Combining Texts

All the ideas for 'A Résumé of Metaphysics', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'Principle of Life and Plastic Natures'

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19 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
12. Knowledge Sources / B. Perception / 1. Perception
Not all of perception is accompanied by consciousness [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
22. Metaethics / B. Value / 2. Values / e. Death
Death and generation are just transformations of an animal, augmented or diminished [Leibniz]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
Intelligent pleasure is the perception of beauty, order and perfection [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz]
Every particle of matter contains organic bodies [Leibniz]
28. God / A. Divine Nature / 3. Divine Perfections
Perfection is simply quantity of reality [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
All substances are in harmony, even though separate, so they must have one divine cause [Leibniz]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz]