On Cardinal Numbers and Self Adjusting M−sets. A Mathematical Letter.

Jyothiniranjan Pillay (1, 2, 3)

1 Institute of Actuaries Scotland
2 SAIP - South African Institute of Physics
3 University of Pretoria [South Africa]

This is a technical letter where we outline certain considerations involving cardinal numbers. Notations and terminology follow similarly from our previous article[1]. The mechanistic approach to the logical development of arithmetic in our previous article had proven so useful, that we wish here to extend its application to cardinality. Our Approach involves a mechanistic approach similar to that of our previous article with no reference to formal set theory[2].

Mots clés: Cardinality; Continuum Hypothesis

Domaines: Mathématiques générales [math.GM]

Jyothiniranjan Pillay. On Cardinal Numbers and Self Adjusting M−sets. A Mathematical Letter.. 2012. ⟨hal-00661983v4⟩