That looks like a test of my personal ability to form correct first-impression estimates.
Precisely.
Also “will prove to be sound upon further inquiry” is an iffy part. In practice what usually happens is that statement X turns out to be technically true only under conditions A, B, and C, however in practice there is the effect Y which counterbalances X and the implementation of X is impractical for a variety of reasons, anyway. So, um, was statement X “sound”? X-/
Ah, I see. “Sound” is not the right word for what I mean; what I would expect to occur if the thesis is correct is that statements will prove to be apposite or relevant or useful—that is to say, valuable contributions in the context within which they were uttered. In the case of X, this would hold if the person proposing X believed that those conditions applied in the case described.
A concrete example would be someone who said, “you can divide by zero here” in reaction to someone being confused by a definition of the derivative of a function in terms of the limit of a ratio.
Precisely.
Ah, I see. “Sound” is not the right word for what I mean; what I would expect to occur if the thesis is correct is that statements will prove to be apposite or relevant or useful—that is to say, valuable contributions in the context within which they were uttered. In the case of X, this would hold if the person proposing X believed that those conditions applied in the case described.
A concrete example would be someone who said, “you can divide by zero here” in reaction to someone being confused by a definition of the derivative of a function in terms of the limit of a ratio.