Scientists have successfully landed a car-sized rover on Mars with the help of science and technology. Science, Technology, and Engineering have transformed the world with mathematics as its language. The physical world is said to have mathematical properties that science has only begun to decode in the past few decades. The stars with their constellation patterns, the symmetrical patterns of human body, the water waves produced when one throws a pebble inside a pond and the sound waves that are produced by a musical instrument, all have some mathematical relation deeply embedded in them. Mathematics is language defined by nature, sound properties, and human discoveries.
First of all, patterns in nature show the nature of mathematics. Whether they are spirals in cabbage, elliptical orbits of planets or patterns in cones and foliages of many evergreen trees, there is a pattern of mathematics in them. As observations and science have proven, again and again, the existence of Fibonacci sequence as a number pattern in nature. When one starts with one plus one and keeps adding the preceding numbers, they are bound to find what mathematics defines as “Fibonacci sequence” named after a mathematician. Whether its “petal counts” or bottom of a pine cone, they all show mathematical patterns and Fibonacci sequence to some extent. Next, is the theory of “pi” or the numbers 3.14 (decimals) and 22/7 (fraction). This theory is a mathematical relation of patterns also found throughout nature. Whether the “colors of a rainbow” or the musical notes and chords, whether mountain peaks or water waves; the ratio between the circumference of the circular object and its diameter has been observed to be the number “pi” on all occasions. As experiments have shown when one takes a needle and drops it on a piece of paper with lines, “the probability that the needle cuts the line is approximate “2/pi”. The same may be said for a cannonball fired on a pirate ship battle during a Hollywood movie take. The probability that the cannonball might land on a certain part of the ship should be approximate “2/pi”. Then, there are constants in mathematics that constitute to “thirty-two numbers” used in several mathematical equations. To define these constants, one may take a digital photograph and count the number of pixels in that photo. One would clearly observe that there are constants of three colors in this pixelated photo. These color constants are red, green and blue. Furthermore, the elliptical orbits of planets around the sun as well as around themselves show mathematical relations. Interplanetary and Intraplanetary orbits are what makes us predict days in a calendar. If it weren’t for these relations, the accounting cycles, economics, and finance tied to the calendar would be unpredictable year after year. Even the patterns of geometry as showed by Plato’s shapes indicate mathematical relations. Hence, patterns in nature show the nature of mathematics.
Secondly, the sound and light properties also define mathematical relationships. Whether its scales and chords or frequency chart, Fibonacci sequence or the number pi is observed to be evident in these relations. The ratio between the chords of a vibrating string in a musical instrument is observed to be the number pi. In fact, these relations exist in probability theories as for the number pi and stocks as the Fibonacci sequence to some extent. The ratio of colors in a rainbow is observed to show the number “Pi”. Different light spectrum may also be observed to have some mathematical relation. Electromagnetic waves that travel at the speed of light also show mathematical relations. Hence, sound and light properties also define mathematical relationships.
Last but not least, human discoveries and inventions define mathematical relations. The law of falling bodies can be tied to the force of gravity where the speed of acceleration is directly proportional to object mass multiplied by gravity constant. One may say that the weight of an object has no relation to its acceleration due to gravity since air resistance is what makes their speed different. But at the same time, one may also prove that the mass of an object directly affects is acceleration due gravitational pull based on the formula a = mg (where the acceleration due to gravity is directly proportional to object mass times gravity constant). This relation may be further illustrated by calculating the time relation to acceleration in a cannonball moving across a flat and frictionless ramp. It is observed that “distance is directly proportional to the square of time” in this relation. These laws discovered by humans also have their applications in games and computer software. Programs and codes are written for a game and software clearly show mathematical relations. The greater than, equal to, constants all used in visual basic or HTML are all evidence of game programming. Electromagnetic waves that travel at the speed of light also have mathematical relations at an atomic level. The famous Einstein equation e equals mc^2, clearly shows that mathematical relation. The advantages of discovering these mathematical relations are in their applications. Television remote control and garage door openers are all a result of electromagnetic waves discovered by exploring the relation between electricity and magnetism in the form of mathematical relations. “Maxwell equations” that lead to the development of radio waves by “Marconi” ultimately saved many lives on the “Titanic”. These are the same mathematical relations in physics that lead to the discovery of “Higgs particle”. Hence, human discoveries and inventions define mathematical relations.
In conclusion, mathematics is language defined by nature, sound properties and human discoveries. It is not just humans that understand numbers but some animals and mammals as well. In a research experiment on Lemur’s in a Lemur sanctuary, it was demonstrated that Lemur’s used numbers and solved puzzles based on mathematical relations to get their food. But mathematics also has its limits and boundaries. The unpredictable weather forecasts, stock markets, human psychology, and biology are all subjects that indicate the boundaries of mathematics as a “domain of absolute”. These mathematical boundaries, as well as relations, may be explored through consumer products.