Combining Texts

All the ideas for 'Human Flourishing, Ethics and Liberty', 'Model Theory' and 'Nature Without Essence'

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22 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 / 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 / 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]
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a concept is not compact, it will not be presentable to finite minds [Almog]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The number series is primitive, not the result of some set theoretic axioms [Almog]
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]
9. Objects / D. Essence of Objects / 4. Essence as Definition
Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog]
Fregean meanings are analogous to conceptual essence, defining a kind [Almog]
Essential definition aims at existence conditions and structural truths [Almog]
Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog]
9. Objects / D. Essence of Objects / 10. Essence as Species
Alien 'tigers' can't be tigers if they are not related to our tigers [Almog]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Kripke and Putnam offer an intermediary between real and nominal essences [Almog]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Individual essences are just cobbled together classificatory predicates [Almog]
18. Thought / C. Content / 5. Twin Earth
Water must be related to water, just as tigers must be related to tigers [Almog]
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
Basing ethics on flourishing makes it consequentialist, as actions are judged by contributing to it [Harman]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
What counts as 'flourishing' must be relative to various sets of values [Harman]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Defining an essence comes no where near giving a thing's nature [Almog]
Essences promise to reveal reality, but actually drive us away from it [Almog]