Combining Texts

All the ideas for 'The Dappled World', 'Prologue to Ordinatio' and 'Identity'

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12 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
I could have died at five, but the summation of my adult stages could not [Noonan]
9. Objects / E. Objects over Time / 5. Temporal Parts
Stage theorists accept four-dimensionalism, but call each stage a whole object [Noonan]
9. Objects / F. Identity among Objects / 2. Defining Identity
Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular [Noonan]
Identity is usually defined as the equivalence relation satisfying Leibniz's Law [Noonan]
Problems about identity can't even be formulated without the concept of identity [Noonan]
Identity can only be characterised in a second-order language [Noonan]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Leibniz's Law must be kept separate from the substitutivity principle [Noonan]
Indiscernibility is basic to our understanding of identity and distinctness [Noonan]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Our intellect only assents to what we believe to be true [William of Ockham]
14. Science / B. Scientific Theories / 1. Scientific Theory
Theories can never represent accurately, because their components are abstract [Cartwright,N, by Portides]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractive cognition knows universals abstracted from many singulars [William of Ockham]