Excerpt from a 2007 interview with Apostle M. Russell Ballard:1
You will not get to know it [whether the Book of Mormon is true] by trying to prove it archaeologically, or by DNA, or by anything else…Religious truth is always confirmed by what you feel. And that’s the way heavenly father answers prayers.
From a Wikipedia article on emotional reasoning: 2
Emotional reasoning is a cognitive process by which a person concludes that his/her emotional reaction proves something is true, regardless of the observed evidence.
References
| 1 | M. Russell Ballard, Mormon Newsroom, Oct 4 2007 – https://www.youtube.com/watch?v=3AQTr9oB8lw |
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| 2 | Emotional Reasoning – https://en.wikipedia.org/wiki/Emotional_reasoning |