Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Form, Matter and Substance' and 'Preface to 'Principles of Philosophy''

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14 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Much metaphysical debate concerns what is fundamental, rather than what exists [Koslicki]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Metaphysics is the roots of the tree of science [Descartes]
2. Reason / F. Fallacies / 4. Circularity
I know the truth that God exists and is the author of truth [Descartes]
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]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Structured wholes are united by the teamwork needed for their capacities [Koslicki]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
The form explains kind, structure, unity and activity [Koslicki]
9. Objects / D. Essence of Objects / 3. Individual Essences
Hylomorphic compounds need an individual form for transworld identity [Koslicki]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Understanding, not the senses, gives certainty [Descartes]
28. God / C. Attitudes to God / 5. Atheism
Atheism arises from empiricism, because God is intangible [Descartes]