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Ideas for 'works', 'On the Nature of Mathematical Reasoning' and 'Logic (Encyclopedia I)'

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11 ideas

2. Reason / A. Nature of Reason / 2. Logos
1575 For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle]
2. Reason / A. Nature of Reason / 3. Pure Reason
22081 Let thought follow its own course, and don't interfere [Hegel]
2. Reason / A. Nature of Reason / 4. Aims of Reason
1589 Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle]
2. Reason / A. Nature of Reason / 5. Objectivity
15626 Categories create objective experience, but are too conditioned by things to actually grasp them [Hegel]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
15616 If truth is just non-contradiction, we must take care that our basic concepts aren't contradictory [Hegel]
2. Reason / C. Styles of Reason / 1. Dialectic
15615 Older metaphysics became dogmatic, by assuming opposed assertions must be true and false [Hegel]
21767 Dialectic is seen in popular proverbs like 'pride comes before a fall' [Hegel]
15638 Dialectic is the moving soul of scientific progression, the principle which binds science together [Hegel]
15639 Socratic dialectic is subjective, but Plato made it freely scientific and objective [Hegel]
2. Reason / D. Definition / 4. Real Definition
8200 Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine]
2. Reason / D. Definition / 5. Genus and Differentia
4385 Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson]