Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Believing the Axioms I' and 'Action, Reasons and Causes'

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21 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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
The Axiom of Extensionality seems to be analytic [Maddy]
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
The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
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
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
Efforts to prove the Axiom of Choice have failed [Maddy]
Modern views say the Choice set exists, even if it can't be constructed [Maddy]
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
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
Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Varied descriptions of an event will explain varied behaviour relating to it [Davidson, by Macdonald,C]
20. Action / A. Definition of Action / 2. Duration of an Action
If one action leads directly to another, they are all one action [Davidson, by Wilson/Schpall]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
We explain an intention by giving an account of acting with an intention [Davidson, by Stout,R]
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
Acting for a reason is a combination of a pro attitude, and a belief that the action is appropriate [Davidson]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
The best explanation of reasons as purposes for actions is that they are causal [Davidson, by Smith,M]
Reasons can give purposes to actions, without actually causing them [Smith,M on Davidson]
Early Davidson says intentional action is caused by reasons [Davidson, by Stout,R]
Reasons must be causes when agents act 'for' reasons [Davidson, by Lowe]
Davidson claims that what causes an action is the reason for doing it [Davidson, by Kim]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]