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All the ideas for 'talk', 'Mathematical logic and theory of types' and 'Oxford Dictionary of Philosophy'

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14 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 / 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]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Visual sense data are an inner picture show which represents the world [Blackburn]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
A true belief might be based on a generally reliable process that failed on this occasion [Blackburn]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
The main objection to intuitionism in ethics is that intuition is a disguise for prejudice or emotion [Blackburn]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Critics of prescriptivism observe that it is consistent to accept an ethical verdict but refuse to be bound by it [Blackburn]