Combining Texts

All the ideas for 'Ethics: Inventing Right and Wrong', 'fragments/reports' and 'Model Theory'

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31 ideas

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 / A. Nature of Existence / 5. Reason for Existence
458 Nothing could come out of nothing, and existence could never completely cease [Empedocles]
7. Existence / B. Change in Existence / 1. Nature of Change
5112 Empedocles says things are at rest, unless love unites them, or hatred splits them [Empedocles, by Aristotle]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
13209 There is no coming-to-be of anything, but only mixing and separating [Empedocles, by Aristotle]
9. Objects / E. Objects over Time / 10. Beginning of an Object
457 Substance is not created or destroyed in mortals, but there is only mixing and exchange [Empedocles]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
462 One vision is produced by both eyes [Empedocles]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
22765 Wisdom and thought are shared by all things [Empedocles]
18. Thought / A. Modes of Thought / 1. Thought
1524 For Empedocles thinking is almost identical to perception [Empedocles, by Theophrastus]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
4761 The 'error theory' of morals says there is no moral knowledge, because there are no moral facts [Mackie, by Engel]
22. Metaethics / B. Value / 2. Values / j. Evil
552 Empedocles said good and evil were the basic principles [Empedocles, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 1. Nature
589 'Nature' is just a word invented by people [Empedocles]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
21823 The principle of 'Friendship' in Empedocles is the One, and is bodiless [Empedocles, by Plotinus]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
2680 Empedocles said that there are four material elements, and two further creative elements [Empedocles, by Aristotle]
6002 Empedocles says bone is water, fire and earth in ratio 2:4:2 [Empedocles, by Inwood]
13207 Fire, Water, Air and Earth are elements, being simple as well as homoeomerous [Empedocles, by Aristotle]
459 All change is unity through love or division through hate [Empedocles]
13218 The elements combine in coming-to-be, but how do the elements themselves come-to-be? [Aristotle on Empedocles]
13225 Love and Strife only explain movement if their effects are distinctive [Aristotle on Empedocles]
460 If the one Being ever diminishes it would no longer exist, and what could ever increase it? [Empedocles]
27. Natural Reality / G. Biology / 3. Evolution
5090 Maybe bodies are designed by accident, and the creatures that don't work are destroyed [Empedocles, by Aristotle]
28. God / A. Divine Nature / 2. Divine Nature
466 God is pure mind permeating the universe [Empedocles]
461 God is a pure, solitary, and eternal sphere [Empedocles]
28. God / A. Divine Nature / 4. Divine Contradictions
1719 In Empedocles' theory God is ignorant because, unlike humans, he doesn't know one of the elements (strife) [Aristotle on Empedocles]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
1522 It is wretched not to want to think clearly about the gods [Empedocles]