Combining Texts

All the ideas for '', 'Anarchy,State, and Utopia' and 'Model Theory'

expand these ideas     |    start again     |     specify just one area for these texts


26 ideas

2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Freedom to live according to our own conception of the good is the ultimate value [Nozick, by Kymlicka]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
If an experience machine gives you any experience you want, should you hook up for life? [Nozick]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
A minimal state should protect, but a state forcing us to do more is unjustified [Nozick]
24. Political Theory / D. Ideologies / 2. Anarchism
Individual rights are so strong that the state and its officials must be very limited in power [Nozick]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
States can't enforce mutual aid on citizens, or interfere for their own good [Nozick]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
My Anarchy, State and Utopia neglected our formal social ties and concerns [Nozick on Nozick]
25. Social Practice / A. Freedoms / 4. Free market
If people hold things legitimately, just distribution is simply the result of free exchanges [Nozick, by Kymlicka]
25. Social Practice / C. Rights / 4. Property rights
Property is legitimate by initial acquisition, voluntary transfer, or rectification of injustice [Nozick, by Swift]
Nozick assumes initial holdings include property rights, but we can challenge that [Kymlicka on Nozick]
Can I come to own the sea, by mixing my private tomato juice with it? [Nozick]
How did the private property get started? If violence was involved, we can redistribute it [Kymlicka on Nozick]
If property is only initially acquired by denying the rights of others, Nozick can't get started [Kymlicka on Nozick]
Unowned things may be permanently acquired, if it doesn't worsen the position of other people [Nozick]
Maybe land was originally collectively owned, rather than unowned? [Cohen,GA on Nozick]