> Rather than propose something I've not,
Oh really? This is what you wrote: “Can Jack look at a broken clock? Surely. Can Jack believe what the clock says? Surely. Why then, can he not believe that a broken clock is working?”.
To obtain “Jack believes that broken clock was working” you simply replaced the term “broken clock” from “Jack looks at a broken clock” with the term “the clock” from “Jack believe what the clock says”. This is a substitution operation applied to two propositions (one reporting a belief ascription), to obtain a third proposition (reporting a belief ascription) based on the sheer co-reference of some terms involved. That is why I call it propositional calculus. Indeed a propositional calculus that is supposed to work independently from any other pragmatic and contextual considerations. Hence: you proposed something by applying some propositional calculus that I find quite preposterous.
Since you didn’t perceive how preposterous your argumentative approach is, then I gave you another case where your type of reasoning (i.e. propositional calculus applied to belief ascriptions, based on sheer co-reference, and indifferent to any pragmatic/contextual considerations) looks more evidently preposterous: if one can render “S did/did not believed that p” as “p and S did/did not believe it” and vice versa, and one can take p="that broken clock was working”, why can’t I justifiably render “Jack did believe that broken clock was working” as “that broken clock was working and Jack did believe it”?
> would it not just be easier to answer the question following from the simple understanding set out with common language use?
That’s what I and others did, unless you think you are a more competent speaker than all of those who objected your rendering, you should take this as a linguistic datum and infer that your account is not that common language usage, after all. And indeed you did that already when you claimed to be questioning the “conventional” belief account.
Let me repeat once more: I don’t feel intellectually compelled to answer questions based on preposterous assumptions, like this one:“Can Jack look at a broken clock? Surely. Can Jack believe what the clock says? Surely. Why then, can he not believe that a broken clock is working?”. But I can certainly show you why I find them preposterous (which I did). BTW, as far as I read from your posts [1], this is the only argument you made to justify your belief ascription rendering (besides your thought experiment with a fictional character that — surprise surprise — agrees with you!).
Anyways, I now question this justification not simply because its conclusion is wrong (which is), but also because itself is flawed by design (even if your conclusion was correct)!
> Do you not find it odd that Jack would agree, if and when he figured out that the clock was broken?
Seriously?! By “Jack” you mean a fictional character in a story that you just invented? Oh no, that’s not odd at all, it would be indeed much more odd if you invented stories where fictional characters explicitly contradict your theories, and despite that you used those stories to prove your theory.
OK let me help you with your case. Indeed, I think there might be a way out for you but only if you reject this line of reasoning: “Can Jack look at a broken clock? Surely. Can Jack believe what the clock says? Surely. Why then, can he not believe that a broken clock is working?” (along with the idea that
de re belief ascriptions are appropriate independently from pragmatic and contextual considerations, or a better rendering than
de dicto belief ascriptions). Indeed if you rejected that line of reasoning, then you could explain the situation in your thought experiment based on pragmatic considerations and shared assumptions, much better. How? Here you go: since at moment t2, you and Jack share the same assumptions about the reliability of that clock, the belief of Jack about that clock at t1, and the rationality of you and Jack, then
between you two it would be easier to disambiguate the claim “Jack believed that broken clock was working”, and this is why you two would not find it so problematic to use that belief ascription (BTW that is also why we can't exclude a non-literal or ironic reading of this belief ascription either). However, as soon as we add to the story another interlocutor who doesn’t share all the same assumptions relevant to disambiguate “Jack believed that broken clock was working” then this rendering would be again inappropriate or less appropriate than
de dicto rendering “Jack believed that clock was working”.
> Interesting thing here to me is that on the one hand you're railing against propositional calculus(as you call it), and yet again on the other your unknowingly objecting based upon the fact that Jack would not assent to his own belief if it were put into propositional form and he was asked if he believed the statement. At least, not while he still believed it.
There are 2 problems in your comment:
- It can be misleading to claim that I’m “railing against propositional calculus”. I’m more precisely railing about the propositional calculus you applied to belief ascription rendering in order to justify the claim that “Jack believes that broken clock is working” is not only fine independently from any pragmatic and contextual considerations, but even better than the de dicto rendering “Jack believes that clock is working”.
- I didn’t make the claim you denounce here “your unknowingly objecting based upon the fact that Jack would not assent to his own belief if it were put into propositional form and he was asked if he believed the statement.” (ironically, you were the one repeatedly suggesting me to stick to what you write), nor my line of reasoning requires the claim “Jack would not assent to his own belief if it were put into propositional form and he was asked if he believed the statement. At least, not while he still believed it.” to be true, independently from pragmatic and contextual considerations (see the way out I suggested you previously).
[1] If you have others and can provide links, I’d like to read them.