Journal Entry: 9-23-2011
Our beliefs are constantly in a state of conflict, are often without justification and frequently are ill-merited or derived.
Our desire shapes belief in devastating ways. Who hasn’t accepted claims blindly just because they wish them to be true? Once accepted, these belief become embedded into our greater system of belief and shape the way we view the world and process other beliefs.
For beliefs that do not serve our purposes, we accept them blindly insofar as they cohere with our other beliefs. But we’re not able to call upon all our beliefs simultaneously to test if the belief actually coheres. So when we test a new proposition for coherence, we only test it in the context of a few beliefs brought forward for consideration.
Consequently, we form beliefs in contradiction to each other.
For example:
Given propositions A, ~A, P and Q, where A is justified by P, P and Q justify each other (by mere coherence) and Q and ~A justify each other, we accept A within consideration of P and Q, and we accept ~A within consideration of Q and P. We therefore, unknown to us, have accepted A and ~A into our structure of beliefs, and act upon those beliefs. We act as if A and ~A are true simultaneously, for as long as A and ~A are not considered simultaneously. If we ever were confronted with a situation in which we realize that we are holding A and ~A simultaneously, we would of course resolve the contradiction by eliminating one of the propositions. But as long as we don’t realize it, we operate upon a contradiction
Haven’t we all come to a point where we say something, and then sheepishly admit “oh yeah, I guess that is in contradiction with <x other thing I said>”? And that’s only when we realize that we’re in contradiction, there are other times, I’m sure, where we don’t realize it.
So the above example, using letters and logical relationships, was very simplified and perhaps unlikely. However, the problem becomes worse as the beliefs become further removed in logical relationships from each other, or the logical relationships become more complicated, and enthymematic, and the likelihood of the problem occurring becomes higher.
Consider the following propositions:
P= The foreign nation of Olympia has an annual expenditure of USD $1 billion.
A= Olympia spends USD $500 million annually on various agricultural subsidies.
B= Olympia spends USD $500 million annually on national defense.
C= Olympia spends USD $500million annually on welfare and medical programs.
Now let’s introduce these to a test subject (let’s call him John) sequentially. Upon being presented with proposition P, John accepts P into his belief system unquestionably. After all, why shouldn’t he believe his roommate who, while surfing the internet, says to him, “hey John, didja know that Olympia spends $1 billion annually?” It doesn’t contradict with any of his beliefs, or at least none that he can recall at the moment, and so he accepts it blindly. It isn’t at the forefront of his mind, but if someone questions him on it, or somehow jogs his memory, he can bring that belief up.
In various random fashions, John hears A, B and C at various points in time (in that order). Accepting propositions A and B would be logically consistent, but then accepting C would not be (as it would conflict with proposition P considered in context of A and B). It is unlikely, however, that John will be considering all four propositions in the context of each other, especially if his hearing the various propositions comes over the course of several weeks, maybe even a couple months.
John, upon hearing A, may accept it on its own, without considering it in context of P. If questioned, he can still recall P, and maybe at times the thought comes up while he’s considering something,, but it doesn’t strike him on consideration of proposition A. Similarly with B, only nowits further unlikely that he will consider it in context of P and A simultaneously.
And now when C comes along, he may test for coherence with P or he may not. If he fails to check all three other propositions for coherence, he may conclude that C actually does cohere with his beliefs. He thus accepts the contradiction into his belief system.
To notate, we start with a pure contingency that is a logically necessary statement that:
(A · B · C) -> ~P
Which we would say is “If A and B and C are all true, then P is not true,” a logical necessity given that “If A and B and C are all true, then Olypmia spends $1.5billion USD” and “The proposition ‘Olympia spends $1.5billion USD’ is mutually exclusive to ‘Olympia spends $1billion USD’”
So, John would recognize the obviousness of the statement if confronted. Let’s now construct our syllogism.
1. (A · B · C) -> ~P
2. P
3. A
4. B
5. C
6. A · B · C (3, 4, 5 CONJ)
7. ~P (1, 6 MP)
.:. P · ~P (2, 7 CONJ)
Which is a contradiction.
Yet, John acts upon believing this contradiction until it is brought to his attention. He may justify a certain action on the basis of P (“look how fiscally responsible they are, they spend $500 million less than this other country, I’ll vote for that candidate promising those foreign policy plans towards Olympia!”) or A (“I like agricultural subsidies, so I’ll vote for this referendum granting money to Olympia”), etc, etc. (the complications that arise may be compounded if, say, John is in a position of responsibility that involves considering foreign policy positions towards various countries).
This scenario is still a relatively basic construction. In other scenarios, the repercussions may be amplified throughout a host of propositions and a mess of complicated logical relationships, causing the contradiction to become even more difficult to flesh out.
We may criticize John for being so reckless with his beliefs as to accept propositions blindly, but even for the most rigid and thoroughly logical of us, there are just some points in which we have to accept beliefs relatively untested into our belief system so as to avoid being overly scrupulous or skeptical. We MUST operate on some principle of coherence in order to be able to function normally, and we can’t bring forward our entire belief system simultaneously to check for coherence. This is the modus operandi for humans, we walk around with our beliefs in a state of chaos, acting upon them and persisting in inconsistency and error.
Themes: Coherentism, Justification.
Influences: Keith Lehrer
Responses To: Foundationalists