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The mission statement embodies certain beliefs about the management culture of the organization, which can be examined and placed within underlying theoretical contexts. This chapter examines postmodernism in this respect, which, in addition to forming a critique of modernist approaches, posits alternative views about philosophy, organization and… (More)

- J. Pillay
- 2013

We introduce number theoretic systems for use in the study of subsets associated with the reals via its association with fractional portions of real numbers. Our techniques will then highlight properties associated with such fractionals that render these as part of the reals. We will then show that subsets of such fractionals can be formed, and finally we… (More)

- J Pillay
- 2013

The continuum hypothesis (CH) is one of and if not the most important open problems in set theory, one that is important for both mathematical and philosophical reasons. The general problem is determining whether there is an infinite set of real numbers that cannot be put into one-to-one correspondence with the natural numbers or be put into one-to-one… (More)

- J I Pillay
- 2012

A recent development in the theory of M-sets has paved a new means of an approach to CH. Here we further clarify the theory and form part two of our previous paper[P]. The set B i will be used to represent binary numbers. A set of positions associated with a one symbol we will denote by pos Elements of pos we will denote by p(1) j. Sets of transformations T… (More)

- J. I. Pillay
- 2012

Introduction 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… (More)

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