Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'The Communists and Peace' and 'Reals by Abstraction'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
     Full Idea: The real numbers may be introduced by abstraction as ratios of quantities. ..They are not defined by Dedekind cuts; rather, the cuts constitute a domain with the properties that are a necessary precondition.
     From: report of Bob Hale (Reals by Abstraction [1998]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' 3.3
     A reaction: This is Hale's neo-logicist attempt to derive the real numbers from Hume's Principle.
8. Modes of Existence / D. Universals / 1. Universals
Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]
     Full Idea: I shall beg off talking of a) whether genera and species are real or situated in bare thoughts alone, b) whether as real they are bodies or incorporeals, and c) whether they are separated or in sensibles and have their reality in connection with them.
     From: Porphyry (Isagoge ('Introduction') [c.295], (2))
     A reaction: This passage, picking up on Aristotle, seems to be the original source that grew into the medievel debate about universals. It seems to rather neatly lay out the agenda for the universals debate which is still with us.
24. Political Theory / D. Ideologies / 9. Communism
The truth about events always comes from the oppressed and disadvantaged [Sartre, by Bakewell]
     Full Idea: Work out who is most oppressed and disadvantaged in the situation, and then adopt their version of events as the right one. If something is not true in the eyes of the least favoured, then it is not true.
     From: report of Jean-Paul Sartre (The Communists and Peace [1953], final part) by Sarah Bakewell - At the Existentialist Café 12
     A reaction: A theory of social truth, rather than truth in general. A bit simplistic, but appealing. If you want to know the truth, ask the people involved. This is true of the Savoy Grill, as well as of homeless life. You must first care about the oppressed.