Combining Texts

All the ideas for 'Laches', 'On the Infinite' and 'The Very Idea of a Conceptual Scheme'

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16 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Don't assume that wisdom is the automatic consequence of old age [Plato]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Saying truths fit experience adds nothing to truth; nothing makes sentences true [Davidson]
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]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Without the dualism of scheme and content, not much is left of empiricism [Davidson]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Different points of view make sense, but they must be plotted on a common background [Davidson]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Criteria of translation give us the identity of conceptual schemes [Davidson]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]