Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Birth of Tragedy' and 'Causation and Supervenience'

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16 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
26. Natural Theory / C. Causation / 2. Types of cause
Causation is either direct realism, Humean reduction, non-Humean reduction or theoretical realism [Tooley]
Causation distinctions: reductionism/realism; Humean/non-Humean states; observable/non-observable [Tooley]
26. Natural Theory / C. Causation / 5. Direction of causation
We can only reduce the direction of causation to the direction of time if we are realist about the latter [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
Causation is directly observable in pressure on one's body, and in willed action [Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Probabilist laws are compatible with effects always or never happening [Tooley]
The actual cause may not be the most efficacious one [Tooley]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
In counterfactual worlds there are laws with no instances, so laws aren't supervenient on actuality [Tooley]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Explaining causation in terms of laws can't explain the direction of causation [Tooley]
Causation is a concept of a relation the same in all worlds, so it can't be a physical process [Tooley]