Combining Texts

All the ideas for 'On the spiritual perfection of life', 'Model Theory' and 'German Philosophy 1760-1860'

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14 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
22002 Wolff's version of Leibniz dominated mid-18th C German thought [Pinkard]
22021 Romantics explored beautiful subjectivity, and the re-enchantment of nature [Pinkard]
22010 The combination of Kant and the French Revolution was an excited focus for German philosophy [Pinkard]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
22036 In Hegel's time naturalism was called 'Spinozism' [Pinkard]
2. Reason / C. Styles of Reason / 1. Dialectic
22102 Arguing with opponents uncovers truths, and restrains falsehoods [Aquinas]
2. Reason / D. Definition / 7. Contextual Definition
10476 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
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
22048 Idealism is the link between reason and freedom [Pinkard]