tag:blogger.com,1999:blog-3891434218564545511.post8483815004794662282..comments2024-03-28T19:56:42.305-05:00Comments on Alexander Pruss's Blog: Hyperintensional vaguenessAlexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger7125tag:blogger.com,1999:blog-3891434218564545511.post-23834326282820286382020-06-29T13:18:14.681-05:002020-06-29T13:18:14.681-05:00Thanks. I was taking "intensional" to r...Thanks. I was taking "intensional" to refer to cognition.Andrew Dabrowskihttps://www.blogger.com/profile/14194210589133048249noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-46086847616222605042020-06-29T13:13:12.861-05:002020-06-29T13:13:12.861-05:00extensional difference between F and G: some F is ...extensional difference between F and G: some F is not a G or some G is not an F<br />intensional difference between F and G: possibly (some F is not a G or some G is not an F)<br /><br />There is an extensional difference between "male" and "French". <br />There is no extensional difference between "human less than 10 feet tall" and "human". <br />There is an intensional difference between "human lass than 10 feet tall" and "human" (you could have a human who is more than 10 feet tall, but we don't actually have one, as far as I know).<br />There is neither extensional nor intensional difference between "polygon with three sides" and "polygon with three corners", but there is a hyperintensional one.<br />Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-42858287987801456522020-06-29T09:53:19.497-05:002020-06-29T09:53:19.497-05:00I'm confused about your use "intensional&...I'm confused about your use "intensional" and "extensional". I would have said that the two definitions you give of "triangle" are instensionally different but extensionally equivalent.Andrew Dabrowskihttps://www.blogger.com/profile/14194210589133048249noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-87687342260042451212020-06-26T17:23:06.646-05:002020-06-26T17:23:06.646-05:00Indeed, one way this could happen is if one didn&#...Indeed, one way this could happen is if one didn't know what "status" meant. One needs to have the concept of a status to grasp propositions involving the second definition but one doesn't need to have the concept of a status to grasp propositions involving the first definition. Consequently, propositions using the two definitions are different.<br /><br />Or consider how easily students make mistakes in logic. Consider two definitions that even closer than my first two:<br />- a marriageable man none of whose past marriages was a valid status<br />- a marriageable man none of whose past valid statuses was a marriage.<br /><br />Now consider logical renditions of "Jones is a bachelor" using the two definitions:<br />- Marriageable(jones) & Man(jones) & ∀x(Marriage(x) → ~(Status(x) & Valid(x)))<br />- Marriageable(jones) & Man(jones) & ∀x((Status(x) & Valid(x)) → ~Marriage(x)).<br /><br />It seems quite easy to imagine a logic student who accepts one of these claims but not the other. This suggests that they express different propositions.<br /><br />I suspect that it is relatively rare for two words to mean the same thing, even in terms of truth conditions. It is well-known that color words have different boundaries in different languages. I suspect the same is true of most other words. For instance, I expect that "It's snowing" in Canadian English and "Il neige" in French French will have subtly different truth conditions, with slight differences as one crosses, say, the boundary from snow to sleet. Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-89396673419860185882020-06-25T19:51:47.225-05:002020-06-25T19:51:47.225-05:00I'm still not seeing how someone could think t...I'm still not seeing how someone could think that none of Smith's previous marriages were valid and at the same time deny that none of his previous valid statuses was a marriage. After all, if one of Smith's previous valid statuses was a marraige, then one of his previous marriages is valid. To put it more strongly to have a previous valid status which is a marriage just is to have a previous valid marriage. One way this could perhaps happen is if the person did not know the meaning of status, but I doubt that's what you mean.<br /><br />You might say that referring to the same object is not sufficient for synonymy since Hesperus and Phosphorous have different meanings even though they refer to the same object. Howevr, while Hesperus and Phosphorous are proper names, I don't think everyday words like "status" work the same way as proper names. If they did, two different words could never mean the same thing and that is implausible. <br /><br />The other way this could happen is if the person was blatantly irrational and simultaneously believed and failed to believe the same proposition.Muralihttps://www.blogger.com/profile/08036249483538443818noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-87148745191541021382020-06-25T09:18:41.836-05:002020-06-25T09:18:41.836-05:00They are logically equivalent, yes, but they do no...They are logically equivalent, yes, but they do not *mean* the same thing. It is possible to believe that Smith is a bachelor1 without believing that Smith is a bachelor2, and vice versa.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-84056004829468524862020-06-25T03:24:54.402-05:002020-06-25T03:24:54.402-05:00I'm not sure what you mean by hyperintensional...I'm not sure what you mean by hyperintensional vagueness. All three definitions of bachelor seem exactly synonymous to me. Could you explain why they are different (apart from using slightly different words?)Muralihttps://www.blogger.com/profile/08036249483538443818noreply@blogger.com