Combining Texts

All the ideas for 'Principia Ethica', 'Model Theory' and 'Elucidation of some points in E.Schrder'

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23 ideas

2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14238 A class is an aggregate of objects; if you destroy them, you destroy the class; there is no empty class [Frege]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10478 Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477 |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474 |= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10473 Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10481 Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
10480 First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
21233 The beautiful is whatever it is intrinsically good to admire [Moore,GE]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
8039 Moore tries to show that 'good' is indefinable, but doesn't understand what a definition is [MacIntyre on Moore,GE]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
22151 The Open Question argument leads to anti-realism and the fact-value distinction [Boulter on Moore,GE]
11056 The naturalistic fallacy claims that natural qualties can define 'good' [Moore,GE]
8033 Moore cannot show why something being good gives us a reason for action [MacIntyre on Moore,GE]
8032 Can learning to recognise a good friend help us to recognise a good watch? [MacIntyre on Moore,GE]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
11050 Moore's combination of antinaturalism with strong supervenience on the natural is incoherent [Hanna on Moore,GE]
23726 Despite Moore's caution, non-naturalists incline towards intuitionism [Moore,GE, by Smith,M]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
18676 We should ask what we would judge to be good if it existed in absolute isolation [Moore,GE]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
11057 It is always an open question whether anything that is natural is good [Moore,GE]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
5925 The three main values are good, right and beauty [Moore,GE, by Ross]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
5902 For Moore, 'right' is what produces good [Moore,GE, by Ross]
5903 'Right' means 'cause of good result' (hence 'useful'), so the end does justify the means [Moore,GE]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
5907 Relationships imply duties to people, not merely the obligation to benefit them [Ross on Moore,GE]