“...I will quibble with you in that Christ did say, But I say unto you, That whosoever looketh on a woman to lust after her hath committed adultery with her already in his heart.”
In Catholic terms, there is a clear distinction between fleeting temptations that enter the mind unbidden and deliberate ideation that mentally “acts” on those otherwise-fleeting temptations.
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My hermeneutic is literal, taking even “fleeting thoughts “ as sinful, as they miss the mark of “bringing into captivity every thought to the obedience of Christ;”II Corinthians 10:5; indeed “sin lieth at the door” Genesis 4:7, which as far as I can see is the first use of the term, at least in English translation.