The Epistemology of Performance How do we know if an interpretation is correct? We don't. Then when we say that the predictability of a performance is dependent on the knowledge and skill of the performer, we cannot be making any qualitative judgement. This implies that the quality of interpretation does not depend on the knowledge and skill of the performer! Theories of Knowledge Deduction (Mathematical) Induction (Scientific) Philosophical These are the most common concepts of knowledge. In brief, it has been proposed that, in general, people place these concepts in an order of reliability. Most people would place more reliability with either mathematical deduction or scientific induction than with philosophical speculation, while most would feel that deduction is more reliable than induction, if only because in some respects in can be said that mathematics is a pure, abstract area whereas science is principally practical - it is concerned with making things work and making predictions rather than purely with explanations as to how things work - indeed, one of the main defences of inductive thought is that it has proved successful in practice and that this, therefore helps to prove its usefulness in theory. Again, philosophical problems tend to be, by their very nature, matters of speculation and conjecture rather then absolutes and so are inherently unreliable from an absolute point of view. As a number of commentators have pointed out, however, there are a number of problems with this. This whole area is a difficult one and one fraught with differing views and so for a more complete picture, readers are encouraged to consult the diverse ideas from all these areas. In brief, however, there would appear to be a tendency from all parties working in these areas to propose 'solutions' which are favourable to their own area. So, for instance, there is a tendency for mathematicians to suggest that the justification for deduction lies in history, tradition, intuition, Plato and even the very structure of nature and therefore of our brains, which are physical manifestations of numeric principals: Nature is number... Similarly, scientists may take what could be seen as a rather lenient view of induction. The main problem here is the relationship between observation and prediction. So, if we perform a given action and constantly see a given result, we may be tempted to predict that this tells us something secure about the given situation. Most scientists would recognise, however, that there is no proof of this, merely that we are making assumptions about it, but may defend the practice by suggesting that the more observations are made that conform to our predictions, the more secure our reasoning is, and that, ultimately, if it works then there's no need to fix it. Philosophers, particularly those who do not deal with either deduction or induction would commonly... It may be that during the last century, when many areas of mathematical, scientific and philosophical speculation have become increasingly inter-related, most obviously due to the enormous impact of such ideas and innovations as the computer and theories of computation, Godel's theorem, the theory of relativity and quantum theory and many aspects of modern 'post-classical' physics. This has led an increasing number of people in such areas to become involved in these rather broader and more basic ones, such as the theory of knowledge itself. Some have done so because it interests them, others because they are in the process of developing ideas and theories which cannot but take into account these very basic issues. It has been pointed out that none of the three methods of thought given above, it they can all be called methods, are really any more justifiably reliable than any other, and it has also been pointed out that the very speculation that suggests that one may be more reliable than another, is itself a principally philosophical speculation that by its own specification suggests that it is highly unreliable. A solution to this has been proposed by Karl Popper... who points out that one of the stumbling blocks of many of these ideas, and certainly the first two, is the search for proof, or for certainty. If we can find no certain proof of anything, then arguments or ideas will inevitably appear weak when scrutinised from an unsympathetic view-point. So, if we argue that is must be the case that when we drop a heavy object it will fall towards the ground, someone need only ask, 'why?', or 'who says?' and 'why should I believe him', or 'I did the same thing yesterday and it didn't happen - prove me wrong', and the argument becomes impossible - we are trying to prove that one form of personal experience is more valid than another. Performance How do we judge what is good or bad in performance, or, for that matter, in any principally aesthetic matter? Obviously there are many differences between different people, according to their own criteria, but with aesthetic matters, why should we accept certain criteria over any others? Presumably, we would normally accept, at least to begin with, that someone who has a record of success or at least reasonable judgement about a particular activity should be granted a certain amount of credit - we should at least trust them to a point. But to what point? How far should we trust those whom we are told, or who we feel are in authority? And what about the other way around? If we are told that we are able to judge qualitatively other work - to what extent should we simply accept our own criteria? Perhaps we are wrong, at least in our immediate reaction - perhaps we are missing something quite significant due to our own preconceptions.