Combining Texts

All the ideas for 'Mathematics without Numbers', 'A Defense of Abortion' and 'The Concept of Logical Consequence'

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13 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Validity is where either the situation or the interpretation blocks true premises and false conclusion [Etchemendy, by Read]
Etchemendy says fix the situation and vary the interpretation, or fix interpretations with varying situations [Etchemendy, by Read]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
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]
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]
Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]
A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
Is someone's right to life diminished if they were conceived by a rape? [Thomson]
It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]