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Recently, I've been attracted as well as confused by the possible contradiction between belief and understanding. Do we believe before understand? Or the converse?
For me, to say that we believe something without understanding is somehow illogical, if not totally ridiculous. But, whenever I reflected upon my previous education, it appeared to me that I was taught by my teacher that 1+1=2 without really understanding it. It was my teacher who gave me a firm belief, if not a dogma that 1+1 never equals 3; and only on this base could I approach to more complex arithmetics. I resent people talking to me with ignorance like this: well~ it is just intuitively right that 1+1=2, and then puts his two fingers together showing me how that works. My maxim is that, if you believe it, then prove it to me with reason. Your argument is allowed to be imperfect, but there is zero-tolerance for irresponsible reductionism.
Many people may ridicule me for bringing forth such a worthless doubt upon what has been steadfastly believed by mankind for centuries; but, please, I beseech you learned people to shed some light upon me regarding this topic.
Your intellectual input will be highly respected and appreciated.
The ordering of words are dependent upon physical fact, not the reason that one can lay them out horizontally.
This question that you are baffled by has been one of the most prurient topics discussed in Philosophy and has been confronted and tackled by some of the most notorious Intellectuals throughout History. There are many different Philosophical theories of which could offer enlightenment to your predicament, all of which has its strengths and weaknesses. I believe though that One should really clarify what we are trying to answer. To some, Belief and Understanding are synonymous with one another, both requiring experience for both to be pertinent. If I were to attempt to clarify with more precision by assigning these terms to another designation, it may help both board readers and yourself to become acquainted with a suitable philosophical suffice. If I denoted Belief to Notion, and left Understanding resolute, it maybe easy for the question to be more intelligible and comprehensible. I proposed this change as both Belief and Understanding requires clarification, whilst other phenomenons of which are debated within Philosophy are present without such a perception.
If one takes a belief within the Philosophical concept of Rationalism, One would come to the belief that knowledge precedes Experience to a large degree. For the ability to understand, It would seem to most that the requirement is experience of the Objective World firstly, but the views held by rationalists differ. Rationalism is the philosophical view that regards reason as the chief source and test of knowledge which asserts that reality itself has an inherently logical structure, and a class of truths exists that the intellect can grasp directly. There are, according to the Rationalist concept, certain rational principles-especially in logic, Mathematics and even in ethics and Metaphysics-that are so fundamental that to deny them is to fall into contradiction. This being so, if One were to take a Rationalist approach to the issue it would seem that within the Options of Notion or Understanding being the priori, the former would be the answer.
If One asserted to comply with the Empiricist approach to the issue, they would be agreeable to a totally opposite approach to the notion held by rationalists. In an Empiricist theory, knowledge is a posteriori to Experience of which requires a verification like any other Science. Empiricists argue that the statement "2=2=4" is only a truth after verification and thus is not a priori notion in itself. As long as the statement can be perceived and verified by deductible truths, it will be accepted. One example in particular was John Stuart Mill, who asserted that all knowledge comes to us from observation through the senses. This applied not only to matters of fact, but also to "relations of ideas" in themselves, as Hume called them: the structures of logic which organize, interpret and abstract observations. The logical theory which seems to be somewhat intuitive, is only indubitable after observation.
The next argument one could be lead to after perplexing over the Mind's tangibility of Mathematics, is to whether Mathematics exists independently of the human mind as that of which is asserted by realism, or whether it is a part of the Mind's rationalism (whether posteriori or priori of experience) as held by Logicism.
There is no palpable answer to the question, but many propositions exist. I personally am inclined to the theory that the Mind has the ability to form many concrete manifestations of rational truth of which experience is required for verification. I also am swayed to the believe that for which we are presented to and become acquainted with; is potentially minimal. And our limited physical apparatus which subjects the Body to stimuli to form Understanding and sculpt the logical axioms has the capacity and faculty to form other concrete concepts of a different denomination. If alternative realities existed which incorporated different forms of laws and stimuli, would the Mind have the ability to perceive and conceive and thus form completely contrary logical constituents? I am inclined to agree. I believe the mind has the potential to receive many alternative forms of objective stimuli to construe logic and understanding-but we are currently only able to compile a particular amount of sensual stimuli to subsequently form ideas of which maybe only partial to the completeness of reality
Hi,
I would break it down as such:
1) The teacher is teaching a new habit: 1+1=2. Habits are necessary to get along in the culture one lives in.
2) The understanding comes the first time you put the habit to practical use: e.g. when your parents ask you how much is 1+1 and you answer 2.
3) The reward to continue learning this habit (for some anyway) is the big smile you get from your parents, and maybe a new game or something.
4) The belief is that if you keep learning the habits that they teacher is teaching you then you will get more rewards from your parents. Sometimes it works and sometimes not.
5) The belief is shattered the first time you learn the teacher is teaching habits that can be challenged! Now, what should one do with the darn habit?
Rich
I see your point, but it depends on what one means by understanding. Does it require understanding to believe that one has hands? Only if understanding is defined as the most basic grasp of concept. And this is fine, of course. But it all leads back to the careful definition of otherwise quite vague terms.
And it's also fair to question the value of the question.
Regards
S.
No offense intended, but do you really think it's as simple as that?
"Understanding" is an abstraction. If you really want to discuss this point, indulge me. Define it.
It's harder than you think, for the words you use to define it are defined by other words. It's a chain of signifiers, and no abstraction has an exact meaning but must be interpreted in relation to its context.
I promise you I am not trying to be anti-social, obtuse, or difficult. I'm being completely sincere in this emphasis upon careful definition of terms.
It goes back at least to Socrates.
Regards,
S
Understanding can be described as a specialized skill. It can also be described in other ways. But if I grant your point, I must follow with the reminder that this is a philosophy forum, and I strongly associate understanding with philosophy.
Terms like reason, intuition, and understanding have played key roles in epistemology.
I still think in regards to this thread's basic question, a definition of "understanding" is crucial. We are looking at the relationship between two abstractions.
But if the question is meant in a light way, one that invites wit rather than a more serious analysis, you are right. No careful definition is required.
Well, the context I originally had in mind is precisely the title of this thread. And I agree that context is of vital importance. But is the game worth the candle at this point? Do we really care whether belief or understanding came first, and do we really trust our ability to know the answer?
I think rhetoric (persuasion) is the work-horse of philosophy. We live and die in a certain amount of ignorance, incapable (in my opinion) of certain knowledge. Just so you know where I'm coming from.
I think our dialectic is good. Happy thanksgiving!