References : The Shāntī Pāth & Cantor’s Infinities
[1] ‘The Principal Upanishads’ by S.Radhakrishnan – 1992 (Centenary Ed.) Oxford Press
[2] ‘Isavasya Upanishad’ by Swami Chinmayananda – The Chinmaya Pub. Trust, Madras
[3] ‘Sixty Upanishads of the Vedas’ translated from german – Motilal B.Das 1995
[4] ‘Kalātattvakośa’ – Vol. II by IGNCA & Motilal B. Das
[5] pUNa- Ä pUr + @t ¸ ‘pUr’ Qaatu ka Aqa- hO – hr BaaMit sampnna haonaa yaaina ]sasao AiQak AaOr kuC nahIM hO.
‘@t’ p`%yaya hO [sa pUropna kao AaOr sambaaoiQat krto hue yah saaibat krta hO ik ‘PaUNa-‘ Sabd sao hmaara AiBap`aya hO
vah – jaao AiQak sao BaI A%ya AiQak hO – Aqaa-t Anant yaa Apirimat yaa AsaIma hO
[7] ‘Fractals – Images of Chaos’ P.24 , by Hans Lauwerier, Penguin 1991
[8] It is important for the lay reader to understand the etymology of numbers – ‘integer’, ‘natural’, ‘real’, ‘fractions’, ‘rational’ and ‘irrational’. As we will see later – language in itself is a dimension akin to numbers and the precision is important to grasp higher concepts.
[9] An elaborate scheme of ‘constructing real numbers’ is given in Chap.3 –The Unnameable of “Infinity & The Mind” by Rudy Rucker
[10] In fact what this proves is – א0 x א0 = א0, in words it means that we may multiply a ‘countably inifinite’ number by as large a countable number as we like, we will still get a product that belongs to a set that is ‘countably infinite’.
[11] See ‘Mind Tools’ [Chap.4 Infinity & Information] by Rudy Rucker, Penguin 1988
[12] See ‘The Edge of Infinity’ by Paul Davies, OUP 1983
[13] P.433 Vol II , ‘Kalātattvakośa’ by IGNCA & Motilal B. Das publishers
[14] See ‘A Treatise on Heat’ by Saha and Srivastava – The Indian Press, Allahabad 1965
[15] ibid. – From pages 527 to 547 Planck’s theory of discretisation of light energy is unfolded – an excellent mathematical physics of the theories leading upto Planck’s Law.
[16] Chap.6 ‘Bohr Model of the Atom’ – ‘Perspectives of Modern Physics’ by Arthur Beiser, McGraw Hill (Kogakusha) 1969