Combining Texts

All the ideas for 'The Case for Closure', 'Building Blocks of Mathematical Logic' and 'The Doctrine of Necessity Examined'

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9 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel]
10. Modality / B. Possibility / 7. Chance
Is chance just unknown laws? But the laws operate the same, whatever chance occurs [Peirce]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]
22. Metaethics / B. Value / 2. Values / e. Death
Is there any such thing as death among the lower organisms? [Peirce]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
If the world is just mechanical, its whole specification has no more explanation than mere chance [Peirce]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The more precise the observations, the less reliable appear to be the laws of nature [Peirce]