Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Panpsychism' and 'Reflections on Value'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
All thought about values is philosophical, and thought about anything else is not philosophy [Weil]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy aims to change the soul, not to accumulate knowledge [Weil]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Systems are not unique to each philosopher. The platonist tradition is old and continuous [Weil]
3. Truth / A. Truth Problems / 1. Truth
Truth is a value of thought [Weil]
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]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel]
22. Metaethics / B. Value / 1. Nature of Value / e. Means and ends
Ends, unlike means, cannot be defined, which is why people tend to pursue means [Weil]
22. Metaethics / B. Value / 2. Values / a. Normativity
Minds essentially and always strive towards value [Weil]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel]