5 ideas
| 19735 | Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco] |
| Full Idea: Intuitively, understanding is more valuable than knowledge and wisdom is more valuable than understanding. | |
| From: John Greco (The Value Problem [2011], 'Knowledge') | |
| A reaction: Down at the bottom is having an 'inkling' of something, I presume. Not convinced of this. I would rate understanding above knowledge, but wisdom seems rather different. It implies a breadth that does not focus on any particular topic. |
| 18189 | ZFC could contain a contradiction, and it can never prove its own consistency [MacLane] |
| Full Idea: We have at hand no proof that the axioms of ZFC for set theory will never yield a contradiction, while Gödel's second theorem tells us that such a consistency proof cannot be conducted within ZFC. | |
| From: Saunders MacLane (Mathematics: Form and Function [1986], p.406), quoted by Penelope Maddy - Naturalism in Mathematics | |
| A reaction: Maddy quotes this, while defending set theory as the foundation of mathematics, but it clearly isn't the most secure foundation that could be devised. She says the benefits of set theory do not need guaranteed consistency (p.30). |
| 19734 | If value is practical, knowledge is no better than true opinion [Greco] |
| Full Idea: Why should knowledge be more valuable than true opinion, if their practical value is the same? | |
| From: John Greco (The Value Problem [2011], Intro) | |
| A reaction: We have exam systems and academic titles to bestow social prestige on people who know, not to mention quiz shows. Modern society needs lots of knowledgeable citizens. I'm not sure what intrinsic value knowledge could have. |
| 19733 | Externalist theories don't explain why knowledge has value [Greco] |
| Full Idea: Externalist theories do not give knowledge the sort of value that internalists want knowledge to have. | |
| From: John Greco (The Value Problem [2011], Intro) | |
| A reaction: [He cites Pritchard 2008] This is not a very strong argument, given the uncertainties and complexities in the idea that we share a 'value'. If the value of knowledge is really instrumental (and loved no less because of that), then externalism could cope. |
| 3029 | Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius] |
| Full Idea: Stilpo asked a man whether Athena is the daughter of Zeus, and when he said yes, said,"But this statue of Athena by Phidias is the child of Phidias, so it is not a god." | |
| From: report of Stilpo (fragments/reports [c.330 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.10.5 |