Combining Texts

All the ideas for 'Structure and Nature', 'Logicism Revisited' and 'Either/Or: a fragment of life'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy fails to articulate the continual becoming of existence [Kierkegaard, by Carlisle]
3. Truth / A. Truth Problems / 8. Subjective Truth
Traditional views of truth are tautologies, and truth is empty without a subject [Kierkegaard, by Scruton]
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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
I apply structuralism to concrete and abstract objects indiscriminately [Quine]
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]
7. Existence / D. Theories of Reality / 6. Physicalism
My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
23. Ethics / F. Existentialism / 2. Nihilism
For me time stands still, and I with it [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 4. Boredom
The plebeians bore others; only the nobility bore themselves [Kierkegaard]
23. Ethics / F. Existentialism / 5. Existence-Essence
Reason is just abstractions, so our essence needs a subjective 'leap of faith' [Kierkegaard, by Scruton]
23. Ethics / F. Existentialism / 6. Authentic Self
There are aesthetic, ethical and religious subjectivity [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 7. Existential Action
What matters is not right choice, but energy, earnestness and pathos in the choosing [Kierkegaard]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Kierkegaard prioritises the inward individual, rather than community [Kierkegaard, by Carlisle]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Faith is like a dancer's leap, going up to God, but also back to earth [Kierkegaard, by Carlisle]