Intuitive set theory

The Essence of Intuitive Set Theory

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The Value of the Intuition ( on an Intuitive Set Theory

Title: Fernán: The value of the intuition (On an intuitive set theory without antinomies). Hereby it is presented a new set theory (generalized as the so-called system theory, fully respectful with the dictates of intuition (including the existence and numerability of the universal set, of which all beings are elements) and capable to overcome all the logical difficulties that forced logicians ...

Internal Set Theory and an Intuitive Development of the Calculus

In this paper, we present Internal Set Theory (IST) as a means to more intuitively develop mathematics while still maintaining complete rigor. We begin by stating the axioms of IST and demonstrating several of their central consequences. We then use these results to rigorously introduce the notions of infinitesimal numbers and infinite closeness. Lastly, we develop the calculus in a nonstandard...

FUZZY SOFT SET THEORY AND ITS APPLICATIONS

In this work, we define a fuzzy soft set theory and its related properties. We then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

Descriptive Set Theory Descriptive Set Theory