Combining Texts

All the ideas for 'fragments/reports', 'Is Mathematics purely Linguistic?' and 'Philosophy without Intuitions'

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4 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.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Numbers are just verbal conveniences, which can be analysed away [Russell]
     Full Idea: Numbers are nothing but a verbal convenience, and disappear when the propositions that seem to contain them are fully written out.
     From: Bertrand Russell (Is Mathematics purely Linguistic? [1952], p.301)
     A reaction: This is the culmination of the process which began with his 1905 theory of definite descriptions. The intervening step was Wittgenstein's purely formal account of the logical connectives.
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.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?