Combining Texts

All the ideas for 'Universal Prescriptivism', 'Principles of Arithmetic, by a new method' and 'Human Freedom and the Self'

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21 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
16. Persons / F. Free Will / 4. For Free Will
If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm]
16. Persons / F. Free Will / 5. Against Free Will
For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm]
If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility seems to conflict with events being either caused or not caused [Chisholm]
Desires may rule us, but are we responsible for our desires? [Chisholm]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
How can intuitionists distinguish universal convictions from local cultural ones? [Hare]
You can't use intuitions to decide which intuitions you should cultivate [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Emotivists mistakenly think all disagreements are about facts, and so there are no moral reasons [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Prescriptivism sees 'ought' statements as imperatives which are universalisable [Hare]
If morality is just a natural or intuitive description, that leads to relativism [Hare]
Descriptivism say ethical meaning is just truth-conditions; prescriptivism adds an evaluation [Hare]
If there can be contradictory prescriptions, then reasoning must be involved [Hare]
An 'ought' statement implies universal application [Hare]
Prescriptivism implies a commitment, but descriptivism doesn't [Hare]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Moral judgements must invoke some sort of principle [Hare]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation among objects relates either events or states [Chisholm]