akshara infallible

Our goal is to become infallible. 

This is not possible independently.

We have to become 'Kuta stha'

Means situated in oneness in desire ambition motive intention with the Supreme

To become akshara is the goal of life 

dvāv imau puruṣau loke

kṣaraś cākṣara eva ca
kṣaraḥ sarvāṇi bhūtāni
kūṭa-stho ’kṣara ucyate - Gita 15.16

There are two classes of beings, the fallible and the infallible. In the material world every living entity is fallible, and in the spiritual world every living entity is called infallible.

This sloka is coming after the Lord is saying how he doing everything even within a living entities body

Digestion provides energy

Intellectual faculty - remembrance, knowledge and forgetfulness

Without the above no one can even lead life even for a second

Why he changes gear to 2 kinds of living beings? ofcourse there is a third Purushottama

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what are the 2 classes of beings?

What is the difference between living entity in material to spiritual worlds?

what is infallible meaning?

never wrong, failing, or making a mistake

As already explained, the Lord in His incarnation as Vyāsadeva compiled the Vedānta-sūtra

Here the Lord is giving, in summary, the contents of the Vedānta-sūtra

He says that the living entities, who are innumerable, can be divided into two classes – the fallible and the infallible

The living entities are eternally separated parts and parcels of the Supreme Personality of Godhead

When they are in contact with the material world they are called jīva-bhūta, and the Sanskrit words given here, kṣaraḥ sarvāṇi bhūtāni, mean that they are fallible.

Those who are in oneness with the Supreme Personality of Godhead, however, are called infallible. 

Oneness does not mean that they have no individuality, but that there is no disunity.

They are all agreeable to the purpose of the creation

Of course, in the spiritual world there is no such thing as creation, but since the Supreme Personality of Godhead, as stated in the Vedānta-sūtra, is the source of all emanations, that conception is explained.

According to the statement of the Supreme Personality of Godhead, Lord Kṛṣṇa, there are two classes of living entities.

The Vedas give evidence of this, so there is no doubt about it

 The living entities who are struggling in this world with the mind and five senses have their material bodies, which are changing

But in the spiritual world the body is not made of matter; therefore there is no change

In the material world the living entity undergoes six changes – birth, growth, duration, reproduction, then dwindling and vanishing.

But in the spiritual world the body does not change; there is no old age, there is no birth, there is no death. There all exists in oneness.

Kṣaraḥ sarvāṇi bhūtāni: any living entity who has come in contact with matter, beginning from the first created being, Brahmā, down to a small ant, is changing its body

herefore they are all fallible. In the spiritual world, however, they are always liberated in oneness.