Combining Texts

Ideas for 'fragments/reports', 'Isolation and Non-arbitrary Division' and 'Physics'

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11 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 / 4. Using Numbers / a. Units
17435 Objects do not naturally form countable units [Koslicki]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17433 We can still count squares, even if they overlap [Koslicki]
17439 There is no deep reason why we count carrots but not asparagus [Koslicki]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
17434 We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
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]