[if no-one calls them out on it, declare victory. Otherwise wait a bit.]
No wait, the example shows A (but actually shows A″)
[if no-one calls them out on it, declare victory. Otherwise wait a bit.]
No wait, the example shows A (but actually shows A‴)
[if no-one calls them out on it, declare victory. Otherwise wait a bit.]
No wait, the example shows A (but actually shows A‴’)
etc.
Whereas your argument was:
A->B
Example purportedly showing A’
Therefore B.
[time passes]
No wait, the example shows A.
These, at first glance, are the same.
By ignoring terminology as uninteresting and constructing arguments that initially are consistent with these false proof techniques, you’re downgrading yourself in the eyes of anyone who uses Bayesian reasoning (consciously or unconsciously) and assigns a non-zero prior to you (deliberately or unwittingly) using a false proof technique.
In this case you’ve recovered by repairing the proof; this does not help for initial impressions (anyone encountering your reasoning for the first time, in particular before the proof has been repaired).
If you’ve already considered this and decided it wasn’t worth it, fair I suppose. I don’t think that’s a good idea, but I can see how someone with different priors could plausibly come to a different conclusion. If you haven’t considered this… hopefully this helps.
As far as I can see my argument was clear from the start and nobody seems to have been confused by this point of it other than you. I’ll admit I’m wrong if some people respond to my comment by saying that they too were confused by this point of my argument and your comment & my response to it helped clear things up for them.
It seems to me that you’re (intentionally or not) trying to find mistakes in the post. I’ve seen you do this in other posts as well and have messaged you privately about it, but since you said you’d rather discuss this issue in public I’m bringing it up here.
Any post relies on some amount of charity on the part of the reader to interpret it correctly. It’s fine if you’re genuinely confused about what I’m saying or think I’ve made a mistake, but your behavior seems more consistent with a fishing expedition in which you’re hunting for technically wrong statements to pick on. This might be unintentional on your part or a reflection of my impatience with this kind of response, but I find it exhausting to have to address these kinds of comments that appear to me as if they are being made in bad faith.
It seems to me that you’re (intentionally or not) trying to find mistakes in the post.
It is obvious we have a fundamental disagreement here, and unfortunately I doubt we’ll make progress without resolving this.
Euclid’s Parallel Postulate was subtly wrong. ‘Assuming charity’ and ignoring that would not actually help. Finding it, and refining the axioms into Euclidean and non-Euclidean geometry, on the other hand...
Fair.
Terminology is uninteresting, but important.
There is a false proof technique of the form:
A->B
Example purportedly showing A’
Therefore B
[if no-one calls them out on it, declare victory. Otherwise wait a bit.]
No wait, the example shows A (but actually shows A″)
[if no-one calls them out on it, declare victory. Otherwise wait a bit.]
No wait, the example shows A (but actually shows A‴)
[if no-one calls them out on it, declare victory. Otherwise wait a bit.]
No wait, the example shows A (but actually shows A‴’)
etc.
Whereas your argument was:
A->B
Example purportedly showing A’
Therefore B.
[time passes]
No wait, the example shows A.
These, at first glance, are the same.
By ignoring terminology as uninteresting and constructing arguments that initially are consistent with these false proof techniques, you’re downgrading yourself in the eyes of anyone who uses Bayesian reasoning (consciously or unconsciously) and assigns a non-zero prior to you (deliberately or unwittingly) using a false proof technique.
In this case you’ve recovered by repairing the proof; this does not help for initial impressions (anyone encountering your reasoning for the first time, in particular before the proof has been repaired).
If you’ve already considered this and decided it wasn’t worth it, fair I suppose. I don’t think that’s a good idea, but I can see how someone with different priors could plausibly come to a different conclusion. If you haven’t considered this… hopefully this helps.
As far as I can see my argument was clear from the start and nobody seems to have been confused by this point of it other than you. I’ll admit I’m wrong if some people respond to my comment by saying that they too were confused by this point of my argument and your comment & my response to it helped clear things up for them.
It seems to me that you’re (intentionally or not) trying to find mistakes in the post. I’ve seen you do this in other posts as well and have messaged you privately about it, but since you said you’d rather discuss this issue in public I’m bringing it up here.
Any post relies on some amount of charity on the part of the reader to interpret it correctly. It’s fine if you’re genuinely confused about what I’m saying or think I’ve made a mistake, but your behavior seems more consistent with a fishing expedition in which you’re hunting for technically wrong statements to pick on. This might be unintentional on your part or a reflection of my impatience with this kind of response, but I find it exhausting to have to address these kinds of comments that appear to me as if they are being made in bad faith.
It is obvious we have a fundamental disagreement here, and unfortunately I doubt we’ll make progress without resolving this.
Euclid’s Parallel Postulate was subtly wrong. ‘Assuming charity’ and ignoring that would not actually help. Finding it, and refining the axioms into Euclidean and non-Euclidean geometry, on the other hand...