Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Many Politics' and 'Of Organum or Ars Magna of Thinking'

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12 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
Nomads are the basis of history, and yet almost unknowable [Deleuze]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]
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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Supreme human happiness is the greatest possible increase of his perfection [Leibniz]
24. Political Theory / D. Ideologies / 11. Capitalism
We are currently extending capitalism to the whole of society [Deleuze]
25. Social Practice / E. Policies / 1. War / a. Just wars
The State requires self-preservation, but the war-machine desires destruction [Deleuze]