Pūrṇam adaḥ pūrṇam idam (That is full, this is full) pūrṇāt pūrṇam udacyate (From the full, the full is subtracted) pūrṇasya pūrṇam ādāya (When the full is taken from the full) pūrṇam evāvasiṣyate (The full still will remain. ) - Isha Upanishad The essence of this verse is that the Infinite cannot be measured arithmetically - God is Infinite. The Infinite can be represented in Infinite ways and does manifest in infinite ways.

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  • Pūrṇam adaḥ pūrṇam idam (That is full, this is full) pūrṇāt pūrṇam udacyate (From the full, the full is subtracted) pūrṇasya pūrṇam ādāya (When the full is taken from the full) pūrṇam evāvasiṣyate (The full still will remain. ) - Isha Upanishad The essence of this verse is that the Infinite cannot be measured arithmetically - God is Infinite. The Infinite can be represented in Infinite ways and does manifest in infinite ways. The Indian mathematical text Surya Prajnapti classifies all numbers into three sets: enumerable, innumerable, and infinite. Each of these was further subdivided into three orders: * Enumerable: lowest, intermediate and highest Innumerable: nearly innumerable, truly innumerable and innumerably innumerable Infinite: nearly infinite, truly infinite, infinitely infinite The Jains were the first to discard the idea that all infinites were the same or equal. They recognized different types of infinities: infinite in length, infinite in area (two dimensions), infinite in volume (three dimensions), and infinite perpetually (infinite number of dimensions). According to Singh (1987), Joseph (2000) and Agrawal (2000), the highest enumerable number N of the Jains corresponds to the modern concept of aleph-null <math>\aleph_0</math> (the cardinal number of the infinite set of integers 1, 2, ... ), the smallest cardinal transfinite number. The Jains also defined a whole system of infinite cardinal numbers, of which the highest enumerable number N is the smallest. In the Jaina work on the theory of sets, two basic types of infinite numbers are distinguished. On both physical and ontological grounds, a distinction was made between asaṃkhyāta ("countless, innumerable") and ananta ("endless, unlimited"), between rigidly bounded and loosely bounded infinities.
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  • Pūrṇam adaḥ pūrṇam idam (That is full, this is full) pūrṇāt pūrṇam udacyate (From the full, the full is subtracted) pūrṇasya pūrṇam ādāya (When the full is taken from the full) pūrṇam evāvasiṣyate (The full still will remain. ) - Isha Upanishad The essence of this verse is that the Infinite cannot be measured arithmetically - God is Infinite. The Infinite can be represented in Infinite ways and does manifest in infinite ways.
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  • Infinity (philosophy)
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