Combining Texts

All the ideas for '67: Platonic Questions', 'Against Euthanasia' and 'Foundations of Geometry'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
25. Social Practice / F. Life Issues / 2. Euthanasia
People will volunteer for euthanasia because they think other people want them dead [Kamisar]
We only allow voluntary euthanasia to someone who is both sane and crazed by pain [Kamisar]