It would not. Perhaps you are puzzled by this, but look at it in a simplified situation. Let's suppose that our claim is this: If it rained, the ground will be wet.
So what do we know if the ground is wet? Some people may say that we know that it rained, but is this really true? Are there no other possible causes for wet ground? Maybe John washed his car. Maybe the sewer backed up. Maybe someone ran over a fire hydrant. Maybe someone left the sprinkers running too long. Maybe it hailed, and the hail has since melted. In short, there are multiple other possible reasons that the ground might be wet.
But what if there were no other known reasons for wet ground? Would that make the hypothesis of rain guaranteed? No, it would not. Tomorrow someone may come up with a new way that the ground can become wet–a way that we didn't know about before.
This is the problem with inductive reasoning. Even when all inputs are true, the conclusion may still be false.
Your approach to this is just bananas, man.
Genetically testing two samples for relation is in no way similar to guessing that it rained just because the ground is wet... The only way those two could be compared is if you tested the moisture in a dirt sample for definitive chemical evidence that the moisture came from rain water. The very reason that you test phenotypical assumptions of relatedness is to assure that you aren't falling into some of the traps that you're referring to. Continuing a detailed study based on faulty base data would be folly.
But despite all of that, the only thing you really need to do is show me an example of genetically related things that aren't actually genetically related. Show me a false positive.
If you're claiming that my simplistic breakdown of biological relatedness is purely based on inductive reasoning and nothing more, then please show me a genetically verified point of relation between any two organisms and then explain to me how they are not actually related. If you can't do that then you need to drop this angle of attack.
Would it really? How many white swans do I need to see before I know that all swans are white?
Perhaps you say that all grass is green. How would you respond to someone who said that all grass is
grue? Don't all the data equally support the idea that grass is grue?
How can you determine between valid and invalid inductive conclusions?
If three girls are on a bus, and the bus is going south, when a new girl gets on the bus, will she also be going south? Most people would say yes.
But if three girls are on a bus, and all three were born in February, when a new girls gets on the bus, will she also be born in February? Most people would say no.
So how can you distinguish between a valid and an invalid inductive conclusion? Do you have a rule? If so, share it with us, please.
You test it... You test any of those conclusions with something that is not based on your reasoning. Genetic testing is not based on your guesses about the direction of the bus or the date of birth of any of it's occupants. It's based on the thousands/millions of points of raw data from the molecular level of any
thing.
If I took 3 rocks and broke them all in half, how would you know which shard came from which parent rock?
You could look at them, certainly. You could make some pretty decent assumptions about which piece goes where, based on things like shape, color, or break pattern. But if we were going be very stringent in our testing and wanted to most accurately know which shard came from which rock, wouldn't you add a layer or two of testing? And wouldn't you base that testing on something a step or two removed from just your eyes - say, like chemical testing or maybe spectrometry?
How is genetic verification any different?
I find it shocking that you would say such a thing. How would you respond to a Christian who said, "I find it interesting that you tried to attack the argument by calling it superstitious writings of ancient primitive people rather than quoting another Bible verse that refutes my point?"
Gladly! If we were in a debate about Scriptural accuracy, then I would happily debate you on those grounds alone. I wouldn't need to simply input random opinion because that would be disingenuous of me, don't you think?
If we were debating Math, wouldn't you use Math to refute my claims?
If we were debating History, wouldn't you use Historical examples to critique my conclusions?
If we were debating Economics, wouldn't you use economic bases to support your assertions?
Yet in a debate about Science you aren't using science... why?
Wait... what? Physical traits that are not genetically related or organisms that are not genetically related? I think it entirely depends on what the meaning of the word "is" is.
Either or
Oh, that's easy. All you have to do is look at
http://www.sciencedirect.com/science/article/pii/S1631068312001960
However, I'd like to point out the logical fallacy that you are employing here. It's a subset of the
argument from ignorance logical fallacy, but I'll call it the "Science of the Gaps" logical fallacy. Basically, you are saying that because there is a gap in knowledge, we are required to accept science's latest theory as valid and true.
How is this any difference from the
God of the Gaps logical fallacy?
That article does nothing to address the challenge of finding a shared physical trait that is not genetically related... It's about questioning whether or not the appendix evolved base on diet, physical, or social factors. I would suggest you keep looking.
Side note - If anything, it causes me to point out the similarity of appendices in both humans and great apes. They are vastly different from those of smaller mammals, not only in function, but in tissue structure as well. (I'm guessing here that you chose the appendix because of the common argument about it's vestigial origin. I'm not of that camp. Don't assume as much.)
Also, I've never said such a thing.
Matching genetic markers indicate relatedness, and there's a whole slew of reasons why that is:
https://en.wikipedia.org/wiki/Molecular_clock
https://en.wikipedia.org/wiki/Evidence_of_common_descent
https://en.wikipedia.org/wiki/Homology_(biology)#Orthology
https://en.wikipedia.org/wiki/Pseudogene
https://en.wikipedia.org/wiki/Nucleic_acid_sequence
If you have a problem with that, I would like to hear something more definitive than just saying "Well - it's all a logical fallacy."
Genetic testing can tell you who your parents are, and how much DNA you share with your direct siblings, cousins, and distant relatives. It does the exact same thing for showing your relatedness to any other organism on the planet, using the exact same science...
What about that do you have a problem with?