If that were so...
Agreed. Edit: I don't think the one claim means the other, but I do agree that the one (in this case) implies the other. Do you believe that the sky's being blue excludes its being (at the same time and in the same respect) red?
A student writing down "x>2" would have stated an infinity of beliefs about the answer.
Well, the student could be said to believe an infinity of things about the answer, not that the student has stated such an infinity. We agree that to state (or explicitly think about) an infinity of beliefs would be impossible.
Where is it located in your brain?
In response to Dave (the other one), I distinguished beliefs on my view into occurrent beliefs (those beliefs that do or have corresponded to some neural process) and extrapolated beliefs (those beliefs, barring any new information, my brain could predictably arrive at from occurrent beliefs). I am saying that I should be said to believe right now both all of my occurrent beliefs and all my extrapolated beliefs, and that my extrapolated beliefs are infinite. My extrapolated beliefs have no place in my brain, but they're safely in the bounds of logic+physics.
I plead the Chewbacca defense.
I...haven't heard that one.
There's another problem if you consider all the implications as if they were your beliefs, even if you've not explicitly followed the implication.
I don't think this, I agree that this would lead to absurd results.
A few notes about the site mechanics
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If English is not your first language, don't let that make you afraid to post or comment. You can get English help on Discussion- or Main-level posts by sending a PM to one of the following users (use the "send message" link on the upper right of their user page). Either put the text of the post in the PM, or just say that you'd like English help and you'll get a response with an email address.
* Normal_Anomaly
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A note for theists: you will find the Less Wrong community to be predominantly atheist, though not completely so, and most of us are genuinely respectful of religious people who keep the usual community norms. It's worth saying that we might think religion is off-topic in some places where you think it's on-topic, so be thoughtful about where and how you start explicitly talking about it; some of us are happy to talk about religion, some of us aren't interested. Bear in mind that many of us really, truly have given full consideration to theistic claims and found them to be false, so starting with the most common arguments is pretty likely just to annoy people. Anyhow, it's absolutely OK to mention that you're religious in your welcome post and to invite a discussion there.
A list of some posts that are pretty awesome
I recommend the major sequences to everybody, but I realize how daunting they look at first. So for purposes of immediate gratification, the following posts are particularly interesting/illuminating/provocative and don't require any previous reading:
More suggestions are welcome! Or just check out the top-rated posts from the history of Less Wrong. Most posts at +50 or more are well worth your time.
Welcome to Less Wrong, and we look forward to hearing from you throughout the site!
Note from orthonormal: MBlume and other contributors wrote the original version of this welcome post, and I've edited it a fair bit. If there's anything I should add or update on this post (especially broken links), please send me a private message—I may not notice a comment on the post. Finally, once this gets past 500 comments, anyone is welcome to copy and edit this intro to start the next welcome thread.