Combining Texts

All the ideas for 'Changes in Events and Changes in Things', 'Knowledge and the Philosophy of Number' and 'Fact, Fiction and Forecast (4th ed)'

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15 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
12394 If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
15201 That Queen Anne is dead is a 'general fact', not a fact about Queen Anne [Prior,AN]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
14292 Dispositions seem more ethereal than behaviour; a non-occult account of them would be nice [Goodman]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
18749 Goodman argued that the confirmation relation can never be formalised [Goodman, by Horsten/Pettigrew]
17646 Goodman showed that every sound inductive argument has an unsound one of the same form [Goodman, by Putnam]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
4794 We don't use laws to make predictions, we call things laws if we make predictions with them [Goodman]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
22899 'Thank goodness that's over' is not like 'thank goodness that happened on Friday' [Prior,AN]