Combining Texts

All the ideas for 'Taking Rights Seriously', 'On Platonism in Mathematics' and 'Philosophy without Intuitions'

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8 ideas

2. Reason / E. Argument / 7. Thought Experiments
So-called 'though experiments' are just philosophers observing features of the world [Cappelen]
     Full Idea: What are called 'thought experiments' in philosophy are in effect just philosophers drawing our attention to interesting features of the world.
     From: Herman Cappelen (Philosophy without Intuitions [2012], 11.3)
     A reaction: Thought experiments are said to rely (perhaps excessively) on 'intuition', but Cappelen says intuition is irrelevant, because we are merely making judgements. It think they ARE experiments, if one feature varies while the rest is held steady.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
     Full Idea: Very few things in set theory remain valid in intuitionist mathematics.
     From: Paul Bernays (On Platonism in Mathematics [1934])
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
     Full Idea: A restricted Platonism does not claim to be more than, so to speak, an ideal projection of a domain of thought.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.261)
     A reaction: I have always found Platonism to be congenial when it talks of 'ideals', and ridiculous when it talks of a special form of 'existence'. Ideals only 'exist' because we idealise things. I may declare myself, after all, to be a Restricted Platonist.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
     Full Idea: Mathematical abstraction does not have a lesser degree than logical abstraction, but rather another direction.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.268)
     A reaction: His point is that the logicists seem to think that if you increasingly abstract from mathematics, you end up with pure logic.
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen]
     Full Idea: Careful study of uses of 'intuitive' will reveal that it often plays no significant argumentative role, and that removal will improve overall argumentative transparency.
     From: Herman Cappelen (Philosophy without Intuitions [2012], 04.1)
     A reaction: This is a key part of Cappelen's argument that 'intuition' is a rather empty concept, and that philosophers do not really rely on it. In effect, he is consigning it to mere rhetoric. He gives lots of examples in support.
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Dworkin believed we should promote equality, to increase autonomy [Dworkin, by Kekes]
     Full Idea: Egalitarians believe that most often it is by promoting equality that autonomy is increased; this is the egalitarianism of such liberals as Ronald Dworkin.
     From: report of Ronald Dworkin (Taking Rights Seriously [1977]) by John Kekes - Against Liberalism 05.1
     A reaction: Not my idea of equality. The whole point is to ascribe reasonable equality to everyone, including those with a limited capacity for autonomy. Equality is a consequence of universal respect.
25. Social Practice / B. Equalities / 1. Grounds of equality
We can treat people as equals, or actually treat them equally [Dworkin, by Grayling]
     Full Idea: Dworkin distinguishes between treating people as equals, that is, 'with equal concern and respect', and treating them equally. This latter can be unjust.
     From: report of Ronald Dworkin (Taking Rights Seriously [1977]) by A.C. Grayling - The Good State 2
     A reaction: The big difference I see between them is that the first is mere words, and the second is actions. Cf. 'thoughts and prayers' after US school shootings. How about equal entitlements, all things being equal?
Treating people as equals is the one basic value of all plausible political theories [Dworkin, by Kymlicka]
     Full Idea: Dworkin suggests that every plausible political theory has the same ultimate value, which is equality - in the more abstract and fundamental sense of treating people 'as equals'.
     From: report of Ronald Dworkin (Taking Rights Seriously [1977], 179-83) by Will Kymlicka - Contemporary Political Philosophy (1st edn)
     A reaction: I associate this idea with Kant (who says they are equal by virtue of their rationality), so that's a pretty influential idea. I would associate the main challenge to this with Nietzsche.