Sequential Orderliness is our biological and psychological processes following an orderly path in which the product of one constituent operation sources the next. All are contributory, therefore. None is hierarchically superior, more dominating, or authoritative. Each contributes to the cause of life so that regardless of measure, all support life equally. Without equality and independence, our right to life and property, freedom, and a convivial society have no reference base. Accordingly, we all are equal by the nature of our living beings, wherein life is the bottom line reference, the supreme value.

Personal or social ideas not derived from reality or evidenced therein, cannot be consistently practised without ill consequence.
Independence
The separation of our conscious and subconscious minds highlights that individualism may still serve a common purpose, although we each are independent from one another. Independence means being singularly alive in body, mind, and spirit, and recognising that others are likewise blessed, despite their different focus in life. Like separateness is the natural order of the world.
Ayn Rand made independence very clear–
Ayn Rand
We inherit the products of the thought of other men. We inherit the wheel. We make a cart. The cart becomes an automobile. The automobile becomes an airplane. But all through the process what we receive from others is only the end product of their thinking. 
The moving force is the creative faculty which takes this product as material, uses it and originates the next step. This creative faculty cannot be given or received, shared or borrowed. It belongs to single, individual men. 
No man can give another the capacity to think. Yet that capacity is our only means of survival.
And that is exactly how Sequential Orderliness works in our conscious process. Independence is fundamental to our biology, psychology, and praxeology – the study of human action and conduct. Independence is essential to our lives, thoughts, feelings, and actions.
Independence
Once we are sure of our independence, we can stop riding a collective life raft rotting from mental bankruptcy. The choice to be free is one we each must make. But first, we must know what that choice involves, how to exercise it, and how to protect it. From that understanding, we can reach out to others whenever and however we choose.
Solutions to private and public problems require thinking things through logically, because sequential orderliness depends on sucess building success. We must reject what is unworkable or biased, while recognising that every mind functions independently, no matter how much it utilises information separately sourced by others. That independence is your power, yet that is what propagandists and collectivists wish to collapse or eliminate.
Jon Rappoport
Some people want to say that power is a neutral object that can be used for good or evil. That isn't true. Your deepest power is alive. It's personal. It's stunningly energetic and dynamic. It connects with your deepest understanding of what is true and good and right. But it never sacrifices itself on the altar of what others insist is good and true and right. It never deserts you for an abstract ideology someone else has devised. That ideology was formulated, in fact, to separate you from your power.
Is that why no one is taught what full consciousness is? Your creative power is yours, individually and independently. The more you develop it as sequential orderliness, the less fear you will experience. Your powerful future, happiness, and freedom lies in your knowledge of consciousness, and in your ability to visualise using it to the full. Free individuals know that the greatest good comes from liberating all individuals to pursue their highest aspirations.
Lydia Maria Child
The boughs of no two trees ever have the same arrangement. Nature always produces individuals; she never produces classes.