Explanation

The word Baseer comes from the root baa-saad-raa (ب ص ر) which has various classical Arabic connotations such as to see, behold, notice,to understand, to know,to perceive, to have insight and to be acutely aware.

Everything in existence is under ALLAH purview. His sight not only compasses the visible, but also every state of existence and every circumstance. Whenever ALLAH creates something, grants something, brings something to life, causes death, guides someone, or allows someone to stray, it is in accordance with His wisdom, His perfect knowledge, and His complete vision that nothing can escape.

He is The One whose insight sees all things clearly, both the apparent and the hidden, The One who sees and understands all that has been, and all that will be.

Quran References

Indeed, Allah commands you to render trusts to whom they are due and when you judge between people to judge with justice. Excellent is that which Allah instructs you. Indeed, Allah is ever Hearing and Seeing.  (Quran 4:58)

Exalted is He who took His Servant [i.e., Prophet Muḥammad (ﷺ)] by night from al-Masjid al-Ḥarām to al-Masjid al-Aqṣā, whose surroundings We have blessed, to show him of Our signs. Indeed, He is the Hearing,³ the Seeing. (Quran 17:1)

[He is] Creator of the heavens and the earth. He has made for you from yourselves, mates, and among the cattle, mates; He multiplies you thereby. There is nothing like unto Him,¹ and He is the Hearing, the Seeing. (Quran 42:11)

And if Allah had extended [excessively] provision for His servants, they would have committed tyranny throughout the earth. But He sends [it] down in an amount which He wills. Indeed He is, of His servants, Aware and Seeing. (Quran 42:27)