The test is whether or not the claim registers as logical to me.
Ow dear......
Contrary to what your superiority-complex leads you to believe, you do NOT know what is and isn't logical in advance.
Your "intuition" is not a reliable standard to differentiate truth from fiction.
This "method" would not conclude that time is relative to the observer.
This "method" would not conclude that a particle can show up in place X while you measure it in place Y.
This "method" would not even conclude that the earth orbits the sun.
I am a being who has been designed with the ability to utilize logic to determine what is true
No.... actually, you are a being that has been designed (by natural selection) to avoid being eaten by lions on the african plains. As such, you are prone to false positives, because when you are lunch to dangerous predators, your chances of survival are higher when you make decisions based on "better safe then sorry".
, or in your case, I am a being who has evolved to have an ability to utilize logic to determine what is true(for no apparent reason other than to indulge in pleasing myself...)
Again, no. See above.
If something can be shown to be illogical then I reject the claim.
This would have resulted in you rejecting the relativity of time, the weirdness of quantum mechanics, the heliocentric concept,....
All of which are things that are / were counter-intuitive
until we could actually demonstrate these things to be correct, with verifiable evidence.
Thus the logical statement that the truth about reality would be unfalsifiable because it would be impossible to prove the truth wrong
You should study up on the concept of falsifiability, because it's embarassingly clear that you have no idea about how that works.
the scientific method should not be employed when one wants to figure out the truth about reality because the scientific method depends on falsification.
Very well.
We'll use the scientific method to unravel the mysteries of the universe.
Meanwhile, you can sit there and "think about it".
We'll make progress and you... you'll just sit there. Thinking about it.
If you disagree that the above is logical, please explain why you disagree.
You can't differentiate what is true from what is wrong, if you can't verify it.