The enchanting charms of this sublime science [mathematics] reveal themselves in all their beauty only to those who have the courage to go deeply into it.
Many who have never had an opportunity of knowing any more about mathematics confound it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination, and one of the leading mathematicians of our century states the case quite correctly when he says that it is impossible to be a mathematician without being a poet in soul.
— Sofia Vasilyevna Kovalevskaya*
No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.
— David Hilbert*
How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?
— Albert Einstein*
It is difficult to avoid the impression that a miracle confronts us here, quite comparable in its striking nature to the miracle that the human mind can string a thousand arguments together without getting itself into contradictions, or to the two miracles of laws of nature and of the human mind's capacity to divine them.
— Eugene Wigner*
Consciousness is fundamental to life. All speech, action, and behavior are fluctuations of consciousness. The whole universe is the expression of consciousness. The reality of the universe is one unbounded ocean of consciousness in motion. Since consciousness is the most basic element of everyone's life, knowledge of consciousness is the most basic requirement for everyone to exist consciously and intelligently and enjoy full, unbounded potential of life, with maximum success in all fields of personal and professional life.
— Maharishi Mahesh Yogi*
What most common and popular models about consciousness have in common is the postulate that physical activity in the brain is prior to consciousness. But no current theory has been able to resolve the problem of how physical processes in the brain give rise to subjective experiences. Even the quantum mechanical theories, while suggesting potential mechanisms that might create unexplainable phenomena, fall short of answering the fundamental questions about the subjective aspect of any experience — the awareness …
Consciousness At Work
It is challenging to study "consciousness" in and by itself. However, it may be easier to study "consciousness at work" — its dynamics and its manifestations. The Journal takes this position. In particular, it takes the position that postulates about consciousness as an abstract phenomenon or epiphenomenon are most amenable to investigation by scientifically analyzing and studying "consciousness at work."
The ways in which human beings explore and express …
Is Consciousness All There Is?
The primary postulate in Tony Nader's paper Consciousness is All There Is: A Mathematical Approach is that, quite simply, consciousness is all there is, thus reversing the customary paradigm of modern science that matter is all there is. After a discussion of this postulate, the paper proposes placing it in a mathematical framework by introducing fundamental axioms that are motivated by the experience and dynamics of consciousness.
The reasonableness of these axioms and the accompanying …
© 2015 International Journal of Mathematics and Consciousness.