- ...souls
- reincarnation
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- ...birth.'"
- Burnet, Early Greek Philosophy
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- ...gentleman
- How many such philosophers are icons of the western tradition? We can include Hume, Locke, Descartes, Fermat, Milton, Göthe, Thoreau. Compare these names to Napoleon, Nelson, Bismark, Edison, Whitney, James Watt. You get a different feel.
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- ...Russell
- A History of Western Philosophy. Russell was a logician, mathematician and philosopher from the first half of this century. He is known for attempting to bring pure mathematics into the scope of symbolic logic and for discoveing some profound paradoxes in set theory.
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- ...divisor
- in modern terms
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- ...numbers
- Bear in mind that there is no zero extant at this time. Note, the ``experimentation" with definition. The same goes on today. Definitions and directions of approach are in a continual flux, then and now.
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- ...Contributions
- These facts generally assume a knowledge of the Pythagorean Theorem, as we know it. The level of rigor has not yet achieved what it would become by the time of Euclid
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- ...section
- ...now called the goden ratio. Curiously, this number has recurred throughtout the development of mathematics. We will see it again.
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- ...accepted
- In actual fact, the Greek ``fixation" on geometric methods to the exclusion of algebraic methods firmly rooted only with the influence of Eudoxus
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- ...Thus
- The expression
where m and n are integers means that m divides n without remainder.
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- ...numbers."
- I. M. Iaglom, Matematiceskie struktury i matematiceskoie
modelirovanie. [Mathematical Structures and Mathematical Modeling]
(Moscow: Nauka, 1980), p. 24.
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- ...mathematics.
- A. Szabo "Wie ist die Mathematik zu einer deduktiven Wissenschaft
geworden?", Acta Antiqua, 4 (1956), p. 130.
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