Secondly, faith involves an act of the will precisely as all works do.
This is the only aspect of faith that we have been looking at so your other point is moot.
Besides that, a book is not work is it. Faith is a body of doctrine, as in the Bible. That is the other definition of faith. Jude says: "Contend for the faith." IOW, fight the good fight of faith; stand up for the Bible. Preach the Word of God. Defend the faith. Defend the Bible. Look HP, whatever you may think, the Bible, a book (perhaps the Book of books) is not a verb, and is not a "work." I could use some pretty good adjectives and nouns here that would describe a "fool" but I won't. But any__________can see that.
Now the word we are discussing is the verb for faith which is "believe" or "have faith."
"Believe" on the Lord Jesus Christ and thou shalt be saved.
Is to have faith on Christ or to believe in him a work.
If I believe you, will you pay me for my "belief." How much will you pay me for my work of "believing"? How much is my faith worth to you? How many calories did I spend by "believing." How are you defining faith or belief as a work and when it cannot in any way be defined as a work? What will you pay me for this work?
Romans 4:3 For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness.
--Abraham was not justified by works, not any work. He was justified by faith, which is not a work.
Romans 4:4 Now to him that worketh is the reward not reckoned of grace, but of debt.
--To the person who works a reward is deserved, not of grace, but because it is owed to him. People don't work for nothing. They work for a wage. And at the end of the week they want to be paid. They don't want grace--a gift. They want what they deserve, what they worked for.
Romans 4:5 But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
--Faith is not a work. To him that does no work at all but simply has faith on him that justifies the ungodly, his faith is counted for righteousness. Faith is not a work. It is clear here. To him that works not, but simply believes.
It is evident that faith is not a work. The Bible makes that abundantly clear.