Combining Texts

All the ideas for 'A Defense of Abortion', 'Papers of 1906' and 'Logicism Revisited'

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17 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
To explain false belief we should take belief as relating to a proposition's parts, not to the whole thing [Russell]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
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]