“…THE HARD CORE OF A NEW MRP (2) The construction of a theory of Cantorian transfinite numbers (from now on I shall drop the 'Cantorian' from the epression 'Cantorian transfinite numbers') was, right from the start, at the very heart of Cantor's work in set theory. According to Hallett, once Cantor discovered that there were subsets of the real line which were infinite, and which had a different size (or numerosity) from one another, he formulated the problem of the continuum: 23 . .…”