Combining Texts

All the ideas for 'fragments/reports', 'On the Infinite' and 'The Logical Form of Action Sentences'

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14 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
We believe all mathematical problems are solvable [Hilbert]
I aim to establish certainty for mathematical methods [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]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
We need 'events' to explain adverbs, which are adjectival predicates of events [Davidson, by Lycan]
Language-learning is not good enough evidence for the existence of events [Yablo on Davidson]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
If the best theory of adverbs refers to events, then our ontology should include events [Davidson, by Sider]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]