The Mathematical Probability of Miracles


Many would argue that miracles have a 1:1,000,000 (1 to 1 million) ratio, and others whom are more conservative would argue that miracles have a 1:1,000,000,000 (1 to 1 billion) ratio, meaning for every 1 miracle, 1,000,000,000 (1 billion) events occur without a miracle. 1 in 1,000,000,000 (1 billion) sounds astronomically high, as on the entire planet there are only 8,100,000,000 (8.1 billion) human beings, but if a person draws 6 cards from a standard deck of cards, whatever sequence they draw has a 1:14,000,000,000 (1 in 14 billion) chance of occurring. Because of this, one could argue that every hand of cards drawn is a miracle and not a random act of chance. This logic applies to all randomized items or numerical values (e.g. first 6 digits of a Social Insurance Number or last 6 digits of a phone number etc.). What humans refer to as a “miracle” is often merely a statistical anomaly, an event with low probability, but not impossibility, something which is guaranteed to occur given enough repetitions are made. The sheer volume of possible outcomes virtually guarantees that rare patterns will emerge eventually, not because they are miraculous, but because the mathematics demand it be so

The Reason Giants Cannot Physically Exist Upon Earth

If volume and weight are both calculated as 1 unit, when a cube is made 1 x 1 x 1 when accounting for its length, width, and height, and 1 when accounting for its weight, the entire cube is in equal proportion; a concept referred to as a “unit cube” called as such because each of its dimensions (e.g. height, width, length etc.) are 1 unit in length. This changes however when doubling the cube in size and weight. When doubling the cube to 2 x 2 x 2 when accounting for its length, width, and height, the weight does not move in lockstep, because it becomes 8x (2 x 2 = 4 x 2 = 8). This fundamental mathematical principle referred to as the Square Cube Law, explains why as animals become bigger on land, life becomes exceedingly difficult because of the need to maintain and support the large weight associated with such large stature. As animals become more massive, the effect of gravity places an increasing role in their lives. The shape and form of the body is forced to change. Bones become more massive to scaffold their large bodies. This is why the largest animals on the planet are found within the Earth’s oceans as being within water is a way to circumvent this outcome and helps explain why as animals become larger upon land, life becomes exceedingly difficult because of the need to maintain an appropriate structure and weight associated with such large sizes. This principle also explains why the concept of a giant (e.g. mythology etc.) is physically problematic as if a human being were scaled up proportionally to twice their normal height, their volume and weight would increase 8x, whilst the strength of their bones and muscles would not scale at this same rate. The result would be a life form whose own mass would overwhelm its skeletal structure, making movement, balance, and even basic survival virtually impossible without some form of environmental and/or structural intervention and compensation

The Influence of Genghis Khan Throughout Asia and Europe During the 13th Century

Mongolian Khagan, which means “Khan Of Khans” or “king of kings” within Mongol Khel, the Mongolian language, perhaps more commonly translated as “emperor”, Temüjin Borjigi who is more well renowned for his title than his name, a title which is often mistaken for his name, Genghis Khan (pronounced “jeng-giss” with “jeng” sounding like “Jenga” and “giss” sounding like “kiss” with a hard “s”) killed over 40,000,000 (40 million) people during his reign as the Mongolia Khagan. This staggering death toll was the result of widespread military campaigns launched across Asia and Eastern Europe, in which entire cities were systematically destroyed. These conquests led to the formation of the Mongol Empire, the largest contiguous land empire in history. Borjigi’s various strategies (e.g. psychological warfare, mass executions, scorched Earth tactic for villages encountered etc.) helped reshape the geopolitical landscape of the east and west during the 13th century, turning Mongolia into the centralized power of the period. Despite this brutality, Borjigi’s legacy also included positive benefits (e.g. advancements in trade, advancements in communication, advancements in governance etc.), systems which went on to direct future empires. Borjigi’s advancements included the promotion of the Silk Road trade network, the creation of a postal relay system reaching across vast distances of territory, and the implementation of merit based leadership over blood ties, ideas which fostered connectivity and administrative efficiency throughout the empire. Additionally, Borjigi unified multiple warring tribes and enforced legislation which highlighted and punished corruption when exposed. Borjigi’s empire was not solely predicated upon conquest however, as his ideas also helped maintain control, structure, and cohesion within its vision for a constantly expanding empire, something extremely difficult to successfully accomplish. The way the Borjigin dynasty governed, most especially its methods of organizing logistics, enforcing legislation, and leading people, continues to echo within the frameworks of modern governments during the modern day via foundational principles which continue to shape how states manage infrastructure, enforce law and order, and mobilize populations. From the codification of legal frameworks to the strategic coordination of supply chains and communication networks, the Borjigin dynasty laid legacy groundwork capable of transcending its period of use and relevance. Because of this, Borjigin not only drew up and rearranged world borders, he changed how empires think and act as they expand outward

