Combining Texts

All the ideas for 'Essential vs Accidental Properties', 'Natural Theology' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

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20 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
13733 Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
9874 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
18252 Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
18271 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
10623 Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
9975 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
18165 My Basic Law V is a law of pure logic [Frege]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
10938 The extremes of essentialism are that all properties are essential, or only very trivial ones [Rami]
9. Objects / D. Essence of Objects / 3. Individual Essences
10940 An 'individual essence' is possessed uniquely by a particular object [Rami]
9. Objects / D. Essence of Objects / 5. Essence as Kind
10939 'Sortal essentialism' says being a particular kind is what is essential [Rami]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
10934 Unlosable properties are not the same as essential properties [Rami]
10. Modality / A. Necessity / 3. Types of Necessity
10933 Physical possibility is part of metaphysical possibility which is part of logical possibility [Rami]
10. Modality / B. Possibility / 2. Epistemic possibility
10932 If it is possible 'for all I know' then it is 'epistemically possible' [Rami]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
9190 A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
13665 Frege took the study of concepts to be part of logic [Frege, by Shapiro]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
21277 Even an imperfect machine can exhibit obvious design [Paley]
21275 Unlike a stone, the parts of a watch are obviously assembled in order to show the time [Paley]
21276 From the obvious purpose and structure of a watch we must infer that it was designed [Paley]
21357 No organ shows purpose more obviously than the eyelid [Paley]
21278 All the signs of design found in a watch are also found in nature [Paley]