You are simply restating the definition of a contradiction- nothing more.
Irrelevant. That we define two statements that can not both be true simultaneously as contradictions doesn't address the issue that we know this fact about reality. We recognize that statements of fact can make incompatible truth claims and absolutely know that they can not both be true at the same time. This is objective knowledge.
The concept of mutually exclusive alternatives is indeed objective, but it is based on empiricism. How can any two statements be known to be contradictory or mututally exclusive unless you have some way of experiencing or demonstrating that they are?
Based on empiricism? To be sure what you are claiming is that we can not possibly know that incompatible truth claims are not both correct unless we can observe them with our senses. This is intellectual tomfoolery of the lowest order, let me explain.
If I assert that no life forms can survive temperatures exceeding 30,000 Rankine and another person asserts that certain types of life forms can survive, and indeed thrive, in temperatures exceeding 30,000 Rankine do we need to conduct a scientific investigation to know that one of these two assertions is necessarily false? Of course we do not. We need no empirical evidence at all to determine one of these assertions can not be possibly correct.
This is a logical conclusion based on objective knowledge that incompatible truth claims can not both be correct.
If you arrive at the conclusion that two statements are contradictory, even if only in through a line of reasoning, what you have done is to conduct a "thought experiment". These are common devices, especially in theoretical branches of science.
And? Certainly you don't intend to toss "thought" in with the other senses in order to make thought empirical. Being empirical, or being empirically based, requires evidence that is observable by the physical senses.
All you are doing here is admitting what I assert from the beginning, than not all objective knowledge is empirical by demonstrating your acceptance of theoretical branches of science.
If what you mean by empirical is instead that of which one is cognizant of then I retract my disagreement and wholeheartedly agree that only empiracle fact is an objective form of knowledge.
You have yet to tell me what makes something real to you. I get the sense that it is just your or anyone's beliefe in it. In that sense, the flying spaghetti monster and alien anal probes are quite real. Tell me your criteria for determining what is real, and I will tell you tell you if I accept them.
What makes it real to me? Are you joking? I don't even understand the notion of "real to me". Do you mean what I believe is real?
Something is real regardless of my opinion, perception or belief in it.
The FSM is real, at least the idea is real, if it were not real you wouldn't be able to use it in our discussion.
If by real you mean physically exist then I would have to question your sanity if you assert the FSM is real.
Third- I think I caused some confusion when I claimed that all reality is empirical- I should have qualified that.
My theory is that the only things which are objectively real, the only things which can exist independant of observers, are those things that can be described empirically.
Again, a meaningless tautology. You are using real to mean "that which physically exists". You are only saying that those things that physical exists can be described empircally.