Combining Texts

All the ideas for 'Foundations of Geometry', 'Computing Machinery and Intelligence' and 'works'

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8 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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
6409 The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
3212 Beliefs are maps by which we steer [Ramsey]
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]