Combining Texts

All the ideas for 'Purifications (frags)', 'Grounding: an opinionated introduction' and 'The Structure of Paradoxes of Self-Reference'

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13 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Using modal logic, philosophers tried to handle all metaphysics in modal terms [Correia/Schnieder]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Why do rationalists accept Sufficient Reason, when it denies the existence of fundamental facts? [Correia/Schnieder]
5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Is existential dependence by grounding, or do grounding claims arise from existential dependence? [Correia/Schnieder]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Grounding is metaphysical and explanation epistemic, so keep them apart [Correia/Schnieder]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
The identity of two facts may depend on how 'fine-grained' we think facts are [Correia/Schnieder]