Willamena said:
I have given this more thought.
First off, perhaps it is my inability to broaden my mind enough to see concepts outside of my own philosophy, but I don't see induction as moving from a more specific thing to a more vague thing; just the opposite, in fact. The focus on one particular characteristic or trait to the exclusion of the details of the whole is more precision, and, as you say, that is what allows for an equation to be made. But that's irrelevant to truth, too... That the more detailed, unique "collection of phenomena" still exists apart from the particular characteristics we are evaluating is, as I said, not really relevant, because the equation is evaluated as true or false for the charactertisic or trait, not for the unique thing (for "adult sheep", not for "this sheep").
The "sets of phenomena" we do evaluate are equatable.
I've pondered on your concept of "relative truth", and although I can see the relativity inherent in the act of equation itself, I cannot see where the truth is effected by that relativity at all, as we are not evaluating the "specific set of phenomena" relative to the "sets of vague phenomena," but two sets of latter to each other. The truth exists apart from that, apart from the act of equation: the truth is the positive result of the evaluation of these two sets.
I'm as puzzled as you are.
I don't see how you can claim that relativism is "irrelevant to truth". Isn't the truth, 'what is'? If 'what is' cannot be equated absolutely, then it cannot be an absolute truth that one or more of any part of 'what is' equates to one or more of any other part of 'what is'.
Imagine that the entire universe is made up of dots in space. And each of these dots is in turn made up of smaller dots in smaller spaces. Our view of the universe is limited so that we can't see if there are "biggest dots", or "smallest dots", so the universe looks like an infinite progression of macro and micro dots, but in truth we have no idea if it is or not. All of these dots are inter-related in a huge network of cause and effect, each dot effecting others, but some of those effects matter to us a lot while other effects don't matter to us so much, so we tend to identify groups of dots as "good environments" and "bad environments". And we often compare these groupings of dots (that we have identified and defined as "environments") to each other.
Question: Can these groups of dots ever be equal?
Answer: Given the apparently infinite complexity of ANY identified grouping of dots, it will not be possible for us to conclude with certainty that any dot really equals any other dot, or that any group of dots equals any other group of dots. However, if we are equating these dot environments according to their value
to us, rather than their actual similarity to each other, then it is possible for two different groups, though dissimilar to each other, to be of equal value to us.
So is the answer to the question 'yes' or 'no'? Well, the answer is that
it depends. It depends upon whether or not we're equating the grouped dot's value to us or their actual content to each other.
And this is why the process of equating, and the various mathematical formulations of that process, are
relative, and not absolute. They are viable relative to our intent. Equal only exists as an idea, and it only applies to reality when and how we say it does, and then only by the exclusion of facts to the contrary.