Combining Texts

All the ideas for 'Foundations of Geometry', 'Computing Machinery and Intelligence' and 'Treatise on Quantity'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
13472 Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9546 Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
18742 Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
18217 Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
16672 Quantity is the quantified parts of a thing, plus location and coordination [Olivi]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
3979 The Turing Machine is the best idea yet about how the mind works [Fodor on Turing]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test
5321 In 50 years computers will successfully imitate humans with a 70% success rate [Turing]