Śrīmad-Bhāgavatam 3.24.19
అయం సిద్ధగణాధీశ: సాఙ్ఖ్యాచార్యై: సుసమ్మత: ।
లోకే కపిల ఇత్యాఖ్యాం గన్తా తే కీర్తివర్ధన: ॥ ౧౯ ॥
ayaṁ siddha-gaṇādhīśaḥ
[ayam siddha-ganaadheeshah]
sāṅkhyācāryaiḥ susammataḥ
[saankhyaachaaryaih susammatah]
loke kapila ity ākhyāṁ
[loke kapila ity aakhyaam]
gantā te kīrti-vardhanaḥ
[gantaa te keerti-vardhanah]
Word-for-word
ayam
—
this Personality of Godhead
siddha-gaṇa
—
of the perfected sages
adhīśaḥ
—
the head
sāṅkhya-ācāryaiḥ
—
by ācāryas expert in Sāṅkhya philosophy
su-sammataḥ
—
approved according to Vedic principles
loke
—
in the world
kapilaḥ iti
—
as Kapila
ākhyām
—
celebrated
gantā
—
He will go about
te
—
your
kīrti
—
fame
vardhanaḥ
—
increasing.
Blended reading (Sanskrit + English inline)
ayaṁ siddha-gaṇādhīśaḥ
ayam
this Personality of Godhead
siddha-gaṇa
of the perfected sages
adhīśaḥ
the head
sāṅkhyācāryaiḥ susammataḥ
sāṅkhya-ācāryaiḥ
by ācāryas expert in Sāṅkhya philosophy
su-sammataḥ
approved according to Vedic principles
loke kapila ity ākhyāṁ
loke
in the world
kapilaḥ iti
as Kapila
ākhyām
celebrated
gantā te kīrti-vardhanaḥ
gantā
He will go about
te
your
kīrti
fame
vardhanaḥ
increasing.
Your son will be the head of all the perfected souls. He will be approved by the ācāryas expert in disseminating real knowledge, and among the people He will be celebrated by the name Kapila. As the son of Devahūti, He will increase your fame.
Purport
Sāṅkhya philosophy is the philosophical system enunciated by Kapila, the son of Devahūti. The other Kapila, who is not the son of Devahūti, is an imitation. This is the statement of Brahmā, and because we belong to Brahmā’s disciplic succession we should accept his statement that the real Kapila is the son of Devahūti and that real Sāṅkhya philosophy is the system of philosophy which He introduced and which will be accepted by the ācāryas, the directors of spiritual discipline. The word susammata means “accepted by persons who are counted upon to give their good opinion.”
— A.C. Bhaktivedanta Swami Prabhupāda
Gauḍīya Ācāryas
Viśvanātha Cakravartī Ṭhākura
Gauḍīya
Translation
The chief of perfected sages, approved by the ācāryas of Sāṅkhya philosophy, he will take the name Kapila in this world and will increase your fame.
This person is approved. There is another perfect sage called Kapila, founder of the Sāṅkhya philosophy who is not well approved. He will preach philosophy contrary to the theistic philosophy of the Vedas. It is said in the Padma Purāṇa:
kapilo vāsudevo’khyas tattvaṁ sāṅkhyaṁ jagāda ha
brahmādibhyaś ca devebhyo bhṛgvādibhyas tathaiva ca
tathaivāsuraye sarva-vedārthair upabṛṁhitam
sarva-vedaviruddhaṣ ca kapilo ’nyo jagāda ha
sāṅkhyam āsuraye anyasmai kutarka-paribṛṁhitam
Kapila or Vasudeva spoke the real Sāṅkhya, which is filled with the meaning of all the Vedas to Brahmā and others, the devatās, the sages such as Bhṛgu, and to a person called Āsuri. Another Kapila spoke Sāṅkhya which is contrary to the Vedas, filled with bad logic, to another person called Āsuri.
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Source: vedabase.io