Continuum Hypothesis Higher Infinity and Human Consciousness

Abstract

When Centor proved that all infinities not equal completely New Era in logic and in mathematics opened. It is proved that there are more real numbers than natural numbers and there cannot be a maximum set in mathematics. If we take the power set of a given set then it always contains more members than the set itself. In this way there is no and infinities. There cannot be a collection which can be called the highest or maximum collection. This is also a limit of human reasoning because it appears in the form that if it is believed that the continuum hypothesis is true then it also works. And if we believe that the continuum hypothesis is false then it also works. Actually, Godel and Cohen proved that both continuum hypothesis and its negation can be proved as independent from the rest of the axioms of set theory. Since 1963 this is an unsolved problem in mathematical logic. Very recently the famous mathematical logician hugh woodin proved a result in which there is a particular type of model in which the continuum hypothesis is false. In our Upnishada Anant is called the Swarooplakshan of Brahma. If Anant is to be taken seriously when merely on the ground of intellect infinity cannot be grasped. We have repeatedly observed in Upnishada that true infinity can be obtained only in the state of liberation and mathematical infinity is not true infinity which can be assigned to ultimate reality or Brahma. There is a future scope of research in this direction where particularly from Taitiriya Upnishad where Satya, Gyan and Anant are stated as Swarooplakshan of Brahma. This new science of consciousness can be developed. Only Brahma is infinite in the absolute sense of the term and all other infinities which occur in logic and mathematics are relative infinities and so they cannot be the characteristic of reality.