Combining Texts

All the ideas for 'Deflationary Metaontology of Thomasson', 'The Individuation of Events' and 'Mathematical logic and theory of types'

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16 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Davidson controversially proposed to quantify over events [Davidson, by Engelbretsen]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
You can't identify events by causes and effects, as the event needs to be known first [Dummett on Davidson]
Events can only be individuated causally [Davidson, by Schaffer,J]
We need events for action statements, causal statements, explanation, mind-and-body, and adverbs [Davidson, by Bourne]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
The claim that events are individuated by their causal relations to other events is circular [Lowe on Davidson]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]