Combining Texts

All the ideas for 'Ethics: Inventing Right and Wrong', 'Philosophical Remarks' and 'What Numbers Are'

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
9. Objects / A. Existence of Objects / 3. Objects in Thought
An 'object' is just what can be referred to without possible non-existence [Wittgenstein]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Language pictures the essence of the world [Wittgenstein]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
You can't believe it if you can't imagine a verification for it [Wittgenstein]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
The 'error theory' of morals says there is no moral knowledge, because there are no moral facts [Mackie, by Engel]