When I call to remembrance the genuine faith that is in you, which dwelt first in your grandmother Lois, and your mother Eunice; and I am persuaded in you also. 2 Timothy 1:5
Paul notes that it’s a genuine or sincere faith that is in Timothy. This means that there is also a faith which is not genuine or sincere. Paul makes the distinction.
Ian Vincent 
August 25, 2010 at 2:28 am
And this marks the tenor of this letter to Timothy. Paul instructs Timothy on the difference between genuine faith and fake or pretend faith.
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For the time will come when they will not endure sound doctrine; but after their own lusts shall they draw to themselves teachers, having itching ears; And they shall turn away their ears from the truth, and shall be turned unto myths.
(2Ti 4:3-4)
An example of faith that is not genuine. They certainly have “a faith”, but it is fake.
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Alexander the coppersmith did me much evil: the Lord reward him according to his works: Of whom you beware also; for he has greatly withstood our words.
(2Ti 4:14-15)
And today? How many teachers and preachers greatly oppose Paul’s words?
We’ve been mentioning 1 Cor. 14 : how many leaders today actually DO THIS? Virtually none. Paul would say of them, “they greatly withstood our words“.