The principle of inductive reasoning is linguistic, as are each and every "test of truth"...
— creativesoul
How is that not a logical fiction? — Mww
Because it's true, that's how. Fictions aren't true.
If you think principles are linguistic...
how do you do arithmetic in your head? — Mww
Solely by virtue of knowing the rules of the language. Before that, it cannot be done 'in one's head'.
How can logical absolutes be possible? Just because we don’t consciously invoke a principle in order to arrive at a logical, consistent truth, we aren’t using one? It only becomes a principle after having been written down? We don’t operate by deducing our primary principles then see if our observations conform to them, which is blatantly circular and potentially self-contradictory; we reason from observation, then deduce the principles under which our reasoning should conform in order to be trusted as observation demands. — Mww
There's a saying about forests and trees...
All of the things you're talking about here are metacognitive. Metacognition is existentially dependent upon fairly complex written language replete with naming practices that begin taking account of that which existed in it's entirety prior to our account of it. Thought/belief is one such thing, amongst many others as well. Those are the things that we can get wrong on and/or at a basic elementary level. Seeing how our thought life grows in complexity over time with sufficient effort, if we take account of the basic stuff wrongly there's no hope of getting the more complex stuff right.
The notion that all belief is propositional in content is a logical fiction based upon conflating what our report of thought/belief is existentially dependent upon with what thought/belief is existentially dependent upon. It stems from a crevasse in academic epistemology; neglecting to draw and maintain the actual distinction between our thought and belief and thinking about thought and belief. I think it was an honest oversight.
We operate, in the beginning of our thought life, by virtue of much simpler means. We do not begin thinking in propositional terms nor structure. Knowledge of pre-lingual thought/belief trumps logical rules when it comes to being forced to accept one or the other. You're opting for higher value and/or greater importance being placed upon the rules we determined, and I'm opting for what we've discovered to be true about those rules and what underwrites them all.
Logic takes account of pre-existing thought/belief. It presupposes truth as correspondence solely by virtue of
our assuming it in premisses. Logic is the rules of correct inference, with "correct" meaning something alone the lines of being 'mistake-free'. They are metacognitive 'rules'. They are the rules deemed worthy of use for arriving at true conclusions. The rules of logic are not without flaw. It would behoove us all to remember that they are meant to
preserve truth.
Ahem...
Gettier and 'logical' entailment show that one can follow the rules of logic and arrive at different truth conditions. Case A is a prima facie example of
this mistake when Gettier moves to "the man" after beginning with "I". Some may not understand that brief summary, for it is not a commonly taken approach to Gettier. Nonetheless, The point being that we are well advised to take extreme caution in overvaluing a product of our own imagination - the rules of correct inference are one such thing.
At conception, there is no such thing as the thought/belief of the creature.
Thought/belief begins simply and grows in it's complexity. Human knowledge shows this nicely. All knowledge is thought/belief. All. It is only after we've named our own mental ongoings with terms like "reason", "understanding", "thought", "belief", and all of the others used daily that we begin to think about our own thought and belief(that we begin metacognitive endeavors).
You're offering products thereof, and neglecting the fact that that's not how it begins. Knowing how it begins provides the standard by which to 'measure' metacognitive assertions about human thought/belief. That includes, but is not limited to, all notions meant to take account of our reasoning processes.
The principles you speak of were arrived at - via written language - as a means to reduce the likelihood of error in thought/belief. Thought/belief had long since been being formed. You've opted to place great importance upon the rules of correct inference, and other products of metacognition. I've opted to use knowledge of what all metacognition is existentially dependent upon. Seems that the justificatory power is not at all equal here. One makes a much stronger basis than the other.
2+2 always equals 4 quite simply because we won't let it be(mean) anything else. Numbers are names of quantities. Those have the most rigid meaning by virtue of our not allowing the name(number) to pick out any other referent(to pick out any other quantity;to have any other accepted meaning/use).