It takes the average reader 2 hours and 17 minutes to read Foundational Aspects of "non"standard Mathematics by David Ballard
Assuming a reading speed of 250 words per minute. Learn more
This work proposes a major new extension of 'non' standard mathematics. Addressed to a general mathematical audience, the book is intended to be philosophically provocative. The model theory on which 'non' standard mathematics has been based is first reformulated within point set topology, which facilitates proofs and adds perspective. These topological techniques are then used to give new, uniform conservativity proofs for the various versions of 'non'standard mathematics proposed by Nelson, Hrbacek, and Kawai.The proofs allow for sharp comparison. Addressing broader issues, Ballard then argues that what is novel in these forms of 'non'standard mathematics is the introduction, however tentative, of relativity in one's mathematical environment. This hints at the possibility of a mathematical environment which is radically relativistic. The work's major and final feature is to present and prove conservative a version of 'non'standard mathematics which, for the first time, illustrates this full radical relativism. The book is entirely self-contained, with all necessary background in point set topology, model theory, 'non'standard analysis, and set theory provided in full.
Foundational Aspects of "non"standard Mathematics by David Ballard is 135 pages long, and a total of 34,425 words.
This makes it 46% the length of the average book. It also has 42% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 8 minutes to read Foundational Aspects of "non"standard Mathematics aloud.
Foundational Aspects of "non"standard Mathematics is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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