Paradox

SB Canto 5

In the Brahma-saṁhitā it is said, goloka eva nivasaty akhilātma-bhūtaḥ: (Bs. 5.37) the Lord always remains in Goloka, the topmost planet in the spiritual world. At the same time, He is all-pervading. This paradox is only possible for the Supreme Personality of Godhead, who is full of all opulences.

SB 5.18.30, Purport:

In the Brahma-saṁhitā it is said, goloka eva nivasaty akhilātma-bhūtaḥ: (Bs. 5.37) the Lord always remains in Goloka, the topmost planet in the spiritual world. At the same time, He is all-pervading. This paradox is only possible for the Supreme Personality of Godhead, who is full of all opulences. The Lord's all-pervasiveness is confirmed in Bhagavad-gītā (18.61) where Kṛṣṇa states, īśvaraḥ sarva-bhūtānāṁ hṛd-deśe 'rjuna tiṣṭhati: "The Supreme Lord is seated in everyone's heart, O Arjuna." Elsewhere in Bhagavad-gītā (15.15) the Lord says, sarvasya cāhaṁ hṛdi sanniviṣṭo mattaḥ smṛtir jñānam apohanaṁ ca: "I am seated in everyone's heart, and from Me come remembrance, knowledge and forgetfulness." Therefore, although the Lord is present everywhere, He cannot be seen with ordinary eyes. As Aryamā says, the Lord is anupalakṣita-sthāna: no one can locate Him. This is the greatness of the Supreme Personality of Godhead.

SB Canto 7

To keep intact all of Lord Brahmā's benedictions, Lord Nṛsiṁhadeva paradoxically but very easily killed the great demon Hiraṇyakaśipu.

SB 7.8.29, Purport:

Hiraṇyakaśipu had received from Lord Brahmā the benediction that he would not die on the land or in the sky. Therefore, to keep the promise of Lord Brahmā intact, Nṛsiṁhadeva placed Hiraṇyakaśipu's body on His lap, which was neither land nor sky. Hiraṇyakaśipu had received the benediction that he would not die either during the day or at night. Therefore, to keep this promise of Brahmā, the Lord killed Hiraṇyakaśipu in the evening, which is the end of day and the beginning of night but is neither day nor night. Hiraṇyakaśipu had taken a benediction from Lord Brahmā that he would not die from any weapon or be killed by any person, dead or alive. Therefore, just to keep the word of Lord Brahmā, Lord Nṛsiṁhadeva pierced Hiraṇyakaśipu's body with His nails, which were not weapons and were neither living nor dead. Indeed, the nails can be called dead, but at the same time they can be said to be alive. To keep intact all of Lord Brahmā's benedictions, Lord Nṛsiṁhadeva paradoxically but very easily killed the great demon Hiraṇyakaśipu.

CC Adi-lila

Revealed knowledge may in the beginning be unbelievable because of our paradoxical desire to verify everything with our tiny brains, but the speculative means of attaining knowledge is always imperfect.

CC Adi 5.14, Purport:

Revealed knowledge may in the beginning be unbelievable because of our paradoxical desire to verify everything with our tiny brains, but the speculative means of attaining knowledge is always imperfect. The perfect knowledge propounded in the revealed scriptures is confirmed by the great ācāryas, who have left ample commentations upon them; none of these ācāryas has disbelieved in the śāstras. One who disbelieves in the śāstras is an atheist, and we should not consult an atheist, however great he may be. A staunch believer in the śāstras, with all their diversities, is the right person from whom to gather real knowledge. Such knowledge may seem inconceivable in the beginning, but when put forward by the proper authority its meaning is revealed, and then one no longer has any doubts about it.