The only error is to refuse to “cash out” the meaning of “arithmetic” into well-defined >predictions, but instead keep it boxed up into one ambiguous term,
Silas: This is really quite frustrating. I keep telling you exactly what I mean by arithmetic (the standard model of the natural numbers); I keep using the word to mean this and only this, and you keep claiming that my use of the word is either ambiguous or inconsistent. It makes it hard to imagine that you’re actually reading before you’re responding, and it makes it very difficult to carry on a dialogue. So for that reason, I think I’ll stop here.
When I saw this in the comment feed, I thought “Wow, Steve Landsburg on Less Wrong!” Then I saw that he was basically just arguing with one person.
While I think you’re not correct in this debate, I hope you’ll continue to post here. Your books have been a source of much entertainment and joy for me.
Bo102010: Thanks for the kind words. I’m not sure what the community standards are here, but I hope its not inappopriate to mention that I post to my own blog almost every weekday, and of course I’ll be glad to have you visit.
I can second that. Though, for a lack of education, I cannot tell who’s right in this debate, I don’t think anybody is for that it is just pure metaphysical musing about the nature of reality. But so far I really enjoyed reading your book. I also hope you’ll participate in other discussions here at lesswrong.com. It’s my favorite place.
Sorry for possible bad publicity, I committed the mistake to quick-share something which I’ve just read and found intriguing. Without the ability to portray it adequately. Especially on this forum which is rather about rationality as practical tool to attain your goals and not pure philosophy detached from evidence and prediction.
I also subscribed to your blog.
P.S.
Send you a message, you can find it in your inbox.
Are you reading my replies? Saying that arithmetic is “the standard model of the natural numbers” does not
“cash out” the meaning of “arithmetic” into well-defined predictions
For one thing, it doesn’t give me predictions (i.e. constraints on expectations) that we check to see who’s right.
For another, it’s not well-defined—it doesn’t tell me how I would know (as is necessary for the area of dispute) if arithmetic “exists” at this or that time. (And, of course, as you found out, it requires further specification of what counts as a model...)
(ETA: See Eliezer_Yudkowsky’s great posts on how to dissolve a question and get beyond there being One Right Answer to e.g. the vague question about a tree falling in the forest when no one’s around.)
So if you don’t see how that doesn’t count as cashing out the term and identifying the real disagreement, then I agree further discussion is pointless.
But truth be told, you’re not going to “stop there”. You going to continue on, promoting your “deep” insights, wherever you can, to people who don’t know any better, instead of doing the real epistemic labor achieving insights on the world.
Silas: This is really quite frustrating. I keep telling you exactly what I mean by arithmetic (the standard model of the natural numbers); I keep using the word to mean this and only this, and you keep claiming that my use of the word is either ambiguous or inconsistent. It makes it hard to imagine that you’re actually reading before you’re responding, and it makes it very difficult to carry on a dialogue. So for that reason, I think I’ll stop here.
When I saw this in the comment feed, I thought “Wow, Steve Landsburg on Less Wrong!” Then I saw that he was basically just arguing with one person.
While I think you’re not correct in this debate, I hope you’ll continue to post here. Your books have been a source of much entertainment and joy for me.
Bo102010: Thanks for the kind words. I’m not sure what the community standards are here, but I hope its not inappopriate to mention that I post to my own blog almost every weekday, and of course I’ll be glad to have you visit.
I can second that. Though, for a lack of education, I cannot tell who’s right in this debate, I don’t think anybody is for that it is just pure metaphysical musing about the nature of reality. But so far I really enjoyed reading your book. I also hope you’ll participate in other discussions here at lesswrong.com. It’s my favorite place.
Sorry for possible bad publicity, I committed the mistake to quick-share something which I’ve just read and found intriguing. Without the ability to portray it adequately. Especially on this forum which is rather about rationality as practical tool to attain your goals and not pure philosophy detached from evidence and prediction.
I also subscribed to your blog.
P.S. Send you a message, you can find it in your inbox.
Are you reading my replies? Saying that arithmetic is “the standard model of the natural numbers” does not
For one thing, it doesn’t give me predictions (i.e. constraints on expectations) that we check to see who’s right.
For another, it’s not well-defined—it doesn’t tell me how I would know (as is necessary for the area of dispute) if arithmetic “exists” at this or that time. (And, of course, as you found out, it requires further specification of what counts as a model...)
(ETA: See Eliezer_Yudkowsky’s great posts on how to dissolve a question and get beyond there being One Right Answer to e.g. the vague question about a tree falling in the forest when no one’s around.)
So if you don’t see how that doesn’t count as cashing out the term and identifying the real disagreement, then I agree further discussion is pointless.
But truth be told, you’re not going to “stop there”. You going to continue on, promoting your “deep” insights, wherever you can, to people who don’t know any better, instead of doing the real epistemic labor achieving insights on the world.