|
Post by acmemyst on Jul 12, 2012 18:27:53 GMT
I'll be damned.
Working somewhat more precisely from that definition we've been quoting, here's what I get.
"... Thus, this form implies “if not P, then Q” – and “if P, not-then Q”, though possibly (in some cases) also “if P, then not Q”. "
Let P=Fleet, Q=not Charge. We find, under Onslaught,
if not Fleet, then not Charge, and, (if fleet, not-then not charge, or, if fleet, then not not charge).
1. (~F -> ~C) ^ (~(F -> ~C) v (F -> ~~C)) (Translation/assumption) 2. F (Assumption) 3. (~F -> ~C) ^ (~(~F v ~C) v (F -> ~~C)) (Rewrite implication) 4. (~F -> ~C) ^ ((~~F ^ ~~C) v (F -> ~~C)) (DeMorgan) 5. (~F -> ~C) ^ ((F ^ C) v (F -> C)) (double negations) 6. (F ^ C) v (F -> C) (Disconnect conjuncts) 7. C (2, 6)
Well, (please do not swear). Coredump, do you have any idea what I'm doing wrong here?
|
|
|
Post by coredump on Jul 12, 2012 18:59:53 GMT
coredump: Why, your exegesis, premises, and conclusion are wrong. And that's why we're having this discussion. So, your job should be easy then: Is the following true or false? Under the effects of Onslaught: Not Charge unless Fleet. If false,why? If true, then is the following true or false? 'Not Charge unless Fleet' does mean that 'you can't charge, if you don't have fleet'...right? Not Charge if Not Fleet If false, why? If true then is the following true or false? If Not Fleet, then Not Charge If false, why?
|
|
|
Post by nurglitch on Jul 12, 2012 19:04:38 GMT
Do I also have to use haiku?
|
|
|
Post by coredump on Jul 12, 2012 19:10:05 GMT
A unit under the effect of onslaught may not assault unless it also has the fleet ability.
A car under with no engine may not go 200mph unless it also has tires.
If fleet lets you always assault, then tires let you always go 200mph. Why or why not?
|
|
|
Post by nurglitch on Jul 12, 2012 19:32:17 GMT
Fleet alone doesn't allow units to assault. That's 5th edition.
|
|
|
Post by coredump on Jul 12, 2012 20:04:44 GMT
So, following the expert, Avi Sion, there are three possible interpretations of "may not...unless" in the Onslaught sentence: That is not what he said. He gave two equivalent expressions, that *always* apply, and then gave a third that could possibly apply in some situations. So, lets look at this: Obviously P=Fleet, and Q= NoCharge So the first form he gives is: "if not P, then Q" If not Fleet, then NoCharge. Further: "if P, not-then Q" If Fleet, not-then NoCharge (thus stating that if there is fleet, we are told nothing about NoCharge. this is very different than saying 'Then not NoCharge') Important to note: These two are equivalent arguments, if one is true, they are both true. They are not two 'options' These two statements are *exactly* what I have been saying since the beginning, and even the 'famous Avi Sion' apparently agrees.) The third form will "possibly" apply in "some cases", but that will depend on if the causation is complete or partial. Thus we can't just assume the third form applies. As he puts it (from above) "it does not really tell us whether in the presence of P, Q is necessarily or just possibly absent." Only if it is "necessarily absent" does the third form apply. So, from Avi, we have If not Fleet, then NoCharge Sounds good to me.... It isn't my 'favorite', it is an equivalent statement, as verified by Avi. Further. he never states 1 or 3 as possibilities nor equivalencies. Not sure where they came from.
|
|
|
Post by coredump on Jul 12, 2012 20:10:26 GMT
Do I also have to use haiku? The fact that you are completely unwilling and unable to answer the questions says as much as your need for a flippant answer to hide your inability. You talk a bit game about 'trying to find an answer' yet go to extremes to avoid questions that show how you are wrong. Convenient. Again, instead of answering a question, you run and hide from it. Try this one.. If fleet and Onslaught lets you always assault, then tires and no engine let you always go 200mph. Why or why not?
