Is this community cool with philosiphizers joining the philosophers in the conversation?
Isn't it basically what two people can agree on that is outside themselves? As in, how a thing is observed from a third person perspective? Seems like a necessary component of being able to communicate with one another. I think therefor I am doesn't say anything about how anyone else experiences the world. But we can both perceive a ball fly through the air after either one of us throws it.
Being able to take a step back and see subjects, siuations and problems as what they are, based on facts, proofs and truths, unfettered by personal experience, opinions or anecdote.
I think it's a worthwhile pursuit, but I also accept that we often fail to be truly objective for reasons of expediency, motive or more commonly, emotion.
My definition of "objectivity" is "the approach towards a philosophical matter that seeks to minimise the role of the subject in said matter".
For example:
what do you think of it?
Truth is objective and should be handled objectively. Gravity doesn't stop working because you're in a bad mood; 2+2 doesn't fluctuate between 3 and 5 depending on the observer; either a past event happened, or it didn't.
Other philosophical matters are better handled subjectively. For example, morality; something can be good or bad depending on the subject, and there's no way to handle this objectively.
If I say "two plus two equals four", I'm being objective. My statement should be true regardless of who is saying it, who's doing the maths, etc.
Even this is quite subjective, as it builds on the (subjective) acceptance of axioms. To most reading this, they would've been educated using the 8 Zermelo-Fraenkel (ZF) axioms, with the controversial 9th axiom of choice.
I disagree that this is subjective. Even if someone hypothetically doesn't accept the ZF[C], the statement still accurately describes reality, in a way that doesn't depend on the subject. For example, you can't start with two apples and two oranges and have five or tree fruits.
Yet in some contexts it isn't as easy as that. You can combine 1 liter of water with 1 liter of alcohol, and get less than 2 liters of fluids. (1)
But at that point you are out of realm of simple arithmetics any way.
1+1=2, except for when it's not :)
The volume of a mixture cannot be described by a simple sum of the volume of its components. As such, this does not make the statement "1+1=2" false in this situation; it's still true but irrelevant, there's no "+" here on first place.
Additionally, let us suppose for a moment that the reasoning above is invalid. Even then, it's still an objective matter - because then the truth value of "1+1=2" would vary depending on the object (are we dealing with apples, or liquid mixtures?), not on the subject (who's mixing the liquids - you or me?).
It's subjective as in: imagine a different society/species constructing a sense of reality and computation, based on liquid mixtures. Their basis of computation, their axiom is 1l of alcohol + 1l of water = 2l of mixture.
They meet us, and we exchange ideas.
They go: of course 1 + 1 = 2, look at our mixture. For fruits, apples and pears? That's outside of normal arithmetics, it's an exception. There's no + there, as you're not mixing. You have to correct for the non mixture nature, the answer will be larger than 2.
I don't think there is such a thing, but there are degrees from subjective to objective.