• creativesoul
    12k
    Are you saying that Smith's belief doesn't matter?

    :-|
  • creativesoul
    12k
    Gettier wrote:

    Each of these propositions is entailed by (f). Imagine that Smith realizes the entailment of each of these propositions he has constructed by (0, and proceeds to accept (g), (h), and (i) on the basis of (f). Smith has correctly inferred (g), (h), and (i) from a proposition for which he has strong evidence. Smith is therefore completely justified in believing each of these three propositions. Smith, of course, has no idea where Brown is.

    That is precisely what needs a thorough unpacking.

    That is most certainly relevant.

    That IS Smith's belief that: ((p v q) is true because (p) is true)

    Or... more specifically...

    Smith's belief that: ((p v q) is true because (p) is true) is inferred from his belief that: ((p) is true), ((p v q) follows from p), ((p v q) is true if either (p) or (q) is true), and ((q) is not true).

    Show me where it goes wrong.
  • Srap Tasmaner
    5k

    Do you understand why that sentence is there?

    BTW, I've considered arguing that this is simply false:
    Smith, of course, has no idea where Brown is.

    But that's a whole 'nother thing.
  • creativesoul
    12k
    Not following Srap... what sentence?
  • creativesoul
    12k
    For the life me, I think that that nails the lid down on the coffin of case II.
  • creativesoul
    12k
    Gettier wrote:

    Imagine that Smith realizes the entailment of each of these propositions he has constructed by (0, and proceeds to accept (g), (h), and (i) on the basis of (f)...

    What else could such an imagining consist of if not exactly what I've painstakingly set out in such excruciating detail?

    Smith's belief that: ((p v q) is true because (p) is true) is inferred from his belief that: ((p) is true), ((p v q) follows from p), ((p v q) is true if either (p) or (q) is true), and ((q) is not true).
  • creativesoul
    12k
    So, Smith has false belief.

    It is not the case that (p v q) is true because (p) is true.

    Why ought the justification aspect matter here?

    :-|
  • creativesoul
    12k
    Granting that the second Gettier case has been effectively dissolved, which may still be in question for some, does the fact that everyone has been focused upon the justification aspect count as bewitchment, seeing how the belief aspect was the root of the problem?
  • Srap Tasmaner
    5k
    Granting that the second Gettier case has been effectively dissolved,creativesoul

    As far as I can tell, no.

    If Smith believes that (h), and is justified in his belief that (h), then if (h) is true, which it is, then Smith should know that (h), which he clearly doesn't.

    For judging Case II, nothing else is relevant.
  • creativesoul
    12k
    That has been refuted.
  • creativesoul
    12k
    Here is Smith's thought/belief process, in the timeline Gettier sets out. In other words, here is the imagining that Gettier asks the reader to perform...

    Gettier wrote:

    Imagine that Smith realizes the entailment of each of these propositions he has constructed by (0, and proceeds to accept (g), (h), and (i) on the basis of (f)...

    That is what the below unpacks, and what the earlier more condensed argument sets out as well as what the earlier long-form argument explains...

    p1. 'Jones owns a Ford' is true
    p2. 'Either Jones owns a Ford or Brown is in Barcelona' follows from 'Jones owns a Ford'
    p3. 'Either Jones owns a Ford or Brown is in Barcelona' is true if either 'Jones owns a Ford' or 'Brown is in Barcelona' is true
    p4. 'Brown is in Barcelona' is not true
    C. 'Either Jones owns a Ford or Brown is in Barcelona' is true because 'Jones owns a Ford' is true
  • Srap Tasmaner
    5k

    No, it really hasn't.

    Smith has a false belief that (f). From it he derives, by valid inference, a true belief that (h). I describe this as an application of modus ponens by Smith. I think that's accurate enough and it is roughly how Gettier presents it. You describe the modus ponens step as Smith forming a belief that (h) because (f). It makes no difference to the overall argument. Smith then concludes that (h), which is a justified and true belief that is apparently not knowledge.

    As I said, modus ponens does not actually apply here because (f) is false, although the conditional (f)→(h) is true. Smith, however, believes that (f), and thus is entirely consistent in applying modus ponens. His trouble comes not from making an inference he shouldn't -- he should, given his belief that (f); his trouble comes from having that false belief that (f).

    I think it would also be fair to say that his trouble comes from believing that the evidence he has for (f) is strong enough to warrant a claim to know that (f). It wasn't. But that's another story.

    (1) Smith does not believe that (h).

    (2) Smith's inference of (h) from (f) is faulty.

    What is your claim?
  • Srap Tasmaner
    5k
    p4. 'Brown is in Barcelona' is not truecreativesoul

    Here that means "Brown is not in Barcelona," and we are given no such claim.
  • creativesoul
    12k
    Randomly picked locations. Smith, of course, has no idea where Brown is.

    You figure Smith doesn't know that?

    :-}

    Why such resistance Srap?
  • creativesoul
    12k
    Gettier wrote:

    Imagine that Smith realizes the entailment of each of these propositions he has constructed by (0, and proceeds to accept (g), (h), and (i) on the basis of (f)

    Here's the thing...

    What Gettier claims that Smith does requires precisely what I've just set out.
  • Srap Tasmaner
    5k

    Yes, we know. I've said as much. It's right there in the text. So what?
  • creativesoul
    12k
    Smith's belief that: ((p v q) is true because (p) is true) is inferred from his belief that: ((p) is true), ((p v q) follows from p), ((p v q) is true if either (p) or (q) is true), and ((q) is not true).
  • creativesoul
    12k
    How else does one arrive at belief that: ((p v q) is true)?
  • creativesoul
    12k
    Which part of that isn't necessary?
  • Srap Tasmaner
    5k
    ((q) is not true)creativesoul

    That is not a belief of Smith.
  • creativesoul
    12k
    belief that: ((p v q) is true)
  • creativesoul
    12k
    How else does one arrive at belief that: ((p v q) is true)?
  • creativesoul
    12k
    Which part of that isn't necessary?
  • creativesoul
    12k
    Smith's belief that: ((p v q) is true because (p) is true) is inferred from his belief that: ((p) is true), ((p v q) follows from p), ((p v q) is true if either (p) or (q) is true), and ((q) is not true).
  • Srap Tasmaner
    5k

    These are not equivalent:
    (1) Smith does not believe that Brown is in Barcelona.
    (2) Smith believes that Brown is not in Barcelona.
  • creativesoul
    12k
    Those are not relevant.
  • creativesoul
    12k
    ((q) is not true)
  • Srap Tasmaner
    5k

    If you choose to submit your solution for publication, the natural choice would be Analysis.
  • creativesoul
    12k
    What do you think about 'em?
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