Combining Texts

All the ideas for 'fragments/reports', 'Utilitarianism' and 'Model Theory'

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33 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Anaximander produced the first philosophy book (and maybe the first book) [Anaximander, by Bodnár]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
The earth is stationary, because it is in the centre, and has no more reason to move one way than another [Anaximander, by Aristotle]
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
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Model theory studies formal or natural language-interpretation using set-theory [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]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Anaximander saw the contradiction in the world - that its own qualities destroy it [Anaximander, by Nietzsche]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will, in the beginning, is entirely produced by desire [Mill]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
With early training, any absurdity or evil may be given the power of conscience [Mill]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Motive shows the worth of the agent, but not of the action [Mill]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtues only have value because they achieve some further end [Mill]
23. Ethics / D. Deontological Ethics / 2. Duty
Orthodox morality is the only one which feels obligatory [Mill]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Actions are right if they promote pleasure, wrong if they promote pain [Mill]
Utilitarianism only works if everybody has a totally equal right to happiness [Mill]
The English believe in the task of annihilating evil for the victory of good [Nietzsche on Mill]
Mill's qualities of pleasure is an admission that there are other good states of mind than pleasure [Ross on Mill]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
Better to be Socrates dissatisfied than a fool satisfied [Mill]
Only pleasure and freedom from pain are desirable as ends [Mill]
Ultimate goods such as pleasure can never be proved to be good [Mill]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
General happiness is only desirable because individuals desire their own happiness [Mill]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
Moral rules protecting human welfare are more vital than local maxims [Mill]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
No individual has the right to receive our benevolence [Mill]
Rights are a matter of justice, not of benevolence [Mill]
25. Social Practice / C. Rights / 1. Basis of Rights
A right is a valid claim to society's protection [Mill]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The Boundless cannot exist on its own, and must have something contrary to it [Aristotle on Anaximander]
Anaximander introduced the idea that the first principle and element of things was the Boundless [Anaximander, by Simplicius]
Things begin and end in the Unlimited, and are balanced over time according to justice [Anaximander]
The essential nature, whatever it is, of the non-limited is everlasting and ageless [Anaximander]
27. Natural Reality / E. Cosmology / 2. Eternal Universe
The parts of all things are susceptible to change, but the whole is unchangeable [Anaximander, by Diog. Laertius]