Combining Philosophers
Ideas for Anaxarchus, Gottlob Frege and Richard Dedekind
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17 ideas
2. Reason / A. Nature of Reason / 3. Pure Reason
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Thoughts have a natural order, to which human thinking is drawn [Frege, by Yablo]
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2. Reason / A. Nature of Reason / 5. Objectivity
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Frege sees no 'intersubjective' category, between objective and subjective [Dummett on Frege]
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Keep the psychological and subjective separate from the logical and objective [Frege]
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7740
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There exists a realm, beyond objects and ideas, of non-spatio-temporal thoughts [Frege, by Weiner]
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2. Reason / B. Laws of Thought / 1. Laws of Thought
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We should not describe human laws of thought, but how to correctly track truth [Frege, by Fisher]
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2. Reason / D. Definition / 2. Aims of Definition
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A definition need not capture the sense of an expression - just get the reference right [Frege, by Dummett]
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Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
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2. Reason / D. Definition / 3. Types of Definition
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A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
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2. Reason / D. Definition / 7. Contextual Definition
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Originally Frege liked contextual definitions, but later preferred them fully explicit [Frege, by Dummett]
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9822
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Nothing should be defined in terms of that to which it is conceptually prior [Frege, by Dummett]
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9845
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We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
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2. Reason / D. Definition / 9. Recursive Definition
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Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter]
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2. Reason / D. Definition / 10. Stipulative Definition
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Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
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2. Reason / D. Definition / 11. Ostensive Definition
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Only what is logically complex can be defined; what is simple must be pointed to [Frege]
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2. Reason / E. Argument / 6. Conclusive Proof
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Proof aims to remove doubts, but also to show the interdependence of truths [Frege]
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We must be clear about every premise and every law used in a proof [Frege]
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2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
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You can't transfer external properties unchanged to apply to ideas [Frege]
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