Combining Texts

All the ideas for 'Mathematics and the Metaphysicians', 'The iterative conception of Set' and 'Intention, Plans, and Practical Reason'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall]
Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall]
20. Action / B. Preliminaries of Action / 1. Intention to Act / b. Types of intention
Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall]
20. Action / B. Preliminaries of Action / 1. Intention to Act / c. Reducing intentions
Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall]