Combining Texts

All the ideas for 'fragments/reports', 'Foundations of Geometry' and 'A Defense of Abortion'

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13 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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
25. Social Practice / F. Life Issues / 3. Abortion
The right to life is not a right not to be killed, but not to be killed unjustly [Thomson]
A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]
The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]
Is someone's right to life diminished if they were conceived by a rape? [Thomson]
The right to life does not bestow the right to use someone else's body to support that life [Thomson]
No one is morally required to make huge sacrifices to keep someone else alive for nine months [Thomson]