What is a person (puggala)?

King Pasenadi was taught,
"Four people are found in the world"
Wandering from life to life,
In the darkness or in the light.

Worldly established by the Teacher,
How can it be said they don't exist?
Worldly established as the wandering four,
How can it be said they don't wander?

Holding to acquired and pernicious views,
Some misguided people understand
The profound view as discordant
With the world; insisting "none exists!"

Slandering the Realized One,
They hold to extremes.
Wrongly grasping a snake
They insist, "none wanders!"

Misunderstanding the emptiness
Of people and phenomena
They fall to nihilistic tendencies,
Like Kesakambali, bereft of fruits.

Misunderstanding Vajira,
They hold the four as non-existent.
With Mara acquired conceptions,
They hold the four as non-wanderers.

Misidentifying the profound,
They proclaim the existence
Of the wandering four to be like that of
The son of a barren woman.

Understanding the profound,
Correctly grasping a snake,
Anurādha knew mere existence,
To be free of the impossible.

Not regarding the four
As real and genuine facts,
The wandering of the four
Should be properly established.

Not regarding wandering
As a real and genuine fact,
The mere existence of the four
Should be properly established.

Arguing not with the world,
The Buddha perfectly knew
The complete concordance of both
Profound and conventional truths.

Is a person (puggala) reborn into future lives?

A person can not be pinned down as a truth or reality even in this life, let alone a future life.

However if you are talking in terms of the doctrine of self, then you can talk about real things being grasped with wrong view to be personal or a person, a self or a being.

If you are then talking about a person, a self or a being, then you can talk about it in various contexts.

You can talk about a being's birth being dependent on another being's actions as if those were his own actions in a past life.

Understanding the doctrine of self as wrong view completes general understanding, does this make sense?

It is a delusion but it is the delusion that we are trying to unwind and we must understand & navigate it as it is but we don't have to be slave to it because we know it is a false doctrine.

the person is the thing that when u say 'i dont exist' observes that referent object freshly

the self is the innate misapprehension we have always had when the person appears.

for instance the power that endured you into this next moment is such a grasping of a self to the person

like everything else the person is hard to notice without much concentration and extremely obvious with pretty good concentration

Each mind can know one in 3 kinds of objects...

1. Arising&Vanishing Realities (trillion moments per second;sankhata)
2. Imagination (pannatti)
3. Nibbana Reality (asankhata)

(All of them have names[nāma] which is a kind of pannatti)

Everybody, included the noble one, must know Sankhata and Pannatti switching rapidly to live their life.

The Arising&Vanishing Realities means only 89 minds 52 mind factor 28 forms.

One know every realities by 6 doors then imagine of them as the only one by Ghanasaññā(1)(2) (Thinking of the whole as one; Perception that it is one and the same).

1. āramaṇaghana -- conceiving the conglomeration of sensations (of sight, of sound, of smell, of taste, of touch) as a palpable entity
2. santatighana -- consciousness of a series of sensations which seemingly merge into a continuum
3. kiccaghana -- concept of a soul, entity or being engendered by by taking the total physical and mental experiences as a unified whole
4. samūhaghana -- conceiving the body-organs and the body as a solid-entity when the body-octad including the four great essentials (mahābhūta consisting of: pathavī, āpo, tejo, vāyo ) are always in a flux of generation, stasis, and dissolution.

For the example, we know uncountable colors, sounds, smells, hardness, softness which arising&vanishing rapidly now, everybody imagine "a person is typing, a person is reading, a computer are touched by a person", but we has not enough concentration to see the truth whether it's only realities, 6 minds doing duties on 6 objects at 6 doors, arising and vanishing rapidly trillion times per second.

And the only way to see the truth is listen to the Buddha.

The Buddha is the only one who can understand Abhidhamma by seeing realities on every lives himself and has enough abilities to tell people to enlighten follow him.

He see the trillion moments per second of Nama and Rupa by himself and he know how can see like that on every past and future lives as Nama and Rupa by his 3 and 8 Vijja, especially VipassanaNanaVijja, at his enlightened night.

He can understand why the reincarnation still going on because of analyzing Nama and Rupa by CutupapataNana as dependent origination (Paticcasamuppada).

The world never has one like him before for long long time.

Don't think only listening is enough. The reader maybe understand while reading, but most of them don't know how to meditate and analysis everything as Nama and Rupa in the dependent origination cycling in the real entire life. That's why we need to meditate both concentration meditation and insight meditation with the tipitaka memorizer like Pa-Auk tawya.

The left analysis means uncountable left unwholesome mind moments.