|
|
|
Post by coredump on Jul 12, 2012 20:22:30 GMT
if not Fleet, then not Charge, and, (if fleet, not-then not charge, or, if fleet, then not not charge). Well, (please do not swear). Coredump, do you have any idea what I'm doing wrong here? There is the problem "not-then NoCharge" is not equivalent to "then not NoCharge" The first is saying: you can't say "then no charge" the second is saying: "then Charge"
|
|
|
Post by acmemyst on Jul 12, 2012 20:34:46 GMT
Yes, I realize this.. Which is why I translated "not-then NoCharge" into ~(F -> ~C)
I also translated the second, optional, part into OR (F -> ~~C)
Which gives the full translation I've used above..
|
|
|
Post by carnogaunt on Jul 12, 2012 21:07:47 GMT
This logic stuff is interesting, although I can't say I understand a lot of it (I start a class in August).
But I think it's a lot of over-thought. Here is what we know about Onslaught:
It allows a unit to Run AND Shoot. It forbids a unit to Charge, except when it has Fleet.
But the key is, it does not specifically allow the combination of Run AND Charge.
If you cast Onslaught on a unit of Termagants, your options are: do nothing Run Shoot Run AND Shoot
If you cast Onsalught on a unit of Genestealers, your options are: do nothing Run Shoot Run AND Shoot Shoot AND Charge Charge
|
|
|
Post by acmemyst on Jul 12, 2012 21:37:59 GMT
But the key is, it does not specifically allow the combination of Run AND Charge. Well, this sort of seems to be the entire point of contention. In particular, for cases where the unit under question also has Fleet. I am currently under the impression that, due to the exact wording of the rule, it does allow you to Run and Charge, if (and only if) the unit also has Fleet. I'll have to wait for a more comprehensive reply from someone to my earlier translation, but I really do think it captures the whole of the definition of "unless" we've been using. Having said that, it might be somewhat difficult to convince an opponent that this is correct, given that it does take a fair bit of symbol juggling to reach that conclusion.
|
|
|
Post by nurglitch on Jul 12, 2012 21:42:38 GMT
Which is why I'm planning on playing Onslaught as if it does not permit Fleet units under its effect to run and then charge: Whatever the rules say, if it isn't clear to people on forums, what chance do we have convincing anyone during a game?
|
|
|
Post by coredump on Jul 13, 2012 0:42:33 GMT
Yes, I realize this.. Which is why I translated "not-then NoCharge" into ~(F -> ~C) But that isn't valid either. We don't know what F leads to, therefore we don't know what it doesn't lead to (If F, then NoC) *may* be true, so you can't say Not(If F, then NoC) As for the second/optional part. It is not optional. It is possible depending on other factors, which we cannot verify within this argument. I am also not sure why you are bothering with all the extraneous parts. As Avi states: Unless P,Q means the same as If not P, then Q it also means If P, not-then Q And it may possibly also mean "in some cases" If P, then not Q That is because (if not P, then Q) implies (If P, not-then Q) (Unless P, Q) has the exact same Truth Table as (If not P, then Q). You don't need anything else in the argument.
|
|
|
Post by coredump on Jul 13, 2012 0:44:22 GMT
Whatever the rules say, if it isn't clear to people on forums, what chance do we have convincing anyone during a game? About the same chance we have of you actually responding to any of the direct questions I have asked you.
|
|
|
Post by acmemyst on Jul 13, 2012 1:19:09 GMT
Hmm, I think you might actually be correct. The reason I included the apparently extraneous parts was because I wanted to render the explication from that resource explicit. However, I think you are right that ~(F -> ~C) was not a correct translation of "if F not-then not C", for the reasons you mentioned. Incidentally, I now have no idea how it should be translated to a formal form (or indeed, if such a translation would exist). For the record, I have no idea who this Avi Sion guy is; like I said, quick Google search. At the risk of introducing yet more strange resources, here's some lecture slides that back up your translation: www.rci.rutgers.edu/~amorgo/teaching/09s_201/files/lecture_07.pdfSo, going with that, the correct, full, translation would appear to be what we stated earlier, i.e., O -> (~F -> ~C) and thus, that the rule indeed does not specify whether you can charge if you do have Fleet. My apologies for complicating this argument even further.
|
|