Ideas of Harold Noonan, by Theme

[British, fl. 1989, At Birmingham University.]

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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
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
I could have died at five, but the summation of my adult stages could not
9. Objects / E. Objects over Time / 5. Temporal Parts
Stage theorists accept four-dimensionalism, but call each stage a whole object
9. Objects / F. Identity among Objects / 2. Defining Identity
Problems about identity can't even be formulated without the concept of identity
Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular
Identity can only be characterised in a second-order language
Identity is usually defined as the equivalence relation satisfying Leibniz's Law
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Indiscernibility is basic to our understanding of identity and distinctness
Leibniz's Law must be kept separate from the substitutivity principle