Combining Texts

All the ideas for 'fragments/reports', 'The Tragedy of Reason' and 'Model Theory'

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25 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
1606 You have to be a Platonist to debate about reality, so every philosopher is a Platonist [Roochnik]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
23367 Even pointing a finger should only be done for a reason [Epictetus]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
1595 Philosophy aims to satisfy the chief human desire - the articulation of beauty itself [Roochnik]
2. Reason / A. Nature of Reason / 2. Logos
1571 'Logos' ranges from thought/reasoning, to words, to rational structures outside thought [Roochnik]
1572 In the seventeenth century the only acceptable form of logos was technical knowledge [Roochnik]
1573 The hallmark of a person with logos is that they give reasons why one opinion is superior to another [Roochnik]
1592 Logos cannot refute the relativist, and so must admit that it too is a matter of desire (for truth and agreement) [Roochnik]
1593 Human desire has an ordered structure, with logos at the pinnacle [Roochnik]
1603 Logos is not unconditionally good, but good if there is another person willing to engage with it [Roochnik]
2. Reason / A. Nature of Reason / 4. Aims of Reason
1598 We prefer reason or poetry according to whether basics are intelligible or not [Roochnik]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
1584 Modern science, by aiming for clarity about the external world, has abandoned rationality in the human world [Roochnik]
2. Reason / A. Nature of Reason / 9. Limits of Reason
1591 Unfortunately for reason, argument can't be used to establish the value of argument [Roochnik]
1599 Attempts to suspend all presuppositions are hopeless, because a common ground must be agreed for the process [Roochnik]
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]
7. Existence / D. Theories of Reality / 3. Reality
1605 Reality can be viewed neutrally, or as an object of desire [Roochnik]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
1577 Relativism is a disease which destroys the possibility of rational debate [Roochnik]
19. Language / F. Communication / 1. Rhetoric
1578 If relativism is the correct account of human values, then rhetoric is more important than reasoning [Roochnik]
1596 Reasoning aims not at the understanding of objects, but at the desire to give beautiful speeches [Roochnik]