the human sensorium. There is no difference between mathematical and ordinary inductive reasoning.

Review from Kirkus Discoveries

Erickson explores and explains the infinite and the infinitesimal with application to absolute space, time and motion, as well as absolute zero temperature in this thoughtful treatise.

Mathematicians, scientists and philosophers have explored the realms of the continuous and the discrete for centuries. Erickson delves into the history of these concepts and how people learn and understand them. He regards the infinitesimal as the key to understanding much of the scientific basis of the universe, and intertwines mathematical examples and historical context from Aristotle, Kant, Euler, Newton and more with his deductions—resulting in a readable treatment of complex topics. The reader will gain an understanding of potential versus actual infinity, irrational and imaginary numbers, the infinitesimal, and the tangent, among other concepts. At the heart of Erickson’s work is the veritable number system, in which positive and negative numbers are incompatible for the basic mathematical operations of addition, subtraction, multiplication, division, roots and ratios. This number system, he demonstrates, can provide a new interpretation of imaginary numbers, as a combination of the real and the veritable. Erickson further explores limits, derivatives and integrals before turning his attention to non-Euclidean geometry. In each topic, he applies his new understanding of the infinitesimal to the ideas of mathematics and draws conclusions. In the case of non-Euclidean geometry, the author determines that it’s inconsistent with the infinitesimal. Erickson supplies illustrative examples both in words and images—he clearly defines new notation as needed for concepts such as eternity, the infinitesimal, the instant and an unlimited quantity. In the final chapters, the author addresses absolute space, time and motion through the lens of the infinitesimal. While explaining his deductions and thoughts on these complex topics, he raises new questions for his readers to contemplate, such as the origin of memory. A weighty tome for devotees of mathematics and physics that raises interesting questions.



View count: 46452
The Nature of Negative Numbers

by Peter F. Erickson

Pages: 174
Publisher: Fluxion Press
Year: 2011
ISBN: 1463761600
ISBN: 978-1463761608

Description

There is a famous number that contradicts the real law of signs. That number is Sqrt(-1). Some regard this exception to be a member of its own tiny number system, whereas others hold that it is something else that only looks like a number. Its ontological status will be established in the course of this book.

More importantly, another number system that has been invented by the author will be presented. Based upon a different law of signs, it is fully consistent with square roots of negative numbers. This is the veritable number system. The implications are immense.



View count: 31976
The Nature of Infinitesimals

by Peter F. Erickson

Pages: 260
Publisher: Xlibris Corporation
Year: 2013
ISBN: 1479701831
ISBN: 978-1479701834

Buy it now

Papers by Peter F. Erickson



The Spatial Infinitesimal: The Spatial Infinitesimal is the Final, Indivisible Element of Space

(2008)

Peter F. Erickson

Proceedings of the NPA, Volume 5, No. 1, pp. 50-53

2008, 15th Natural Philosophy Alliance Conference, Albuquerque, NM, United States
Keywords: Infinitesimal, Space

Lookup: space (104)

Abstract:

Space is three-dimensional only, and consists of infinitesimals. Infinitesimals are points of location, without area, shapeless, indivisible, continuous in all directions. Nothing inconsistent with them, such a square circle, can exist. There is no microscopic infinity. Knowing that they exist provides the answer to the mystery of irrational numbers, asymptotes, "infinite series," and much else.

This paper aka "The Nature of Space".




The Nature of Time: There Exists an Infinitesimal of Time Within Which Division is Impossible

(2008)

Peter F. Erickson

Proceedings of the NPA, Volume 5, No. 1, pp. 54-57

2008, 15th Natural Philosophy Alliance Conference, Albuquerque, NM, United States
Keywords: Infinitesimal, Time, Divisibility

Lookup: time (100)

Abstract:

Time does not move or flow. Neither is it a fourth dimension. It is completely independent of space, though both necessarily exist. It consists of infinitesimals, the instants. Each instant is discrete; it is here, then no more. Yet, it is continuous; there is no time that is not a time. Our consciousness of time does not come from the senses, but from memory. It is an innate idea.



The Solution to the Mystery of the Square Root of Minus One

(2005)

Peter F. Erickson

Proceedings of the NPA, Volume 2, pp. 25-29

2005, 12th Natural Philosophy Alliance Conference, Storrs, CT, United States
Keywords: real number system, absolute numbers, square root of minus one

Lookup: time (100), absolute (26), numbers (3), square (2), system (2), real (4), one (5)

Abstract:

This is an excerpt from a forthcoming book on the nature of the infinitesimal. This square root of negative one has been in use for centuries. Most consider it to be either something transcendental or a mere direction to perform a certain operation. Einstein used it to help make plausible his idea of the fourth dimension. Actually, neither the idealists nor the logical positivists are correct. The -1 inside the radical sign is from a number system discovered by the author. It is called the "Veritable Number System." It?s special properties are shown herein. It stands with the real number system and absolute numbers as one of the three ways to handle the concept of direction. The author has found some applications to physical science not discussed in this paper. Students of nature and others are welcome to explore the implications of what has been disclosed, and use it to increase man?s knowledge of reality.



