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'fragments/reports', 'Summa totius logicae' and 'On the Infinite'
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10 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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12461
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We believe all mathematical problems are solvable [Hilbert]
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12456
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I aim to establish certainty for mathematical methods [Hilbert]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
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9633
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No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
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12460
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We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
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12462
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Only the finite can bring certainty to the infinite [Hilbert]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
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12455
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The idea of an infinite totality is an illusion [Hilbert]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
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12457
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There is no continuum in reality to realise the infinitely small [Hilbert]
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6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
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9113
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Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
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12459
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The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
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6. Mathematics / C. Sources of Mathematics / 8. Finitism
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18112
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Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
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