The nature of the soul is a deep and complicated topic, but it can be summarized as our spiritual life — that is, who we are in terms of our thoughts and affections. And that, generally, is the internal sense when the Bible talks of a soul. You could be missing limbs, disfigured in the body due to illness or accident, paralyzed, but you would still be a complete human being. That's because the soul is the real you, and the soul has to do with internal things, not the state of your body.

In Genesis 19:37; 21:26; 30:32; 40:7; Matthew 6:30; Luke 12:28, this signifies the perpetuity and eternity of a state. (Arcana Coelestia 2838)

In Psalm 2:7, this signifies in time; for with Jehovah the future is present. (True Christian Religion 101)

The expression 'even to this day' or 'today' sometimes appears in the Word, as in Genesis 19:37-38, 22:14, 26:33, 32:32, 35:20, and 47:26. In a historical sense, these expressions have respect to the time when Moses lived, but in an internal sense, 'this day' and 'today' signify the perpetuity and eternity of a state. 'Day' denotes state, and likewise 'today,' which is the current time. Anything related to time in the world is eternal in heaven, and to represent this, 'today' or 'to this day' is added. Although, in the historical sense, this appears as if the expressions only have a literal meaning, just like it says in other parts of the Word, such as Joshua 4:9, 6:25, 7:20, Judges 1:21, 26, etc. 'Today' means something perpetual and eternal in Psalms 2:7, 119:89-91, Jeremiah 1:5, 10, 18, Deuteronomy 29:9-14, Numbers 28:3, 23, Daniel 8:13, 11:31, 12:11, Exodus 16:4, 19, 20, 23, John 6:31, 32, 49, 50, 58, Matthew 6:11, and Luke 11:3.

(Reference: Arcana Coelestia 2838 [1-4], Genesis 47:26)