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Understanding Imaginaries Through Hidden Numbers

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This essay describes a way of finding hypercomplex numbers—ones that extend complex numbers to more dimensions—with only basic algebra plus Ayn Rand’s philosophy, Objectivism. The result has implications for mathematics and the philosophy of science. The “RADN numbers” (known by science under another name) have a property of rotation like complex numbers, and are also commutative/distributive. (Division is deemed less crucial.) The author of UITHN asked himself what exactly numbers are, how they arise in our mind, and what their relation to reality is. But these questions were so fruitful only because he used a correct philosophy. Another philosophy, such as Karl Popper’s, would not have worked. This has two implications: Rand’s philosophy has epistemological truth; and the RADN numbers may have unique significance. May spur thought on mathematics, addition, multiplication, dimensions, imaginary units, and dimensioned numbers, and lead to more... More > appreciation of Rand’s ideas.< Less
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Product Details

Publisher
Rodney Rawlings
Published
March 29, 2013
Language
English
Pages
1
File Format
PDF
File Size
11.89 KB

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch... (See More)
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes
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