Combining Texts

All the ideas for 'Necessary Existents', 'Freedom and Reason' and 'Letters to Russell'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]

19. Language / D. Propositions / 3. Concrete Propositions

19216

Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism

22331

Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]

22484

Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]

23. Ethics / D. Deontological Ethics / 4. Categorical Imperative

6449	The categorical imperative leads to utilitarianism [Hare, by Nagel]