Combining Texts

All the ideas for 'Cognition of Value in Aristotle's Ethics', 'On the Infinite' and 'Evidentialism'

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15 ideas

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
Only the finite can bring certainty to the infinite [Hilbert]
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]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Involuntary beliefs can still be evaluated [Feldman/Conee]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
Evidentialism is the view that justification is determined by the quality of the evidence [Feldman/Conee]
Beliefs should fit evidence, and if you ought to believe it, then you are justified [Feldman/Conee]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
If someone rejects good criticism through arrogance, that is irrelevant to whether they have knowledge [Feldman/Conee]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Evaluations are not disguised emotions; instead, emotion is a type of evaluation [Achtenberg]