Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Freedom of the Will and concept of a person' and 'Philosophy of Mathematics'

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12 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14235 Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
9264 Persons are distinguished by a capacity for second-order desires [Frankfurt]
9266 A person essentially has second-order volitions, and not just second-order desires [Frankfurt]
16. Persons / F. Free Will / 1. Nature of Free Will
9267 Free will is the capacity to choose what sort of will you have [Frankfurt]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
9265 The will is the effective desire which actually leads to an action [Frankfurt]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
20015 Freedom of action needs the agent to identify with their reason for acting [Frankfurt, by Wilson/Schpall]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
9270 A 'wanton' is not a person, because they lack second-order volitions [Frankfurt]
9269 A person may be morally responsible without free will [Frankfurt]