Combining Texts

All the ideas for 'From Stimulus to Science', 'Introduction to Russell's Theory of Types' and 'Identity'

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11 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction

6564	To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18170

The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

16014

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

16024

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

16023

Stage theorists accept four-dimensionalism, but call each stage a whole object [Noonan]

9. Objects / F. Identity among Objects / 2. Defining Identity

16015

Problems about identity can't even be formulated without the concept of identity [Noonan]

16017

Identity is usually defined as the equivalence relation satisfying Leibniz's Law [Noonan]

16016

Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular [Noonan]

16020

Identity can only be characterised in a second-order language [Noonan]

9. Objects / F. Identity among Objects / 8. Leibniz's Law

16018

Indiscernibility is basic to our understanding of identity and distinctness [Noonan]

16019

Leibniz's Law must be kept separate from the substitutivity principle [Noonan]