Combining Texts

All the ideas for 'works', 'Logicism Revisited' and 'Sources of the Self'

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18 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is a bulwark of logical positivism [Musgrave]
Formalism seems to exclude all creative, growing mathematics [Musgrave]
16. Persons / A. Concept of a Person / 4. Persons as Agents
The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C]
16. Persons / B. Nature of the Self / 2. Ethical Self
My aim is to map the connections between our sense of self and our moral understanding [Taylor,C]
16. Persons / E. Rejecting the Self / 3. Narrative Self
I can only be aware of myself as a person who changes by means of my personal history [Taylor,C]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Selfhood and moral values are inextricably intertwined [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Willingness to risk life was the constitutive quality of the man of honour [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
Consistency presupposes intrinsic description [Taylor,C]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C]