Combining Philosophers

All the ideas for Anaxarchus, Alan Musgrave and Simon Blackburn

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19 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
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [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 seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
10. Modality / A. Necessity / 11. Denial of Necessity
Asserting a necessity just expresses our inability to imagine it is false [Blackburn]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
If we are told the source of necessity, this seems to be a regress if the source is not already necessary [Blackburn]
If something underlies a necessity, is that underlying thing necessary or contingent? [Blackburn, by Hale/Hoffmann,A]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Visual sense data are an inner picture show which represents the world [Blackburn]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
A true belief might be based on a generally reliable process that failed on this occasion [Blackburn]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Akrasia is intelligible in hindsight, when we revisit our previous emotions [Blackburn]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Some philosophers always want more from morality; for others, nature is enough [Blackburn]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
The main objection to intuitionism in ethics is that intuition is a disguise for prejudice or emotion [Blackburn]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Critics of prescriptivism observe that it is consistent to accept an ethical verdict but refuse to be bound by it [Blackburn]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
The word 'respect' ranges from mere non-interference to the highest levels of reverence [Blackburn]