Combining Texts

All the ideas for 'Ontology and Mathematical Truth', 'Truth' and 'talk'

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14 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
8011 Aristotle is a buffoon who has misled the Church [Luther, by MacIntyre]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
10842 The fact which is stated by a true sentence is not something in the world [Strawson,P]
10843 Facts aren't exactly true statements, but they are what those statements say [Strawson,P]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
10844 The statement that it is raining perfectly fits the fact that it is raining [Strawson,P]
3. Truth / F. Semantic Truth / 2. Semantic Truth
10841 The word 'true' always refers to a possible statement [Strawson,P]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9967 '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
9968 A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
9965 There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
9966 The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9963 If we all intuited mathematical objects, platonism would be agreed [Jubien]
9962 How can pure abstract entities give models to serve as interpretations? [Jubien]
9964 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
9969 The empty set is the purest abstract object [Jubien]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
6609 With respect to religion, reason is a blind whore [Luther]