Om pUrNamadah pUrNamidam

Om pUrNamadah pUrNamidam pUrNAt pUrNamudachyate pUrNasya pUrNamAdAyapUrNamevAvashiShyateOm shAntih, shAntih, shAntihi

[Completeness is that, completeness is this,from completeness, completeness comes forth.Completeness from completeness taken away,completeness to completeness added,completeness alone remains.Peace, peace, peace!]

With our Vedantic knowledge, let us try to find out what the Infinite or Infinity is not or has not:
Infinity is unending. It never therefore began.
Infinity being boundless, it cannot have an outside. There is therefore no question of a second infinity. It is, therefore, one without a second.
Infinity therefore has no antonyms.
When there is no outside, no inside is warranted. So, infinity is without parts or contents.
When there are no parts, no separation is generated. Thus, infinity is spacelessness.
As space and time go hand in hand, infinity is timelessness too.
Infinity is thus fullness or completeness; nothing is there to add to it; nothing can be taken out from it; no outside agency can exist that can do the addition or subtraction!
Infinity alone remains.
Vedanta says that the experience of separation is an error and the multiplicity or duality generated thereby is non-real. The different entities objectified, including the limited me with all my internalizations, are mithyA. The seeming reality of duality is thus negated.
In contrast, mathematics, the first systematic language of ignorance, wants infinity to serve it as its house-maid while it does book-keeping for mithyA – the non-reality of finitude.(Madathil Nair)

http://www.advaitin.net/Discussion%20Topics/purnamadah%2520shanti-patha.pdf