display all the ideas for this combination of philosophers
4 ideas
| 8616 | How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin] |
| Full Idea: How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? How can their relation to other less than tenable enhance their tenability? | |
| From: Catherine Z. Elgin (Non-foundationalist epistemology [2005], p.157) | |
| A reaction: Her example is witnesses to a crime. Bayes Theorem appears to deal with individual items. "The thief had green hair" becomes more likely with multiple testimony. This is a very persuasive first step towards justification as coherence. |
| 8617 | Statements that are consistent, cotenable and supportive are roughly true [Elgin] |
| Full Idea: The best explanation of coherence (where the components of a coherent account must be mutually consistent, cotenable and supportive) is that the account is at least roughly true. | |
| From: Catherine Z. Elgin (Non-foundationalist epistemology [2005], p.158) | |
| A reaction: Note that she is NOT employing a coherence account of truth (which I take to be utterly wrong). It is notoriously difficult to define coherence. If the components must be 'tenable', they have epistemic status apart from their role in coherence. |
| 17774 | Definitions make our intuitions mathematically useful [Mayberry] |
| Full Idea: Definition provides us with the means for converting our intuitions into mathematically usable concepts. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1) |
| 17773 | Proof shows that it is true, but also why it must be true [Mayberry] |
| Full Idea: When you have proved something you know not only that it is true, but why it must be true. | |
| From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-2) | |
| A reaction: Note the word 'must'. Presumably both the grounding and the necessitation of the truth are revealed. |