Combining Texts

All the ideas for 'Two Notions of Being: Entity and Essence', 'On the Source of Necessity' and 'Review of Chihara 'Struct. Accnt of Maths''

expand these ideas     |    start again     |     specify just one area for these texts


15 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics aims to identify categories of being, and show their interdependency [Lowe]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
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
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Holes, shadows and spots of light can coincide without being identical [Lowe]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe]
9. Objects / F. Identity among Objects / 4. Type Identity
Each thing has to be of a general kind, because it belongs to some category [Lowe]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]