Kali's four arms represent the complete circle of creation and
destruction, which is contained within her. She represents the
inherent creative and destructive rhythms of the cosmos. Her right
hands, making the mudras of "fear not" and conferring boons,
represent the creative aspect of Kali, while the left hands,
holding a bloodied sword and a severed head represent her
destructive aspect. The bloodied sword and severed head symbolize
the destruction of ignorance and the dawning of knowledge. The
sword is the sword of knowledge, that cuts the knots of ignorance
and destroys false consciousness (the severed head). Kali opens the
gates of freedom with this sword, having cut the eight bonds that
bind human beings. Finally her three eyes represent the sun, moon,
and fire, with which she is able to observe the three modes of
time: past, present and future. This attribute is also the origin
of the name Kali, which is the feminine form of 'Kala', the
Sanskrit term for Time.
Another symbolic but controversial aspect of Kali is her proximity
to the cremation ground:
O Kali, Thou art fond of cremation grounds;
so I have turned my heart into one
That thou, a resident of cremation grounds,
may dance there unceasingly.
O Mother! I have no other fond desire in my heart;
fire of a funeral pyre is burning there;
O Mother! I have preserved the ashes of dead bodies all
around
that Thou may come.
O Mother! Keeping Shiva, conqueror of Death, under Thy feet,
Come, dancing to the tune of music;
Prasada waits With his eyes closed
... Ramprasad (1718-75)
Kali's dwelling place, the cremation ground denotes a place where
the five elements (Sanskrit: pancha mahabhuta) are dissolved. Kali
dwells where dissolution takes place. In terms of devotion and
worship, this denotes the dissolving of attachments, anger, lust,
and other binding emotions, feelings, and ideas. The heart of the
devotee is where this burning takes place, and it is in the heart
that Kali dwells. The devotee makes her image in his heart and
under her influence burns away all limitations and ignorance in the
cremation fires. This inner cremation fire in the heart is the fire
of knowledge, (Sanskrit: gyanagni), which Kali bestows.

The image of a recumbent Shiva lying under the feet of Kali
represents Shiva as the passive potential of creation and Kali as
his Shakti. The generic term Shakti denotes the Universal feminine
creative principle and the energizing force behind all male
divinity including Shiva. Shakti is known by the general name Devi,
from the root 'div', meaning to shine. She is the Shining One, who
is given different names in different places and in different
appearances, as the symbol of the life-giving powers of the
Universe. It is she that powers him. This Shakti is expressed as
the i in Shiva's name. Without this i, Shiva becomes Shva, which in
Sanskrit means a corpse. Thus suggesting that without his Shakti,
Shiva is powerless or inert.
Kali is a particularly appropriate image for conveying the idea of
the world as the play of the gods. The spontaneous, effortless,
dizzying creativity of the divine reflex is conveyed in her wild
appearance. Insofar as kali is identified with the phenomenal
world, she presents a picture of that world that underlies its
ephemeral and unpredictable nature. In her mad dancing, disheveled
hair, and eerie howl there is made present the hint of a world
reeling, careening out of control. The world is created and
destroyed in Kali's wild dancing, and the truth of redemption lies
in man's awareness that he is invited to take part in that dance,
to yield to the frenzied beat of the Mother's dance of life and
death.
O Kali, my Mother full of Bliss! Enchantress of the almighty
Shiva!
In Thy delirious joy Thou dancest, clapping Thy hands
together!
Thou art the Mover of all that move, and we are but Thy helpless
toys
...Ramakrishna Paramhans
Kali and her attendants dance to rhythms pounded out by Shiva (Lord
of destruction) and his animal-headed attendants who dwell in the
Himalayas. Associated with chaos and uncontrollable destruction,
Kali's own retinue brandishes swords and holds aloft skull cups
from which they drink the blood that intoxicates them. Kali, like
Shiva, has a third eye, but in all other respects the two are
distinguished from one another. In contrast to Shiva's sweet
expression, plump body, and ash white complexion, dark kali's
emaciated limbs, angular gestures, and fierce grimace convey a wild
intensity. Her loose hair, skull garland, and tiger wrap whip
around her body as she stomps and claps to the rhythm of the
dance.

Many stories describe Kali's dance with Shiva as one that
"threatens to destroy the world" by its savage power. Art historian
Stella Kramrisch has noted that the image of kali dancing with
Shiva follows closely the myth of the demon Daruka. When Shiva asks
his wife Parvati to destroy this demon, she enters Shiva's body and
transforms herself from the poison that is stored in his throat.
She emerges from Shiva as Kali, ferocious in appearance, and with
the help of her flesh eating retinue attacks and defeats the demon.
Kali however became so intoxicated by the blood lust of battle that
her aroused fury and wild hunger threatened to destroy the whole
world. She continued her ferocious rampage until Shiva manifested
himself as an infant and lay crying in the midst of the
corpse-strewn field. Kali, deceived by Shiva's power of illusion,
became calm as she suckled the baby. When evening approached, Shiva
performed the dance of creation (tandava) to please the goddess.
Delighted with the dance, Kali and her attendants joined in.