Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Rationality and Virtue'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Possessing the virtue of justice disposes a person to good practical rationality [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Calling a knife or farmer or speech or root good does not involve attitudes or feelings [Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
The essential thing is the 'needs' of plants and animals, and their operative parts [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Observing justice is necessary to humans, like hunting to wolves or dancing to bees [Foot]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]