Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Ethics of the Concern for Self as Freedom' and 'Conditionals'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Critical philosophy is what questions domination at every level [Foucault]
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 / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
'¬', '&', and 'v' are truth functions: the truth of the compound is fixed by the truth of the components [Jackson]
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]
10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
Possible worlds for subjunctives (and dispositions), and no-truth for indicatives? [Jackson]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Modus ponens requires that A→B is F when A is T and B is F [Jackson]
When A and B have the same truth value, A→B is true, because A→A is a logical truth [Jackson]
(A&B)→A is a logical truth, even if antecedent false and consequent true, so it is T if A is F and B is T [Jackson]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
In the possible worlds account of conditionals, modus ponens and modus tollens are validated [Jackson]
Only assertions have truth-values, and conditionals are not proper assertions [Jackson]
Possible worlds account, unlike A⊃B, says nothing about when A is false [Jackson]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
We can't insist that A is relevant to B, as conditionals can express lack of relevance [Jackson]
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]
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]