Combining Texts

All the ideas for 'What is so bad about Contradictions?', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Identity through Possible Worlds'

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9 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
9123 Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185 Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184 Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
10189 There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10186 If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
10187 Abstract algebra concerns relations between models, not common features of all the models [Burgess]
10188 How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
11966 If there are essential properties, how do you find out what they are? [Chisholm]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
11965 Could possible Adam gradually transform into Noah, and vice versa? [Chisholm]