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Is faith simply the acknowledgment and embracing of certain truths?

Yes. That is correct. But salvation is based on the systematic understanding of Scripture as a whole. Faith that is living produces a change in thinking: repentance. That change in thinking produces a change in behavior. The "affections" are not the emotions as you imply. The affections according to Jonathan Edwards, includes the intellect/mind. The heart and the mind are the same thing in Scripture:

For as he thinketh in his heart, so is he: Eat and drink, saith he to thee; but his heart is not with thee. (Proverbs 23:7 KJV)

O generation of vipers, how can ye, being evil, speak good things? for out of the abundance of the heart the mouth speaketh. 35 A good man out of the good treasure of the heart bringeth forth good things: and an evil man out of the evil treasure bringeth forth evil things. (Matthew 12:34-35 KJV)
For out of the heart proceed evil thoughts, murders, adulteries, fornications, thefts, false witness, blasphemies: 20 These are the things which defile a man: but to eat with unwashen hands defileth not a man. (Matthew 15:19-20 KJV)
A good man out of the good treasure of his heart bringeth forth that which is good; and an evil man out of the evil treasure of his heart bringeth forth that which is evil: for of the abundance of the heart his mouth speaketh. (Luke 6:45 KJV)

What you THINK determines what you ARE and HOW you BEHAVE.

And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God. (Romans 12:2 KJV)

Last edited by Cranmer; Wed Jun 05, 2013 8:31 AM.

For "who has known the mind of the LORD that he may instruct Him?" But we have the mind of Christ. (1 Corinthians 2:16 NKJ)