Combining Texts

All the ideas for 'fragments/reports', 'On the Infinite' and 'Seven Quodlibets'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations are expressed either as absolute facts, or by a relational concept [William of Ockham]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Cut wood doesn't make a new substance, but seems to make separate subjects [William of Ockham]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Hot water naturally cools down, which is due to the substantial form of the water [William of Ockham]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
If an animal approached from a distance, we might abstract 'animal' from one instance [William of Ockham]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
There are no secure foundations to prove the separate existence of mind, in reason or experience [William of Ockham]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
To love God means to love whatever God wills to be loved [William of Ockham]