Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Dispositional Essentialism Grounds Laws of Nature?' and 'Constructibility and Mathematical Existence'

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10 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
8758 We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10265 Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
8759 We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
10264 Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
14347 A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry]
14348 An 'antidote' allows a manifestation to begin, but then blocks it [Corry]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
14350 If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry]
14. Science / A. Basis of Science / 3. Experiment
14351 Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
14346 Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry]