Combining Texts

All the ideas for 'fragments/reports', 'Treatise 2: Virtue or Moral Good' and 'Model Theory'

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23 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]
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 / C. Structure of Objects / 6. Constitution of an Object
If someone squashed a horse to make a dog, something new would now exist [Mnesarchus]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Reason is too slow and doubtful to guide all actions, which need external and moral senses [Hutcheson]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
We approve of actions by a superior moral sense [Hutcheson]
We dislike a traitor, even if they give us great benefit [Hutcheson]
The moral sense is not an innate idea, but an ability to approve or disapprove in a disinterested way [Hutcheson]
We cannot choose our moral feelings, otherwise bribery could affect them [Hutcheson]
Everyone feels uneasy when seeing others in pain, unless the others are evil [Hutcheson]
22. Metaethics / B. Value / 2. Values / f. Altruism
Human nature seems incapable of universal malice, except what results from self-love [Hutcheson]
22. Metaethics / B. Value / 2. Values / i. Self-interest
As death approaches, why do we still care about family, friends or country? [Hutcheson]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
My action is not made good by a good effect, if I did not foresee and intend it [Hutcheson]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Contempt of danger is just madness if it is not in some worthy cause [Hutcheson]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
That action is best, which procures the greatest happiness for the greatest number [Hutcheson]
25. Social Practice / C. Rights / 1. Basis of Rights
The loss of perfect rights causes misery, but the loss of imperfect rights reduces social good [Hutcheson]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
We say God is good if we think everything he does aims at the happiness of his creatures [Hutcheson]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
If goodness is constituted by God's will, it is a tautology to say God's will is good [Hutcheson]