Final answer:
Satan tempted Eve in the Garden of Eden to challenge God's sovereignty and corrupt His creation, leading to original sin and influencing theological debates on evil, free will, and predestination.
Step-by-step explanation:
The question regarding why did Satan tempt Eve at the fall is deeply rooted in Judeo-Christian theology and tradition, specifically the interpretation of the Biblical account of Adam and Eve in Genesis 3. The story implies that Satan, taking the form of a serpent, tempted Eve as a means to undermine God's command and introduce the knowledge of good and evil to humankind. This act of temptation led to the original sin which brought consequences upon Adam and Eve, and by extension, humanity.
In theological discourse, Satan's motive for tempting Eve could be seen as his desire to challenge God's sovereignty and corrupt His creation. Satan, being a fallen angel according to tradition, may have sought to disrupt the order established by God in the Garden of Eden. The serpent's deceit encouraged Eve to eat from the Tree of Knowledge, which was prohibited by God, implying a deliberate act of rebellion.
The broader existential and philosophical debates around this narrative question the nature of evil, free will, and predestination, which are subjects of extensive theological discussion. St. Augustine and Irenaeus present differing interpretations on the matter, linking it to the concepts of human development, soul-making, and the allowance of evil for the greater purpose of achieving divine love and spiritual life.