The Advent of the Ancient Egyptian Clepsydra (Water Clock)

The Clepsydra (pronounced “clep-see-drah”), more commonly referred to as the “water clock”, was among the earliest technological devices engineered for measuring time, predating mechanical clocks by over a millennia. The earliest known example of a clepsydra is from Ancient Egypt, constructed close to 1400 B.C., and attributed to an Egyptian court official named “Amenemhet” (pronounced “ah-men-ehm-het”). Clepsydra clocks operated using 1 of 2 primary designs; which includes both outflow and inflow setups. In an outflow clepsydra, water exited the chamber container through a small hole at the bottom, and the measurement of time was tracked by the continually lowered water level which was measured against internal markings. Inflow clepsydras reversed this design setup with water entering a marked container vessel, and the continually rising water level indicating the amount of time which had elapsed. The main challenge of the inflow and outflow designs was maintaining a consistent flow rate of water because as water drained, pressure dropped which slowed the drip rate and skewed the clocks accuracy. Ancient Greek engineer Ctesibius (pronounced “teh-sib-ee-us”) addressed this problem by introducing an overflow tank with a fixed water level, ensuring constant pressure and uniform water flow at all times. Ctesibius also added a float regulated valve system, an early feedback mechanism designed to stabilize inflow of water and prevent overflow, much the same as the float controlled fill valve (e.g. ballcock, float cup valve, diaphragm type inlet valve etc.) installed within toilets during the modern day. Subsequent future cepsydra designs implemented gears and escape mechanisms to convert water movement into mechanical energy/motion. Chinese engineers expanded further upon the concept of the clepsydra by introducing polyvascular systems, in which water flowed through multiple containment vessels in an effort to better regulate timing intervals. These innovations permitted water clocks to function independently of sunlight unlike sundials, the prevailing time keeping technology throughout history, and laid the foundation for regulated mechanical timekeeping which proceeded it. Despite limitations (e.g. temperature dependent viscosity, leakage and evaporation, the need for constant manual maintenance by human beings etc.), clepsydras remained in use for centuries and were the first controlled, replicable timekeeping systems in history only falling out of fashion during the late Middle Ages due to the ascendency of mechanical, pendulum and gear based clocks

The Period When Human Begins Developed a Throw Away Cultural Mindset

Human beings have arguably been a throw away culture, or at the very least mindset and culture, since 1892 when bottle caps were first introduced. The trend has become more and more prevalent to the point where we now replace an entire transmission rather than a gasket. This shift reflects the rise of planned obsolescence, in which products are intentionally designed to have limited lifespans and/or be extremely difficult or expensive to repair. As manufacturing has become cheaper and mass production more efficient, the economic incentive to discard and replace overtook the values of maintenance and longevity. In all industries (eg. electronics, automotive, fashion etc.), repair has been sidelined in favor of convenience and profit. The result is a global surge in waste, with millions of tons of usable materials ending up in landfills each year. Fortunately, there is an expanding movement advocating for the right to repair one’s own possessions which is now acting as a counterbalance to this disposable mindset

The Anthropomorphism of Satan

Early Christians did not personify Satan, in fact it was not until the Medieval period that Satan became anthropomorphized into the image which is commonly understood during the modern day (e.g. red skin, horned head, tail etc.). Initially, Satan was predicated upon pagan mythological figures who Christian’s then viewed as demons and/or part of a larger demonic evil outside the boundaries of Christianity. Prior to this, there was no consensus among artists and theologians as to how Satan should be depicted within religious artwork. Often throughout history, Satan has been illustrated as a blue angel, a male figure with blue skin and white hair. The color blue was chosen as it is symbolic of the night and the unknown, adding emotional and spiritual ambiguity, intended to inspire fear not through grotesquery but rather through an uncanny yet elegant emulation. In addition to this portrayal, Satan has also been represented as a figure with 3 goats, designed as a direct counter balance to Jesus Christ who is often portrayed within religious artwork in possession of 3 lambs which represent humanity. More specifically these 3 lambs represent purity, sacrifice, and redemption. In contrast to this, the 3 goats of Satan were meant to represent demonic entities, more specifically rebellion, deception, and spiritual corruption. This triadic symbolism was intentional as it created a theological and visual counter weight for Christ, casting Satan not only as the antithesis of Christ, but as a distorted reflection of him within the mirror of divine structure and purpose

