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I have found that to be a wrong approach to making decisions because I can be easily persuaded by anything that is logical and coherent. If I were to apply the method you mentioned, I'd probably go crazy because I'd be able to find logical arguments to support the vericity of many different religions and heresies.
The thing with assessing whether something stands up is to consider evidence for it and against it. It's easy to find a verse here and a passage there to support all sorts of bizarre theories. Sometimes I find it interesting to get together with Christian friends and see just how ridiculous an idea we can come up with and "support" using Scripture.
If something appears logical and coherent that's a good start but it also has to be consistent with things outside of itself. That's just one reason I don't like watching videos of someone speaking - if I have the words in front of me it's easier to move back and forth, and therefore harder for them to pull a bait-and-switch line of reasoning. Someone who is trying to pull a fast one is likely to present several stages in a process of reasoning where potentially only one of them is fatally flawed. If you find that the conclusion from step 6 seems weird, it's good to be able to go back to the beginning and trace it through again so you can see whether things still make sense at step 5, step 4, etc.
Being logical and coherent only works for as long as something starts well grounded, and every step is logical. If you start with an assumption that isn't valid than anything logically concluded from that assumption is suspect. There's actually a process in mathematics known as reductio ad absurdum (literally, reduction to the absurd) in which something can be proven to be false by assuming it to be true and following a trail of logical to something absurd. To take a simple example, if I assume that x=y and from that deduce that 3=5 I know that the final conclusion is absurd and therefore the initial assumption must be false (in other words, x is not equal to y). The point there is that some known anchor is required - in the absence of such an anchor we could start with an assumption that we may not understand is an assumption, conclude that 3=5 and then go forward thinking that 3 actually equals 5.
Sometimes we just don't have enough information to make a decision so we have to go with what seems most plausible and stick with it until such time as we see evidence that causes us to doubt our original choice.