Combining Texts

All the ideas for 'Mathematics without Numbers', 'A Defense of Abortion' and 'Semantic Necessity'

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17 ideas

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K]
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]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
The role of semantic necessity in semantics is like metaphysical necessity in metaphysics [Fine,K, by Hale/Hoffmann,A]
19. Language / C. Assigning Meanings / 2. Semantics
Semantics is either an assignment of semantic values, or a theory of truth [Fine,K]
Semantics is a body of semantic requirements, not semantic truths or assigned values [Fine,K]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Referential semantics (unlike Fregeanism) allows objects themselves in to semantic requirements [Fine,K]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
The Quinean doubt: are semantics and facts separate, and do analytic sentences have no factual part? [Fine,K]
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]