Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophical Insignificance of A Priori Knowledge' and 'Ethics of the Concern for Self as Freedom'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Critical philosophy is what questions domination at every level [Foucault]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Philosophy and politics are fundamentally linked [Foucault]
2. Reason / A. Nature of Reason / 2. Logos
When logos controls our desires, we have actually become the logos [Foucault]
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]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition and thought-experiments embody substantial information about the world [Papineau]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Saying games of truth were merely power relations would be a horrible exaggeration [Foucault]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
A subject is a form which can change, in (say) political or sexual situations [Foucault]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the conscious practice of freedom [Foucault]
24. Political Theory / C. Ruling a State / 1. Social Power
The aim is not to eliminate power relations, but to reduce domination [Foucault]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The idea of liberation suggests there is a human nature which has been repressed [Foucault]