Combining Texts

All the ideas for 'works', 'Ontology and Mathematical Truth' and 'The Analysis of Mind'

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15 ideas

4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
A logic is 'relevant' if premise and conclusion are connected, and 'paraconsistent' allows contradictions [Priest,G, by Friend]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
How can pure abstract entities give models to serve as interpretations? [Jubien]
If we all intuited mathematical objects, platonism would be agreed [Jubien]
Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The empty set is the purest abstract object [Jubien]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling]
Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
It is possible the world came into existence five minutes ago, complete with false memories [Russell]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Knowledge needs more than a sensitive response; the response must also be appropriate [Russell]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
In perception, the self is just a logical fiction demanded by grammar [Russell]