@nerdfiles,
Oh wait, now I see... My post
is gone! Hah.
---------- Post added at 11:04 PM ---------- Previous post was at 10:42 PM ----------
Well, to tell you the truth... I sort of feel like we've hit the nail on the head, but perhaps in a round-about way. Ultimately, I'm simply
pleased with this thread. I realized from the start that it would be a wild one.
nerdfiles wrote:I'm sure "thinkability" can make us consider a plethora of things, belief-driven or not. I'm not quite following how "thinkability" correlates with analyzing whether or not contradictions can be believed.
In many cases epistemologists talk about the
rationality or
reasonableness of belief. I think these are just flowery ways of speaking about whether some proposition is thinkable.
Using our schema, S knows that P only if S believes that P; S believes that P only if P is a thinkable proposition.
Thinkability is essentially
that which could be entertained in thought. Perhaps another way to put it is
that which is passes our logical test. If something does not pass a logical test, in that it is an illogical thing, then we cannot
think it. For to think it would require that our thought be illogical; but how can we legitimately arrive at an illogical outcome
through illogical thinking? Surely our thinking must be logical so that we can deduce
that it is illogical, that particular object of thought. The object itself, however, has contours. We can say, "Yes, that is illogical, and here's the proof" but it is not something that can be
entertained in thought as it is.
Perhaps another way to put it is that thinkability and
conceivability amount to the same thing. So, for instance, conceive, if you can, that the your neighbor is to be wed to the number 4; or that the concept of time turns into a bowl of ice cream. These are outright abuses of categories. Category mistakes cannot be
thought; but they can be pointed to (justificatory pointing), pointing in such a way as if to say, "You cannot enter! Forbidden!"
Quote:I don't even know how to begin to answer that question.
We certainly know that analytic propositions (Bachelors are unmarried males) and synthetic (The cat is displeased) propositions
can be thought. A priori (All bachelors are unmarried) and a posteriori (Four cats are on my house) objects can be known. We can claim to know contingent (I am typing right now) and necessary truths (Cats are mammals).
Quote:Can you try to flesh out exactly what our next step should be? Actually, can you note exactly what we're even seeking? It seems we've been going post to post, discovering new insights with no proposed goal in mind (at least for a good chunk of the time), instead of going problem to post. What is our target? Are we capable of even achieving this target; have we reached our limits at this time?
Well, I've laid two necessary conditions, though they may not be sufficient. And some of you have addressed their necessity.
1. Thinkability as a necessary condition.
2. Normative constraints on belief formation.
1a. So, S believes that P only if P is thinkable.
2a. S believes that P only if S acquired the belief in an appropriate or reasonable way.
This leaves us to question "appropriate" and "reasonable." We could address these more, add to them, deny them, etc. Or we could just call this thread done, if you wish.
---------- Post added at 11:13 PM ---------- Previous post was at 10:42 PM ----------
Right. I believe I indicated this in the beginning but perhaps with not enough emphasis.
"Necessary and sufficient conditions" are about
rigorous definition. I wouldn't be surprised if some epistemologist said at the outset. "You cannot do that with belief!"
Though notice that my two suggestions as necessary conditions
are normative. They're
not rigorous definitions. "Thinkability" has a logical underpinning, but that's it. Logic alone does not determine what is thinkable. And even then, "Don't believe contradictions!" is a normative claim. What I have tried to provide is argument for
why contradictions, and things like them,
cannot be entertained in thought.
The necessary condition about belief formation clearly is not rigorous. I was quite explicit and systematic in stating that this condition is
normative.
So really, we're using the "necessary and sufficient condition" schema for purposes of
layout. The conditions I've presented are not really
conditions that appeal to obvious identification.
Though the definition of knowledge-that does employ conditions in this
identifiable way. If someone believes it, she'll likely utter it or give an indication of her believing it. And we only care about
that much. Justification is clearly an appeal to a
standard for justifying which is authoritative and public in some sense. And truth is clearly public, though its objectivity can be questioned for any proposition. Nevertheless, it's
clear or at least
clearer when the
conditions for knowledge are met.
It is not, and perhaps should not, be
just as clear when the "conditions" for belief are.