Combining Texts

All the ideas for 'Reportatio', 'Axiomatic Thought' and 'Form, Matter and Substance'

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12 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Much metaphysical debate concerns what is fundamental, rather than what exists [Koslicki]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Number theory just needs calculation laws and rules for integers [Hilbert]
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]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]
28. God / A. Divine Nature / 3. Divine Perfections
God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
28. God / C. Attitudes to God / 4. God Reflects Humanity
We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]