Since the junior schooldays, the editor has been crazy about mathematics. The first subject impressed him most is Geometry, especially in proving geometrical equivalence with constructional method. From there, he has been trained up with diversified ways of creative thinking - some rational and some "irrational". Most of these strange thoughts turned out to fall in the deep sea. But till now, there are still quite a few left worth our readers' criticism. Many years ago at the age about 15, the editor thought that he was already quite capable of playing around with most mathematical gimmicks, a little bit of Trigonometry, Probability, Algebra and Calculus...differentiation, integration, curvilinear motion, variational methods, Taylor's Formula, etc. At an instance, he got an inception from the shortcoming of Complex Number System. From there, a new number system came into being, so called ...
So-called Number System
In the introduction page when the editor first developed the new theory, he wrote, "The So-called Number System is quite a mysterious and challenging term which is purposely named. You will certainly have some strange feelings when you first see these wordings. It is my own intention, however, to give you a thorough concept of complex numbers and even more than these."
He continued, "The definition of complex numbers laid down by most mathematics text books are not absolutely convincing, for example, they consider the subject of imaginary numbers to be the study of i (√-1) without any solid reasoning. Is it the only number that is related to the entire unreal? Of course not! They do not explain clearly why they conclude all complex numbers to be in the form of x+yi. It always makes new learners having a wrong impression that numbers are bounded to be in form of x+yi where x & y are real numbers. Furthermore, numbers such as log 0 and 1/0 are asserted to be indefinable. What does 'indefinable' mean? In the world of pure mathematics and science, it is unacceptable to neglect the importance of the existence of such numbers. Do you agree? Why not we include these types of 'so-called' numbers into a wider category over the traditional Complex Number System and name it as the unprecedented So-called Number System."
He added, "We cannot assure that numbers in every nature must be correlated to or expressed in any particular common numerical form with no exception. Undeniably, the existence of those indefinable does create violations to common logics and invalidate traditional theories whenever included in any mathematical forms. But we are sure that they do at least exist and share the same timeline at the time they are used in any kind of expression or operation." From there, several associated theorems were developed and cross-verified to include the add-on characteristics of this new number system. In connection with its extended implications, what we concern is more than just a mathematical theory but also the unprecedented Yuen Hue Theory.
Yuen Hue Theory
The number system and universal logics collectively construct the conceptual skeleton of the world. In synonymy with the complex and indefinable number subsystems, the world in its existence can be considered in two seemingly exclusive states, the complex State of Certainty and the indefinable State of Uncertainty. What is Yuen Hue Theory (玄虛論)? Consisting of 3 main parts written in English, it is a piece of philosophical work exploring to the very depth of the truth ...
Deliberately, the editor makes use of two popular words adopted by Chinese philosophers, “Yuen (玄)” and “Hue (虛)” in the naming of the theory. Here, “Yuen” can be interpreted as full of mysteries and hidden truths while “Hue” can be interpreted as unknown and out of reach. Other than the built-up analytical skills, this theory has really demanded the editor an exhaustive amount of abstract thinking and extensive ways of imaginations. Also, he has been particularly cautious in evading indubitable believes even in proven scientific findings which may result in omitting unrevealed possibilities from our outreached intelligence. As the eighteenth century philosopher Joseph Joubert once said, “It is better to debate a question without settling it than to settle a question without debating it.” ...
Due to the fact that Part 3 of this theory, "Yuen in Hue (虛中有玄)" has been pending for years with the write-up just finished and under revision, the editor apologies that now is still not the right time for publication. It remains his intention to wrap the theory up with the elaboration of the three controversial World Scenarios (God's World, The World, My World) and append in its final part, articles with his own view on some debatable ethical topics, namely, Values of Life, Right and Wrong, Luck and Fate ...
Luck and Fate Theory
In recent years, the editor has spent some time in re-studying certain controversial topics that have been challenging the wisdom of mankind. With the valuable ideas input by Mr. Thomas Chan, university schoolmate of the editor, a new theory on the topic of luck and fate was developed. Mr. Chan has specialized in the areas of Chinese philosophies, especially pseudoscience such as Suan Ming 算命 and Feng Shui 風水. Rather than reiterating the topic very much on the traditional Chinese metaphysics玄學, the editor has adopted a more rational approach.
Scientifically speaking, the outcome of every event is determined by all physical laws, including pre-planned actions of the involved elements and influence of the environmental factors during the processes. These environmental factors are hardly controllable in any aspect. Instead of resolving those complicated environmental factors during the processes of an event, "luck" turns out to be rather a unique but conclusively weighted substitute in determining the chance of each outcome of the event, with the focus translated causally from processes to participants. In this sense, luck is more meaningful than merely a post-event measure on outcome against expectation ...
Luck, however, cannot override physical laws and change logics. Basically, the less uncertain environmental factors around, the less significant will be the impact of luck. Regardless of the "consolidated luck" impact, the success of a gaming event still depends very much on the strength factors, composed of the players’ talent, the knowledge about the opponents and the gaming strategy. The probability of any possible outcome thus depends on its strength factors over the others and the relative magnitudes of luck at particular time and venue for particular event. To start analysis, the editor has defined a scaler term called luck multiplier applied to the strength factor of each element carried along by the participants ...
Further in this theory, the editor has translated the intangible personal luck and stageable fate into some mathematical terms. More interesting is the correlation found between the "volatile" luck and the "prescribed" fate. These formulae are, however, still far from completeness, waited to be further tested and consolidated with factual data.
Meanwhile, the editor would like to share with you something else written up in Chinese (the native language) since his youth days.
