Combining Texts

All the ideas for 'Explaining Explanation', 'Ontology and Mathematical Truth' and 'The Logical Structure of the World (Aufbau)'

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18 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Paradox: why do you analyse if you know it, and how do you analyse if you don't? [Ruben]
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
If we all intuited mathematical objects, platonism would be agreed [Jubien]
How can pure abstract entities give models to serve as interpretations? [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]
14. Science / A. Basis of Science / 4. Prediction
The 'symmetry thesis' says explanation and prediction only differ pragmatically [Ruben]
14. Science / B. Scientific Theories / 1. Scientific Theory
Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Usually explanations just involve giving information, with no reference to the act of explanation [Ruben]
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
An explanation needs the world to have an appropriate structure [Ruben]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Most explanations are just sentences, not arguments [Ruben]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
The causal theory of explanation neglects determinations which are not causal [Ruben]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Reducing one science to another is often said to be the perfect explanation [Ruben]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Facts explain facts, but only if they are conceptualised or named appropriately [Ruben]
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]