Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Completeness of Axioms of Logic' and 'Fallibilism'

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5 ideas

4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC
Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]
     Full Idea: Gödel proved the completeness of first order predicate logic in his doctoral dissertation of 1930.
     From: report of Kurt Gödel (Completeness of Axioms of Logic [1930]) by Michal Walicki - Introduction to Mathematical Logic History E.2.2
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
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).
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.
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').