Combining Texts

All the ideas for 'works (fragments)', 'Letters to Russell' and 'Probabilities of Conditionals'

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10 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason

1813	All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]

1811	Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]

1815	Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]

1812	All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]

10. Modality / B. Possibility / 8. Conditionals / a. Conditionals

14283

A conditional probability does not measure the probability of the truth of any proposition [Lewis, by Edgington]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma

8850	Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]

13. Knowledge Criteria / E. Relativism / 1. Relativism

1814	Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]