Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Mereology' and 'Fact, Fiction and Forecast (4th ed)'

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17 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Maybe set theory need not be well-founded [Varzi]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology need not be nominalist, though it is often taken to be so [Varzi]
Are there mereological atoms, and are all objects made of them? [Varzi]
There is something of which everything is part, but no null-thing which is part of everything [Varzi]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions seem more ethereal than behaviour; a non-occult account of them would be nice [Goodman]
9. Objects / C. Structure of Objects / 5. Composition of an Object
'Composition is identity' says multitudes are the reality, loosely composing single things [Varzi]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Parts may or may not be attached, demarcated, arbitrary, material, extended, spatial or temporal [Varzi]
If 'part' is reflexive, then identity is a limit case of parthood [Varzi]
'Part' stands for a reflexive, antisymmetric and transitive relation [Varzi]
The parthood relation will help to define at least seven basic predicates [Varzi]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Sameness of parts won't guarantee identity if their arrangement matters [Varzi]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
Conceivability may indicate possibility, but literary fantasy does not [Varzi]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Goodman argued that the confirmation relation can never be formalised [Goodman, by Horsten/Pettigrew]
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
We don't use laws to make predictions, we call things laws if we make predictions with them [Goodman]