Wednesday, November 04, 2009

Responses 007 (2010-2011)

This particular question got to me. On the surface, it seems reasonable: "How can we recognise when we have made progress in the search for knowledge? Consider two contrasting areas of knowledge." Closer inspection shows that it is one of those minefields that is dangerous because of the underlying, real, question.

What is the real question here? I'd say that it's, "How do we know when we know more than we used to know?" And since the problems begin with the definition of 'know', you're in triple jeopardy when answering this question — especially if the 'know' in each case is a different 'know'.

The second and less important issue is, "What constitutes two contrasting areas of knowledge?" To put this into perspective, if I asked you what the main difference was between a red sphere and a green cube, what would you say? And if I asked in what ways they contrasted, would you be able to convince me that they did? What if I said that my criteria were a) is the object coloured (i.e. not uniformly wavelength-distributed as in black, grey or white) and b) is the object a regular geometric solid (i.e. with rotational symmetry on the x, y and z axes)? If those were my criteria, they aren't contrasting objects at all.

Let's take the simplest approach first, though. I'll illustrate with an example, which you really shouldn't adopt without due consideration of the problems it entails.

Assume that there are two kinds of progress in the search for knowledge (however defined) — quantitative and qualitative. 'Quantitative' here means 'more facts' and 'qualitative' here means 'facts approached differently'. Assume also that we are going to say something like 'science and the arts are contrasting areas of knowledge'. Note that this is what I call the naïve approach — it's simple and you can decide (at your own risk) to ignore complications.

Then we have four cases to present, analyse, exemplify, explicate, summarise, and draw a conclusion from. These would be:
  1. quantitative progress in science
  2. qualitative progress in science
  3. quantitative progress in the arts
  4. qualitative progress in the arts
How would we know if we'd managed any (or all) of these four kinds of progress?

Again, to simplify:
  1. do we have more data? did we convert that data into information? is that information like what we had before, but more so, or does it affect our consideration of previous information? if yes, then progress achieved.
  2. do we have more data? did we convert that data into information? is that information of a different category from previous information? if yes, then progress achieved.
  3. have we done more of the same kinds of art that we've been doing? do we have more data about how people respond to this? did we convert all this into information? does it affect our consideration of previous information? if yes, then progress achieved.
  4. have we done a different kind of art? if so, then progress achieved.
Now all you have to do is illustrate with real-life examples, do your explication, summarise, and go on to your conclusion.

But it's obviously not that easy. How do your different ways of knowing relate to these areas of knowledge? How do you define 'data' and 'information'? Is this a valid way to consider 'progress'? And are science and the arts truly contrasting — and if so, in what way? (Some help in thinking about contrasts can be obtained from this post and its predecessors.) And what about the big picture of 'the search for knowledge' and not just bits and pieces of knowledge?

For that last bit, I'd say that you would have to analyse paradigms. At what point do we recognize that a seismic shift (in the underpinnings of an area of knowledge) has occurred? How is this process or event of recognition different in two very unalike areas of knowledge? This is the advanced version of the simple line of reasoning I employed earlier.

Enjoy yourself. But keeping it under 1600 words is not easy.

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