Combining Texts

All the ideas for 'Cratylus', 'Model Theory' and 'Inexpressible Properties and Propositions'

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31 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
13786 Wisdom is called 'beautiful', because it performs fine works [Plato]
1. Philosophy / A. Wisdom / 2. Wise People
13780 Good people are no different from wise ones [Plato]
2. Reason / C. Styles of Reason / 1. Dialectic
13778 A dialectician is someone who knows how to ask and to answer questions [Plato]
2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
13776 Truths say of what is that it is, falsehoods say of what is that it is not [Plato]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
17990 Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
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 / F. Referring in Logic / 1. Naming / a. Names
13777 A name is a sort of tool [Plato]
13790 A name-giver might misname something, then force other names to conform to it [Plato]
13791 Things must be known before they are named, so it can't be the names that give us knowledge [Plato]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
13789 Anyone who knows a thing's name also knows the thing [Plato]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
17988 Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
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]
7. Existence / B. Change in Existence / 1. Nature of Change
2063 How can beauty have identity if it changes? [Plato]
7. Existence / E. Categories / 2. Categorisation
13775 We only succeed in cutting if we use appropriate tools, not if we approach it randomly [Plato]
8. Modes of Existence / B. Properties / 1. Nature of Properties
17989 Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
13787 Doesn't each thing have an essence, just as it has other qualities? [Plato]
9. Objects / D. Essence of Objects / 3. Individual Essences
13774 Things don't have every attribute, and essence isn't private, so each thing has an essence [Plato]
9. Objects / D. Essence of Objects / 15. Against Essentialism
13772 Is the being or essence of each thing private to each person? [Plato]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
13788 If we made a perfect duplicate of Cratylus, there would be two Cratyluses [Plato]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
13792 There can't be any knowledge if things are constantly changing [Plato]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
13781 Soul causes the body to live, and gives it power to breathe and to be revitalized [Plato]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
17991 Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
13785 'Arete' signifies lack of complexity and a free-flowing soul [Plato]
27. Natural Reality / G. Biology / 5. Species
13779 The natural offspring of a lion is called a 'lion' (but what about the offspring of a king?) [Plato]
28. God / A. Divine Nature / 2. Divine Nature
13783 Even the gods love play [Plato]