A Quiz (about "or" in English and in philosophers' English)
<update 2007-01-18>The poll is closed. The results are pretty much as I expected.</update>
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<update 2007-01-18>The poll is closed. The results are pretty much as I expected.</update>
If I say "", you would often take me to have asserted both "" and "". A quick internet search didn't come up with any useful literature on this, so I'd be grateful for pointers.
To my surprise, there are quite a few people here at ANU who believe that probabilities of various kinds can be modeled in terms of relative size of propositions: something has probability 1 if it is true in all (or 100%) of the relevant worlds, probability 0 if it is true in none (or 0%), and probability 0.5 if it is true in half of the worlds (or 50%). I also find it surprisingly hard to explain why I think that's wrong. Here are two arguments I've come up with so far (apart from obvious worries about making sense of these fractions in infinite and proper-class cases).
Let's say that something X is nomologically possible if it is true at some world where the actual laws of nature are true. The actual laws may or may not be laws at this world. All we require is that they are true there.
Now consider a chancy law according to which a coin tossed in some standard way has a 50 percent chance of landing heads. For this to be a law at some world w means that it is part of the best theory of w, or that it represents the actual propensities in w, or something like that. What does it mean for it to be merely true at a world?
Here's an .htaccess trick I often find handy, but have never seen mentioned elsewhere, so I thought I might share. It gives you two routes to accessing the same files: one password protected and the other unprotected. In the files, you can then check how they have been accessed and turn on/off features accordingly.
RewriteEngine On RewriteRule ^admin$ %{REQUEST_URI}/ [R,L] RewriteRule ^admin/(.*) $1 [QSA,E=ADMIN:%{REMOTE_USER}] AuthName "Admin" AuthUserFile /full_path/.htpasswd AuthType Basic Allow From All <Files admin> require valid-user </Files>
If you put this in your root dir (for example), you can now access all files either via /filename or, password protected, via /admin/filename (even though there isn't really an 'admin' directory on the server). In the second case, the server environment variable REDIRECT_ADMIN will store the username used to log in. So now you can do stuff like this in any file:
<?php $admin = strpos($_SERVER['REQUEST_URI'], 'admin') ? $_SERVER['REDIRECT_ADMIN'] : ''; ... if ($admin) { print '<script src="ajaxy_admin_functions.js" type="text/javascript"><script>'; } ?> <foo> bar <?=($admin ? "<a href='?delete=765'>delete this<a>" : "")?> </foo> <?php if ($admin && $_GET['delete']) { // process request } ?>
Sometimes I wish I hadn't done something, and that I could undo what I did. That is a coherent desire. What I desire is after all not that the world be such that at time t1, I do X, and then at t2, I do something else to the effect that at t1, I didn't do X. That's nonsense (unless I wish to inhabit a branching universe, which, let's stipulate, I don't). Rather, I desire that at t2, I do something to the effect that at t1, I didn't do X in the first place.
A harder case: suppose I wish I had never existed, and wish to undo my existence. That still makes sense, I guess. It's like the wish to be somebody else: I wish to do be a person who does something such that by doing this, they make it the case that the person I in fact am never came into existence.
Does the conceivability of zombies threaten type-A materialism, the claim that all mental truths are a priori entailed by the physical truths?
We can imagine beings exactly like us in all physical respects, but lacking consciousness. But this doesn't threaten type-A materialism (as I mentioned here). After all, it isn't a priori that materialism is true. It could have turned out that ectoplasmic states, rather than brain states, occupy the causal roles that, by analytic necessity, belong to mental states. Suppose it turned out that way. Then duplicating only our physical constitution would result in a being that is physically just like us, but lacking consciousness. So by type-A materialist lights, it is conceivable that things are such that there are beings physically just like us without consciousness.
Is it metaphysically necessary that like charges repel? One might think so: one might think that "charge" is partly defined by its theoretical role, so that this claim comes out analytic. Or one might think that science reveals to us the essence of properties, and that it is part of this essence of charge that like charges repel.
If that law about charges is metaphysically necessary, one might suspect that quite generally, nomological necessity coincides with metaphysical necessity (though see below for an argument against this suspicion):
Sorry, the server has been down quite a lot recently. Hope it's back to normal now.
Here's the talk I gave at Kioloa. It's partly identical to the talk I gave at GAP.6 in Berlin, but with more speculative ideas towards the end and less missionary appeals in between.
Are all truths entailed by logical truths? Depends on what we mean by "all truths" and "entailed" and "logical".
Let's understand a truth to be a true sentence of English, possibly enriched by logical vocabulary. As for entailment, let's distinguish metaphysical entailment (necessarily, if P then Q) from analytical (or conceptual or a priori) entailment. The precise definition of these notions, and the differences between them, won't matter.
I was at a student conference at the ANU Coastal Campus in Kioloa this weekend. Australia doesn't have a proper railway system, so I went there by bike. I didn't really know what to expect, since the maps here are about as bad as the railway system. Here's a brief description of the route.
On the way down, I went via Captain's Flat to Braidwood and from there on King's Highway and Princess Highway to Kioloa. With a few short sightseeing detours, that's about 230km. The way back I stayed on King's Highway after Braidwood, bringing the total distance to 210km. The route profile is similar on both ways: about 30km up- and downhill after Canberra, then 20 km almost flat, then it goes mostly up for ~10 km to the Great Dividing Range/Tallaganda NP (the highest point of the journey), then down again, and then mostly flat, before the road steeply descends into the coastal area. Then it's a lot of uphill and downhill again to Bateman's Bay (35km), and then another 45km slightly hilly to Kioloa beach. In total, I'd estimate you go about 1300m down and 800m up from Canberra to Kioloa. The detour to Captain's Flat is definitely worth it for the nice views and the almost car-free roads, but it's also more demanding, not only because it's longer, but also because the road is partly unsealed. Even on the Highway, there isn't that much traffic though, especially between Bungendore and Bateman's Bay. With good breaks and lights, lots of water and a break during the hottest time of the day (which I took on the way down, but stupidly not on the way back), this is a very enjoyable journey.
JC lent me his camera, so I took a lot of boring pictures of landscapes and dead animals.
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