26 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
19558 | Our own intuitions about whether we know tend to vacillate [Cohen,S] |
19561 | We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S] |
19563 | The context sensitivity of knowledge derives from its justification [Cohen,S] |
19560 | Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S] |
19559 | Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S] |
21233 | The beautiful is whatever it is intrinsically good to admire [Moore,GE] |
8039 | Moore tries to show that 'good' is indefinable, but doesn't understand what a definition is [MacIntyre on Moore,GE] |
22151 | The Open Question argument leads to anti-realism and the fact-value distinction [Boulter on Moore,GE] |
11056 | The naturalistic fallacy claims that natural qualties can define 'good' [Moore,GE] |
8033 | Moore cannot show why something being good gives us a reason for action [MacIntyre on Moore,GE] |
8032 | Can learning to recognise a good friend help us to recognise a good watch? [MacIntyre on Moore,GE] |
11050 | Moore's combination of antinaturalism with strong supervenience on the natural is incoherent [Hanna on Moore,GE] |
23726 | Despite Moore's caution, non-naturalists incline towards intuitionism [Moore,GE, by Smith,M] |
18676 | We should ask what we would judge to be good if it existed in absolute isolation [Moore,GE] |
11057 | It is always an open question whether anything that is natural is good [Moore,GE] |
5925 | The three main values are good, right and beauty [Moore,GE, by Ross] |
5902 | For Moore, 'right' is what produces good [Moore,GE, by Ross] |
5903 | 'Right' means 'cause of good result' (hence 'useful'), so the end does justify the means [Moore,GE] |
5907 | Relationships imply duties to people, not merely the obligation to benefit them [Ross on Moore,GE] |