Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Ontology and Mathematical Truth' and 'Essence, Necessity and Explanation'

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18 ideas

2. Reason / D. Definition / 4. Real Definition
A successful Aristotelian 'definition' is what sciences produces after an investigation [Koslicki]
2. Reason / D. Definition / 6. Definition by Essence
Essences cause necessary features, and definitions describe those necessary features [Koslicki]
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]
9. Objects / D. Essence of Objects / 1. Essences of Objects
An essence and what merely follow from it are distinct [Koslicki]
9. Objects / D. Essence of Objects / 3. Individual Essences
Individuals are perceived, but demonstration and definition require universals [Koslicki]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
If an object exists, then its essential properties are necessary [Koslicki]
14. Science / A. Basis of Science / 2. Demonstration
In demonstration, the explanatory order must mirror the causal order of the phenomena [Koslicki]
In a demonstration the middle term explains, by being part of the definition [Koslicki]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Greek uses the same word for 'cause' and 'explanation' [Koslicki]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Discovering the Aristotelian essence of thunder will tell us why thunder occurs [Koslicki]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]