Reve said: We know what's not objective. Hard numbers, unshakable facts, pure data.
As for our interpretations of that hard data and subjective understanding, I'll have to quote Godel (again): how can you tell if your own logic is "peculiar' (in this case, sound) or not, given that you have only your own logic to judge itself?
I think that I think that I think that I grasp this.
I get this feeling that I'm getting mindblown again.
I think you're confusing objective and subjective in that first sentence. Objective means "of or pertaining to something that can be known, or to something that is an object or a part of an object; existing independent of thought or an observer as part of reality." Objective reality is the way things truly are.
That said, I'd be careful what you define as objective. Data is NOT entirely objective. Every measurement is subject to problems with precision. You can only go so far. That ball you think has a diameter of 1.272 cm actually has a diameter of 1.272345930103920382042810218104382043824042843...
Does that make much of a difference? No, but it's still a difference between our subjective reality and objective reality. Plus, when you get to things that are only thousandths of an inch wide, that issue with precision becomes massive. That's what I'm talking about when I say we should strive to get closer to objective reality. Maybe we can calculate that diameter to be 1.2723459301039 in the future.
Edit: "Logic" is a very bad word to use there. "Understanding" or "reasoning" would be much better. Logic itself is objective. If A then B. Applying logic simply says that if you can confirm A, then B is true as well. The issues arise when you are unable to accurately determine whether A is true, or whether B is dependent on A. That has nothing to do with logic, though.