Combining Philosophers

All the ideas for Eubulides, Epicharmus and Alan Musgrave

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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]
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
Additional or removal of any part changes a thing, so people are never the same person [Epicharmus]
13. Knowledge Criteria / E. Relativism / 1. Relativism
A dog seems handsome to another a dog, and even a pig to another pig [Epicharmus]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
Pleasures are like pirates - if you are caught they drown you in a sea of pleasures [Epicharmus]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Hands wash hands; give that you may get [Epicharmus]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Against a villain, villainy is not a useless weapon [Epicharmus]
28. God / A. Divine Nature / 3. Divine Perfections
God knows everything, and nothing is impossible for him [Epicharmus]
29. Religion / D. Religious Issues / 3. Problem of Evil / c. Human Error
Human logos is an aspect of divine logos, and is sufficient for successful living [Epicharmus]