Combining Texts

All the ideas for 'Believing the Axioms I', 'On Body and Force, Against the Cartesians' and 'A Defense of Abortion'

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24 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
13011 New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13013 The Axiom of Extensionality seems to be analytic [Maddy]
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13021 The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
13022 Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13023 The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13024 Efforts to prove the Axiom of Choice have failed [Maddy]
13025 Modern views say the Choice set exists, even if it can't be constructed [Maddy]
13026 A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
13019 The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13018 Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
13195 To explain a house we must describe its use, as well as its parts [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
13193 Active force is not just potential for action, since it involves a real effort or striving [Leibniz]
25. Social Practice / F. Life Issues / 3. Abortion
4061 The right to life is not a right not to be killed, but not to be killed unjustly [Thomson]
4057 A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
4695 Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
4059 It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]
4696 The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]
4058 Is someone's right to life diminished if they were conceived by a rape? [Thomson]
4060 The right to life does not bestow the right to use someone else's body to support that life [Thomson]
4062 No one is morally required to make huge sacrifices to keep someone else alive for nine months [Thomson]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
13194 God's laws would be meaningless without internal powers for following them [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
13196 All qualities of bodies reduce to forces [Leibniz]
13192 Power is passive force, which is mass, and active force, which is entelechy or form [Leibniz]