Combining Texts

Ideas for 'Physics', 'Phaedrus' and 'God in Plato'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

9790	Geometry studies naturally occurring lines, but not as they occur in nature [Aristotle]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

22962

Two is the least number, but there is no least magnitude, because it is always divisible [Aristotle]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

18090

Without infinity time has limits, magnitudes are indivisible, and numbers come to an end [Aristotle]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

22929

Aristotle's infinity is a property of the counting process, that it has no natural limit [Aristotle, by Le Poidevin]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility

22930

Lengths do not contain infinite parts; parts are created by acts of division [Aristotle, by Le Poidevin]

18833

A continuous line cannot be composed of indivisible points [Aristotle]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

9974	Ten sheep and ten dogs are the same numerically, but it is not the same ten [Aristotle]