Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Fallibilism' and 'Concepts and Counting'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
     Full Idea: One requirement for a successful count is that double counting should be avoided: a single object should not be counted twice. ...but that is to make a knowledgeable judgement of distinctness - to resolve a question of identity in the negative.
     From: Ian Rumfitt (Concepts and Counting [2002], III)
     A reaction: He also notes later (p.65) that you must count all and only the right things.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
     Full Idea: We hit trouble if we hear answers to some 'How many?' questions as predications about concepts. The correct answer to 'how many gallons of water are in the tank?' may be 'ten', but that doesn''t mean ten things instantiate 'gallon of water in the tank'.
     From: Ian Rumfitt (Concepts and Counting [2002], I)
     A reaction: Rumfitt makes the point that a huge number of things instantiate that concept in a ten gallon tank of water. No problem, says Rumfitt, because Frege wouldn't have counted that as a statement of number.
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
We can't normally say that we know something 'but it might be false' [Dougherty]
     Full Idea: It will ordinarily be conversationally inappropriate to say 'I know that p, but p might be false' even if it is true, since this would mislead an interlocutor to infer that that possibility was an epistemically significant one.
     From: Trent Dougherty (Fallibilism [2011], 'Epistemic')
     A reaction: This seems to imply hypocrisy when a fallibilist philosopher claims (in non-philosophical company) to know something. Fair enough. Philosophers are in a permanent state of hypocrisy about what they are really thinking. That's the fun of it.
Fallibilism is consistent with dogmatism or scepticism, and is not alternative to them [Dougherty]
     Full Idea: There has been a tendency to treat fallibilism as an alternative to either dogmatism or scepticism. ...But it is much better to think of fallibilism as consistent with either dogmatism or skepticism.
     From: Trent Dougherty (Fallibilism [2011], 'Closure')
     A reaction: It seems perfectly reasonably to describe oneself as a 'fallibilist dogmatist' (perhaps from the Pope?), or a 'fallibilist sceptic' (perhaps from Peter Unger?), so this idea sounds correct.
It is best to see the fallibility in the reasons, rather than in the agents or the knowledge [Dougherty]
     Full Idea: It seems best to take fallible reasons as the basic notion of fallibilism. So fallible knowers are agents who know what they know on the basis of fallible reasons. Fallible knowledge will be knowledge on basis of fallible reasons.
     From: Trent Dougherty (Fallibilism [2011], 'Cognates')
     A reaction: This is because an ideal knower would be compelled by the evidence, so if fallibilism is universal it must reside in the evidence and not in the knower (bottom p.131).
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').