Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Identity' and 'Morality as system of hypothetical imperatives'

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15 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
22392 Morality is inescapable, in descriptive words such as 'dishonest', 'unjust' and 'uncharitable' [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
23685 Reason is not a motivator of morality [Foot, by Hacker-Wright]
23691 Rejecting moral rules may be villainous, but it isn't inconsistent [Foot]
23. Ethics / D. Deontological Ethics / 1. Deontology
22391 Saying we 'ought to be moral' makes no sense, unless it relates to some other system [Foot]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
22389 Morality no more consists of categorical imperatives than etiquette does [Foot]