Combining Texts

All the ideas for 'fragments/reports', 'Is Mathematics purely Linguistic?' and 'Modal and Anti-Luck Epistemology'

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5 ideas

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.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
'Modal epistemology' demands a connection between the belief and facts in possible worlds [Black,T]
     Full Idea: In 'modal epistemologies' a belief counts as knowledge only if there is a modal connection - a connection not only to the actual world, but also to other non-actual possible worlds - between the belief and the facts of the matter.
     From: Tim Black (Modal and Anti-Luck Epistemology [2011], 1)
     A reaction: [Pritchard 2005 seems to be a source for this] This sounds to me a bit like Nozick's tracking or sensitivity theory. Nozick is, I suppose, diachronic (time must pass, for the tracking), where this theory is synchronic.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
Gettier and lottery cases seem to involve luck, meaning bad connection of beliefs to facts [Black,T]
     Full Idea: The protagonists in Gettier cases and in lottery cases fail to have knowledge because their beliefs are true simply as a matter of luck, where this means that their beliefs themselves are not appropriately connected to the facts.
     From: Tim Black (Modal and Anti-Luck Epistemology [2011], 1)
     A reaction: The lottery problem is you correctly believe 'my ticket won't win the lottery' even though you don't seem to actually know it won't. Is the Gettier problem simply the problem of lucky knowledge? 'Luck' is a rather vague concept.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Virtue comes more from habit than character [Critias]
     Full Idea: More men are good through habit than through character.
     From: Critias (fragments/reports [c.440 BCE], B09), quoted by John Stobaeus - Anthology 3.29.41
28. God / C. Attitudes to God / 5. Atheism
Fear of the gods was invented to discourage secret sin [Critias]
     Full Idea: When the laws forbade men to commit open crimes of violence, and they began to do them in secret, a wise and clever man invented fear of the gods for mortals, to frighten the wicked, even if they sin in secret.
     From: Critias (fragments/reports [c.440 BCE], B25), quoted by Sextus Empiricus - Against the Professors (six books) 9.54