Thoughts on Knowledge

I’ve been thinking a lot about knowledge as justified true belief, the Gettier problems, and the various proposals to resolve them.

I have some dissonance with all of ‘justified,’ ‘true,’ and ‘belief.’

Justified

There are two parts to my struggle with this as a component of knowledge:

  • The first is that someone may believe something true with invalid justification; they may be able to exercise that truth in a manner that establishes justification.
  • The second is perhaps a little more peculiar, and I’m unsure of its validity. As I understand Gödel’s Incompleteness Theorem, you can have true statements you cannot arrive at (axiomatically) or justify.

Belief

‘Belief’ seems to imply a thinking agent. This excludes inanimate sources as containing knowledge, which seems a peculiar constraint.

True

In abstract or constructed circumstances, like mathematics, you can talk about a statement being true. However, outside of that, the truth is almost never known with certainty; this is Descartes’s evil demon argument.

My Conception of Knowledge

When thinking about knowledge, I lean more toward Isaac Asimov’s Relativity of Wrong. Here is how I conceive knowledge:

  1. How demonstrably close is the claim to the truth to be effective?
  2. What are the error bars on your claim?

While this leans utilitarian, that is what gives knowledge its value.

This information (claim and corresponding supporting information) can be stored in static resources and is independent of belief.

The degree of knowledge can be described in terms of these parameters, these epsilons of accuracy and precision.

In short, you can measure knowledge by its truth-ε-ness.

“Use Your Own Words”

I didn’t expect how much this hurt.

You can take some text and apply some function to it, say “summarize” or “paraphrase” and you have an idea of what to do.

What do you do when you are asked to take some text and “express it in your own words”? I don’t know what this means. Let me turn it around to give you an example. Let’s say given some text A I come up with text B that is “in my own words”. How do you test that? How different does B have to be from A? How similar do they have to be to ensure B reflects A in some way? If you assign this task to multiple people, you not only expect different results, you *want* different results as if it is unheard of to have people apply the same poorly defined “in your own words” function to text A.

As to the hurt? I have a rather intense case of imposter syndrome. I didn’t grow up in an environment that was particularly interested in what I had to say. Everyone else was far more interested in talking about what was on their minds than being interested in what I had to contribute. So I learned to shut up. I don’t have my own words.

Extra Notes:

The procedure I’m approaching when I encounter this now is to review the material, close it so I’m not referring to it, then write my thoughts on it. Then compare to determine if I’m missing relevant details.

However, it still feels like there is a fundamental issue when you think about making information concise but unique; the concise configurations one can have of words about a topic that conveys information minimizes words increasing the likelihood of non-uniqueness amongst others going through the same operation.

Philosophical Wankery: A Theodicy Solution

A friend pointed out I hadn’t posted in a while. This was something I spun up the other day for fun.

This solution is a substantial departure from existing attempts that I’m aware of.

For a good summary of the theodicy problem, you can go to The Philosophy Dungeon. The basic dilemma is if you are all-powerful, all-knowing, and all-good, how can there be evil?

Inspiration and ideas for this solution come from Kurt Gödel’s Incompleteness Theorem (Incompleteness Theorems on Wikipedia) and from Claude Shannon’s Information Theory (Information Theory on Wikipedia). I’m sure they would not be impressed by having any similarities drawn.

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Super Naturalism

I sometimes get stuck on words. Ever use a word over and over and then someone asks you to define what it means and you discover that maybe you weren’t so clear on the meaning of the word to begin with? (This has become painfully more frequent with children.)

The one I’m thinking of at present is ‘supernatural’.

The definition I see is ‘attributed to some force beyond scientific understanding or the laws of nature’.

Well science is the rigorous study of nature.

But what is ‘nature’? How do you know what is ‘natural’ or ‘supernatural’? Should that depend on what we know from science so far or is there a more rigorous way to define these terms so we could easily say one thing is natural and another supernatural?

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