Combining Texts

All the ideas for 'works (fragments)', 'A Critique of Utilitarianism' and 'Remarks on the definition and nature of mathematics'

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14 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Saying mathematics is logic is merely replacing one undefined term by another [Curry]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Maybe the unthinkable is a moral category, and considering some options is dishonourable or absurd [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Consequentialism assumes that situations can be compared [Williams,B]
For a consequentialist massacring 7 million must be better than massacring 7 million and one [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
We don't have a duty to ensure that others do their duty [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism cannot make any serious sense of integrity [Williams,B]