Is Math a Science Essay

Upon arriving at this topic, I had antecedently been asked a simple opinionated question, is maths is a scientific discipline, an prowess, or a philosophy. I thought to myself, well of course all three. mathematics is for the about p maneuver drill (at least what people see) is a science adding, subtracting, multiplying, dividing, differentiating, integrating, etc. These argon all very well defined operations which, for the to the highest degree p device, strike very algorithmic solution methods. The art comes in the produces. Typi makey, when formulating a proof youre not given anywhere to start and so, just equivalent in art, practice makes perfect. Also, when writing theorems this serve is completely in snarf and the amount of creativity required is staggering. Just try drawing a conclusion from a set of fragmented, typi listy unrelated information (this doesnt even demonstrateer to be math related).The philosophy comes from concepts of infinity and more or less of set theory. A lot of early maths (after the Dark Age) were, for the virtually part, philosophers. They were fascinated by how more or lessthing so simple as maths could case something so abstract and complicated as nature, and yet could itself become as abstract as to not be visualize-able by humans (infinite, dimensions great than 3, etc.) So it is all three, although rargonly is it simultaneously all three. One of these normally dominates while working with math at any unrivalled time. scarcely on that point lease been points in history where all three of coincided and it is some of the most mind-boggling and beautiful work youll ever see.But it had got me persuasion after taking this course that is math really a science, an art, or a philosophy, though for more thought out reasons. Having an art scope and studying art history front and back, I came to the idea that mathematics and art go hand in hand. (And now knowing this, I have a stronger connection as to wherefore math would be considered an art compared to a chemical engineer who would be more podecadetial to lean towards a more scientifical view of mathematics).Math and art have quite a long, historical relationship. The antediluvian Egyptians and the ancient Greeks knew about the favorable ration, regarded and an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid, the Parthenon, and the Colosseum. There are many examples of artists who have been inspired by mathematics and have examine mathematics as a means of complementing their works. The Greek sculptor Polykleitos irrefutable a series of mathematical proportions for carving the ideal male nude. rebirth painters turned to mathematics and many, including Piero della Francesca, became accomplished mathematicians themselves.Even give ear at Galileo Galilei, he wrote that the universe is written in the language of mathematics, and that its characters are triangles, circles, and other geometrical figures. On the other hand, mathematicians have sought to interpret and analyze art through the lens of geometry and rationality. All of this made me realize that this all had to do with algorithms. Algorithms had to fit into the mathematical relation with art which then got me to the concept of algorithmic art. Algorithmic art, also known as algorithm art, is visual art explicitly generated by an algorithm. It is a subset of generative art, and is practically invariably kill by a computer. If executed by a computer, it is also classed as computer-generated art typically, this is usually categorized as digital art. Fractal art and equating art are both subsets of algorithmic art.For a work of art to be considered algorithmic art, its creation must allow a process based on an algorithm devised by the artist. Here, an algorithm is simply a detailed recipe for the design and possibly execution of an ar iirk, which whitethorn include computer code, functions, expres sions, or other input which ultimately determines the form the art entrust take. This input may be mathematical, computational, or generative in nature. Inasmuch as algorithms tend to be deterministic, meaning that their repeated execution would always result in the production of identical artworks, some external compute is usually introduced. This can from each one be a random payoff generator of some sort, or an external body of data (which, I found, can range from recorded heartbeats to frames of a movie.) Some artists also work with organically based gestural input which is then modified by an algorithm.By this definition, algorithmic art is not to be confused with graphical methods such as generating a fractal out of a fractal program it is inevitably concerned with the human factor (ones own algorithm, and not one that is pre-set in a package). The artist must be concerned with the most appropriate expression for their idea, just as a painter would be most concerned wit h the best application of colors. By this definition, defaulting to something like a fractal generator (and using it for all or most of your creations) would in center field be letting the computer dictate the form of the final work, and not truly be a creative art. The artists successful algorithms are an integral part of the authorship, as well as universe a medium through which their ideas are conveyed.Though, after delving into the fact that math is and can be very well classified as an art, I do strongly agree that math is a science because I think that math can be considered a science if you look at it from the right perspective. Lets guess you have a hypothesis (imagine you are Fermat or Pythagoras). How would you prove that you were right? You would do an audition (the proof) and arrive at a conclusion. This is the scientific method, and it does fit how mathematics is done. sometimes it takes a while to do enough experiments to prove your theory.For one, I all the same cannot think of mathematics as undefiledly a science the two are fundamentally different in a very all-important(a) aspect in science we have to look at verity and then give explanations, usually enlisting the aid of mathematics as a coherent language in which to frame our explanations, but mathematics is done in many other situations beyond science. Pure mathematicians are sometimes proud to claim how useless their discoveries are. In science we experiment. We go into the real world, observe phenomena, go back to the drawing table, and try to develop these phenomena. Then we go back out to the world, see if we can auspicate a new phenomenon before it happens (when we can do that we usually say that we have discovered a fundamental law of nature), and either smugly rest for the day, or crawl back to the drawing table, just about disappointed if our hypothesis did not work as we intended.This, in general, is what we call the scientific method. Mathematics is different. Though I do agree that mathematics is becoming an experimental discipline, particularly with the recent introduction of powerful reason machines, it does not rely on these experiments in order to claim constantan I have discovered a new truth Mathematics requires proof, and its very picky about what it considers proof to be. For a scientist, ten experiments with consistent results might constitute proof, within experimental error. For a mathematician, a googolplex of successful experiments is not enough proof. Instead, we rely on logic, and this thing we call common sense, fundamental logical rules we believe no one will dispute, very basic rules.Mathematics is very often inspired by nature, but it is a purely intellectual pursuit. It is just a fortune of ideas in our heads, like philosophy. Unlike most of philosophy, there is some paste to it all, some fundamental unity, something we call logic, reason, order. Pure abstract reasoning. Thats why I sometimes like to say that mathematics is applied philosophy. school of thought under the influence of very specific rules. Then theres the aesthetics of it. The capacity of mathematics to be an art. This is one of my favorite interpretations. The virtuous simplistic beauty, the awe one can feel when one reads an entire proof and understands every aspect of it, when a surprising truth is found by unsurprising means this is a very personal experience, I think. You really have to feel it in the flesh to understand it. That garish of understanding when a complex problem has been solved. That simple marvel of seeing many unrelated ideas congregates under a single roof of logic and order. This is what spurs the most romantic of mathematicians to keep on trying to prove that ancient conjecture.Personally, as it turns out, I do not think that anyone will really know what math really is. There may be a myriad of ways of how math can be classified, whether it is an art, a science or a philosophy. There will always be opinion s for and against each concept. But as for me, my heart solely believes that math can be absolutely any of the three concepts above. I feel that maybe there are many ignorant people who do not business organization enough to be open minded to the fact that mathematics may in fact be all three. Who knows, I may have an opinion that can be completely inaccurate, but it wouldnt be an opinion if it could be proved wrong.