Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'The Character of Physical Law' and 'On the Question of Absolute Undecidability'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
People generalise because it is easier to understand, and that is mistaken for deep philosophy [Feynman]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Transcendental idealism aims to explain objectivity through subjectivity [Bowie]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]
German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]
Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Physical Laws are rhythms and patterns in nature, revealed by analysis [Feynman]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Nobody understands quantum mechanics [Feynman]
27. Natural Reality / C. Space / 3. Points in Space
We should regard space as made up of many tiny pieces [Feynman, by Mares]