11 ideas
| 4261 | The Lottery Paradox says each ticket is likely to lose, so there probably won't be a winner [Bonjour, by PG] |
| Full Idea: The Lottery Paradox says that for 100 tickets and one winner, each ticket has a .99 likelihood of defeat, so they are all likely to lose, so there is unlikely to be a winner. | |
| From: report of Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], §5) by PG - Db (ideas) | |
| A reaction: The problem seems to be viewing each ticket in isolation. If I buy two tickets, I increase my chances of winning. |
| 8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
| Full Idea: The modal structuralist thinks of mathematical structures as possibilities. The application of mathematics is just the realisation that a possible structure is actualised. As structures are possibilities, realist ontological problems are avoided. | |
| From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Michèle Friend - Introducing the Philosophy of Mathematics 4.3 | |
| A reaction: Friend criticises this and rejects it, but it is appealing. Mathematics should aim to be applicable to any possible world, and not just the actual one. However, does the actual world 'actualise a mathematical structure'? |
| 9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
| Full Idea: Hellman represents statements of pure mathematics as elliptical for modal conditionals of a certain sort. | |
| From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Charles Chihara - A Structural Account of Mathematics 5.3 | |
| A reaction: It's a pity there is such difficulty in understanding conditionals (see Graham Priest on the subject). I intuit a grain of truth in this, though I take maths to reflect the structure of the actual world (with possibilities being part of that world). |
| 10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
| Full Idea: The usual way to show that a sentence is possible is to show that it has a model, but for Hellman presumably a sentence is possible if it might have a model (or if, possibly, it has a model). It is not clear what this move brings us. | |
| From: comment on Geoffrey Hellman (Mathematics without Numbers [1989]) by Stewart Shapiro - Philosophy of Mathematics 7.3 | |
| A reaction: I can't assess this, but presumably the possibility of the model must be demonstrated in some way. Aren't all models merely possible, because they are based on axioms, which seem to be no more than possibilities? |
| 4255 | Externalist theories of knowledge are one species of foundationalism [Bonjour] |
| Full Idea: Externalist theories of knowledge are one species of foundationalism. | |
| From: Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], Intro) | |
| A reaction: I don't see why there shouldn't be a phenomenalist, anti-realist version of externalism, which just has 'starting points' instead of a serious commitment to foundations. |
| 4257 | The big problem for foundationalism is to explain how basic beliefs are possible [Bonjour] |
| Full Idea: The fundamental question that must be answered by any acceptable version of foundationalism is: how are basic beliefs possible? | |
| From: Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], §I) | |
| A reaction: This question seems to be asking for a justification for basic beliefs, which smacks of 'Who made God?' Look, basic beliefs are just basic, right? |
| 4256 | The main argument for foundationalism is that all other theories involve a regress leading to scepticism [Bonjour] |
| Full Idea: The central argument for foundationalism is simply that all other possible outcomes of the regress of justifications lead inexorably to scepticism. | |
| From: Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], §I) | |
| A reaction: If you prefer coherence to foundations, you need the security of reason to assess the coherence (which seems to be an internal foundation!). |
| 4258 | Extreme externalism says no more justification is required than the truth of the belief [Bonjour] |
| Full Idea: The most extreme version of externalism would be one that held that the external condition required for justification is simply the truth of the belief in question. | |
| From: Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], §II) | |
| A reaction: The question is, why should we demand any more than this? The problem case is, traditionally, the lucky guess, but naturalist may say that these just don't occur with any regularity. We only get beliefs right because they are true. |
| 4259 | External reliability is not enough, if the internal state of the believer is known to be irrational [Bonjour] |
| Full Idea: External or objective reliability is not enough to offset subjective irrationality (such as unexplained clairvoyance). | |
| From: Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], §IV) | |
| A reaction: A good argument. Where do animals fit into this? If your clairvoyance kept working, in the end you might concede that you 'knew', even though you were baffled about how you managed it. |
| 4260 | Even if there is no obvious irrationality, it may be irrational to base knowledge entirely on external criteria [Bonjour] |
| Full Idea: It may be that where there are no positive grounds for a charge of irrationality, the acceptance of a belief with only external justification is still subjectively irrational in a sense that rules out its being epistemologically justified. | |
| From: Laurence Bonjour (Externalist Theories of Empirical Knowledge [1980], §IV) | |
| A reaction: A key objection. Surely rational behaviour requires a judgement to be made before a belief is accepted? If you are consistently clairvoyant, you must ask why. |
| 20041 | Intentional actions are those which are explained by giving the reason for so acting [Anscombe] |
| Full Idea: Intentional actions are those to which a certain sense of the question 'Why?' is given application; the sense is of course that in which the answer, if positive, gives a reason for acting. | |
| From: G.E.M. Anscombe (Intention [1957], p.9), quoted by Rowland Stout - Action 2 'Two kinds' | |
| A reaction: This works better for grand large-scale actions than for small ones, like taking the knife out of the drawer before the fork. Kahnemann nowadays tells us that the reasons we articulate might not be the ones that are operative. |