Absolute Space, Absolute Time, & Absolute Motion

(2006)

Peter F. Erickson


2006, 13th Natural Philosophy Alliance Conference, Tulsa, OK, United States
Keywords: absolute space, absolute time, absolute, motion

Lookup: motion (71), absolute (26), absolute time (4), absolute space (5), space (104), time (100)

Abstract:

Absolute Space, Absolute Time, and Absolute Motion exist. These are shown to be facts through an investigation of the nature of infinitesimals. Knowledge of that nature also makes the irrational magnitudes within the unit comprehensible. The number line is shown to be cognitively superior to set theory; furthermore, non-Euclidean geometry is shown to be a mere manipulation of symbols and not an expression of a ?parallel universe?. Inside, the reader will also learn about a hitherto unknown number system locked within the square root of negative one. He will also discover in the infinitesimal calculus a hidden key to a level of reality beneath that of nano-technology. The foundation of science is not some vague generality, but the exercise of reason as originating from the human sensorium. There is no difference between mathematical and ordinary inductive reasoning. The paper is the first chapter of the book, Absolute Space, Absolute Time, & Absolute Motion.


Abstract:

This lecture is taken from the author's book, Absolute Space, Absolute Time, & Absolute Motion. Common sense teaches that space is different from the objects within it. This is also the conclusion of sustained reason. The key to understanding space is its smallest division, the infinitesimal. The opposing thesis, namely that space is infinitely divisible can be refuted. By understanding the nature of the spacial infinitesimal, we can answer such questions as: What is the nature of an irrational number? Under what conditions is division by zero valid? Is space curved?



The Hidden Opportunities in the Derivative

(2007)

Peter F. Erickson

Proceedings of the NPA, Volume 4, No. 1, pp. 115

2007, 14th Natural Philosophy Alliance Conference, Storrs, CT, United States

Abstract:

This lecture is taken from the author's book, Absolute Space, Absolute Time, & Absolute Motion. The idea of the limit when applied to the derivative in the infinitesimal calculus is wrong. It does not solve the problem that the derivative is usually different from dy/dx.. Instead, it conceals this problem. As a result of applying the limit idea, certain products of the process of derivation are commonly rejected, leaving only the derivative. Yet, inspection shows that they must still exist. Since the derivative is not an approximation, but an exact product, the commonly rejected extra terms must be recognized as present. As such, they may provide an avenue for the future advance of physical science.



Further Discoveries About the Veritable Number System

(2009)

Peter F. Erickson


2009, 16th Natural Philosophy Alliance Conference, Storrs, CT, United States

Abstract:

This number system, already discussed in a 2005 NPA paper and in the published book, has important applications. Its characterization of paths, whether straight or curvilinear, is far superior to that of the better known real number system.



Abstract:

Quaternions were discovered (or invented) early in the 19th century, when Sir William Rowan Hamilton set out to duplicate a significant part of the imaginary number system. His efforts were not entirely right; however, the later attempts by Josiah Willard Gibbs and others to replace the quaternions with vectors were not entirely right either. But much can be done with the newly discovered veritable number system.




Division in the Veritable Number System

(2011)

Peter F. Erickson

(Absentia)



Proceedings of the NPA, Volume 8, pp. 187-189

2011, 18th Natural Philosophy Alliance Conference, College Park, MD, United States

Abstract:

The veritable number system is more versatile with respect to division than the real number system.


Abstract:

This paper reviews the author's soon-to-be-published book, The Nature of Negative Numbers. In this book, the veritable number system is presented much more fully than it was in the earlier book, Absolute Space, Absolute Time & Absolute Motion, or elsewhere, including the 2005 NPA Proceedings. It is compared and contrasted to imaginary numbers and, especially, to the received real number system. The argument is that it is superior to the other two.



George De Bothezat's Teaching on the Infinitesimal

(2012)

Peter F. Erickson

(Absentia)



Proceedings of the NPA, Volume 9, pp. 146-148

2012, 19th Natural Philosophy Alliance Conference, Albuquerque, NM, United States

Abstract:

This is a review of George de Bothezat's account of the spatial infinitesimal in his work, Back To Newton: A Challenge to Einstein's Theory of Relativity.



Bertrand Russell and "Continuity"

(2013)

Peter F. Erickson

(15 pages)

2015, 1st Annual Chappell Natural Philosophy Society Conference
Keywords: Bertrand Russell, hollow, continuity

Lookup: russell (2)

Abstract:

Central to establishment’s concept of continuity is that there be no “next-to.” It is integral to set theory and modern mathematics. Bertrand Russell noticed that it is in conflict with the common sense understanding of differential equations. Nonetheless, he accepted it. This led to a bizarre notion of a “physical object.” Is there an alternative to this concept of continuity? Yes, there is.


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