Meaning and elaboration
Meaning: The Liberator, who grants ultimate freedom and Moksha.
Elaboration
Muktih means "Liberation" or "Freedom." As a name of Mahakali, it reveals her as the giver of the soul's highest release: Moksha, the final freedom beyond all bondage.
The Goal of Spiritual Life In Hindu thought, Mukti is the highest aim of spiritual life. It is release from the cycle of birth, death, and rebirth (saṃsāra), and with that release comes the end of suffering and ignorance. Kali, as Muktih, is both the path to that freedom and the power that bestows it through her grace.
Destroyer of Bondage She frees her devotees not only from rebirth, but also from the inner bonds that keep the soul tied down: attachment (rāga), aversion (dveṣa), fear, ignorance (avidyā), ego (ahaṃkāra), and the limiting pull of the material world. Her fierce form exists for this very purpose. With the swiftness of a sword, she cuts through these chains, destroys illusion, and breaks whatever keeps the seeker spiritually bound.
The Path to Non-Duality At its deepest level, Muktih is the realization of non-duality (advaita): the knowledge that the individual self (ātman) is one with the Supreme Reality (Brahman). By revealing herself as the all-pervading truth, Kali dissolves the illusion of separation and leads the seeker into a state where worshipper and worshipped, self and cosmos, are known as one. Her gift of liberation is therefore not only freedom from bondage, but entry into the boundless reality of divine consciousness.