The Vedānta-sūtra in the very beginning affirms that everything is born from the Supreme, and thus, as explained in the previous verse, all individual living entities are born from the energy of the supreme living being, the Personality of Godhead. Brahmā himself was born from the energy of the Lord, and all other living entities are born from the energy of the Lord through the agency of Brahmā; none of them has any existence without being dovetailed with the Supreme Lord.
The independence of the individual living entity is not real independence, but is just the reflection of the real independence existing in the Supreme Being, the Lord. The false claim of supreme independence by the conditioned souls is illusion, and this conclusion is admitted in this verse.
Persons with a poor fund of knowledge become illusioned, and therefore the so-called scientists, physiologists, empiric philosophers, etc., become dazzled by the glaring reflection of the sun, moon, electricity, etc., and deny the existence of the Supreme Lord, putting forward theories and different speculations about the creation, maintenance and annihilation of everything material. The medical practitioner may deny the existence of the soul in the physiological bodily construction of an individual person, but he cannot give life to a dead body, even though all the mechanisms of the body exist even after death. The psychologist makes a serious study of the physiological conditions of the brain, as if the construction of the cerebral lump were the machine of the functioning mind, but in the dead body the psychologist cannot bring back the function of the mind. These scientific studies of the cosmic manifestation or the bodily construction independent of the Supreme Lord are different reflective intellectual gymnastics only, but at the end they are all illusion and nothing more. All such advancement of science and knowledge in the present context of material civilization is but an action of the covering influence of the illusory energy. The illusory energy has two phases of existence, namely the covering influence and the throwing influence. By the throwing influence the illusory energy throws the living entities into the darkness of ignorance, and by the covering influence she covers the eyes of men with a poor fund of knowledge about the existence of the Supreme Person who enlightened the supreme individual living being, Brahmā. The identity of Brahmā with the Supreme Lord is never claimed herein, and therefore such a foolish claim by the man with a poor fund of knowledge is another display of the illusory energy of the Lord. The Lord says in the Bhagavad-gītā (16.18-20) that demoniac persons who deny the existence of the Lord are thrown more and more into the darkness of ignorance, and thus such demoniac persons transmigrate life after life without any knowledge of the Supreme Personality of Godhead.