@neologist,
No your inner man is your spirit and soul. That is who you are. You are in that body but you are the inner man. Your spirit is the mind of your inner man, and your soul is the body of your inner man. All decisions are made by your spirit. All affections come from your soul.
The heart is a different thing. The heart is the intent of a thought. And seeing as how you cant know the intent of your own thoughts God provided the Holy Spirit to teach you.
The heart
Heb 4:12-13
12 For the word of God is living and powerful, and sharper than any two-edged sword, piercing even to the division of soul and spirit, and of joints and marrow, and is a discerner of the thoughts and intents of the heart.
13 And there is no creature hidden from His sight, but all things are naked and open to the eyes of Him to whom we must give account.
(NKJ)
The Holy Spirit searches the thoughts and knows the intent.
Rom 8:27
27 Now He who searches the hearts knows what the mind of the spirit is, because He makes intercession for the saints according to the will of God.
(NKJ)
The Holy Spirit makes intercession with the verses.