The Origin of Google’s Name

Google’s original name was “BackRub”, a reference to its early algorithm which analyzed backlinks to assess their importance. Backlinks are the hyperlinks pointing to webpages on the internet (e.g. navigation from one website to another etc.). Developed at Stanford University in 1996 by Larry Page and Sergey Brin, BackRub laid the foundation for PageRank, the ranking system which would later power the Google search engine. As the project matured, Page and Brin began to recognize and understand that the name BackRub did not reflect the vast scope of their ambitions for the company as the duo wanted a name that could capture the enormity of the data their engine could and eventually would process. This is why the name “Google” was chosen in 1997. Interestingly, during a domain search for “googol.com”, a mathematical term which represents 10¹⁰⁰ (10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 or 1 with 100 0’s after it) the friend who registered the domain name for Page and Brin accidentally typed “google.com” instead of “googol.com”. Originally this was an error but Page and Brin believed the misspelling to be simpler, more memorable, and visually cleaner therefore deciding to keep the name as it was

How Credit Scores Work Within North America

Credit is a complex issue, influenced not only by individual financial behavior but also by institutional frameworks, socioeconomic conditions, and evolving market dynamics that shape how credit is accessed, evaluated, and/or sustained. 35% of ones credit score is due to payment history; paying on time is crucial to having and maintaining a healthy credit score. 30% of ones credit score is due to what they owe, primarily in relation to how much credit they have and how much credit they owe (eg. allotted $25,000 and used $20,000). Going over 30% of ones allotted credit is a red flag for creditors and lowers ones score. 15% of ones credit score is due to the length of time in which the person has had some form of credit which is why it’s important to start and build up credit early in adult life. 10% of ones credit score is due to how many times credit was opened; multiple openings or inquiries in a short period may signal risk but repeated openings of new credit or repeated attempted openings of new credit shows that the person in question constantly requires more and more credit and is at a higher risk to not be able to pay back a loan. Finally, 10% of one’s credit score is due to what kind of credit they have. Having a balanced credit history of vehicle loans, student loans, mortgage loans, and credit card loans is more favorable than having only a single credit card loan all by itself as it shows the ability to manage diverse credit types

The View of the Birthday Within Ancient Rome

In Ancient Rome, birthdays referred to as “dies natalis” which means “day of birth” in Latin, were deeply personal and spiritual occasions. Far from the cake and candle rituals of the modern day, the Ancient Romans viewed birthdays as a time to honor their genius, for men, or juno, for women. The genius and juno were guardian spirits believed to guide and protect a person throughout their life. These divine entities were believed to be intrinsically tied to one’s fate, character, and destiny which is why they were revered. The Ancient Romans made offerings on their birthday to their guardian spirit (e.g. wine, incense, small cakes etc.). These rituals were performed at home, sometimes accompanied by prayers or dedications at small residential shrines. For those with wealth or higher status, birthday observances could include more elaborate ceremonies (e.g. feasts with reclining guests, music, gift giving etc.). Even with these additions however, the spiritual aspect of the holiday remained central regardless of class

The Origin of Uppercase and Lowercase Letters and the Influence of Typesetting Upon the English Language

The term “uppercase” and “lowercase” in relation to alphabet letters was derived during the Victorian period within England. Advertising was highly prominent during the 19th century and used ubiquitously by businesses. The poster makers who would serve these businesses would use letters which were essentially stamps, dipped into thick, viscous, oily ink, specifically formulated this way to cling to and transfer cleanly onto coarse paper which was designed to be rough so that it could absorb as much ink as possible. Compositors, which was the name for this particular vocation during the 19th century, would keep their letters in a type case with large letters at the top and small letters at the bottom. The letters were kept in what was effectively a suitcase which did not close which is where the terms “uppercase” and “lowercase” originated from, as the letters were stored in either the upper portion of the type case or the lower portion of the type case. Each individual letter, a block referred to as a “sort”, was cast in metal and crafted backward to be arranged by hand by a skilled craftsperson. The layout of the case, with capital letters in the upper section and lowercase letters in the bottom, was highly pragmatic, as it positioned the most often used letters at the bottom closer to the person setting the typeset. Interestingly, this pragmatism influenced the English language as compositors not only set letters, they also selected when to use punctuation, spacing, and line breaks, all of which shaped how text was read and understood. Because movable type requires physical pieces for every character used, punctuation was to be used deliberately as too many commas, colons, em dashes etc. meant more time spent, more metal used, and more space being taken up upon the page. This physical constraint helped standardize English punctuation use and even influenced sentence structure, encouraging clarity and economy in writing which are themes that have endured into the 21st century