One of the common argument structures for your #3 which is inductive thinking doesn’t use a positive set of facts like I did, but directly does what you asked, that is: require that argument be accepted “because otherwise you would have to reject some other universally accepted truth.”
Assertion to test: All multiples of 3 are odd numbers.
3 is an odd number.
All multiples of three include even multiples of 3.
2 is an even number and 2x3 is an even mutiple of 3.
2X3 = 6.
6 is also an odd multiple of 2.
All multiples of 2 are even numbers.
Therefore, I have:
a) all multiples of 3 are odd numbers.
b) some multiples of 3 are even numbers.
Contradiction. Therefore, my assertion cannot be true.
Conclusion: All multiples of 3 are not even numbers.
This is called, appropriately enough, proof by contradiction.
The underlying principle is that a thing can’t “be” and “not be” at the same time. Therefore, the refutation of a contradiction yields a logical truth.
NOTE: For this sort of thing to work, of course, “be” and “not be” have to apply to properties that are mutually exclusive. This is why this sort of thing is more useful to mathematics, science and some other kinds of knowledge, and rather less useful when dealing with arguments like pudding cakes with and without frosting, certain wacky psychological states people can get themselves into, and so on.
YOU MIGHT WANT TO BE CAREFUL getting into all of this with a bunch of kids unless you’re going to actually teach them logic or philosophy and take some time at it. This can be kind of dangerous to immature minds because they tend make all kinds of arguments with faulty premises and take off on tangents.
Give a baby a hammer and suddenly everything looks like a nail, etc.
BETTER to talk about the content of REVELATION and FAITH which is another way of knowing that’s just as sure, in very much the same way that LOVE is, which all teenage boys know and dream about in some form. They won’t deny that Loving is Knowing. They know this.
Also the whole business about where we got Revelation, and how that works, is fascinating.