Essay about The Nature of Mathematics

Essay about The Nature of Mathematics

Length: 1019 words (2.9 double-spaced pages)

Rating: Good Essays

Open Document

Essay Preview

The Nature of Mathematics

Mathematics relies on both logic and creativity, and it is pursued
both for a variety of practical purposes and for its basic interest.
The essence of mathematics lies in its beauty and its intellectual
challenge. This essay is divided into three sections, which are
patterns and relationships, mathematics, science and technology and
mathematical inquiry.

Firstly, Mathematics is the science of patterns and relationships. As
a theoretical order, mathematics explores the possible relationships
among abstractions without concern for whether those abstractions have
counterparts in the real world. The abstractions can be anything from
strings of numbers to geometric figures to sets of equations. In
deriving, for instance, an expression for the change in the surface
area of any regular solid as its volume approaches zero,
mathematicians have no interest in any correspondence between
geometric solids and physical objects in the real world.

A central line of investigation in theoretical mathematics is
identifying in each field of study a small set of basic ideas and
rules from which all other interesting ideas and rules in that field
can be logically deduced. Mathematicians are particularly pleased when
previously unrelated parts of mathematics are found to be derivable
from one another, or from some more general theory. Part of the sense
of beauty that many people have perceived in mathematics lies not in
finding the greatest richness or complexity but on the contrary, in
finding the greatest economy and simplicity of representation and
proof. As mathematics has progressed, more and more relationships have

... middle of paper ...

... that fit those rules, which includes inventing additional rules and
finding new connections between old rules.

In conclusion, the nature of mathematics is very unique and as we have
seen in can we applied everywhere in world. For example how do our
street light work with mathematical instructions? Our daily life is
full of mathematics, which also has many connections to nature.
Abstractions from nature are one the important element in mathematics.
Mathematics is a universal subject that has connections to many
different areas including nature.








Need Writing Help?

Get feedback on grammar, clarity, concision and logic instantly.

Check your paper »

Essay on Mathematics Is An Arduous Journey

- Mathematics is an arduous journey. It is cruel and exhausting. Mathematics, by its very nature, threw me hard problems that stressed me out. I would spend hours, days, even months solving one. For example, I spent two weeks teaching myself the computing program—Mathematica, because I was curious to see the accurate phase portraits after I learned the techniques that enabled me to sketch phase portraits in my Ordinary Differential Equation class. Nevertheless, sometimes I could not find any solution even though I had worked on it for a long time....   [tags: Mathematics, Applied mathematics]

Good Essays
1379 words (3.9 pages)

Importance Of Mathematics, Science And Technology Essay

- I believe that the growing role of mathematics, science and technology in modern life demands that we, for our active participation in society, personal satisfaction and our working development we should not only be able to read and write but also, have the skills and knowledge in these areas. Before doing the readings I thought that being scientific and mathematic literal was to be able to solve math and science problems. My opinion changed drastically after reading each article and book on my reference list....   [tags: Mathematics, Science, Scientific method]

Good Essays
1468 words (4.2 pages)

Essay on The Nature Of Scientific Reasoning

- The nature of scientific reasoning Science is quite a phenomenon in itself. It cannot be studied wholly and drop down on papers. Various great scientists have made a great contribution in the field of science. But the main question that arises is the scientists studied each and every piece of the puzzle in detail or were they made a guess assumption about the topic. No one can give the perfect answer to this question. As a photographic plate is exposed to get an image, scientists expose themselves to work and they on the spur of the moment develop a new formula for atomic energy....   [tags: Scientific method, Science, Theory, Mathematics]

Good Essays
721 words (2.1 pages)

Mathematics : Mathematical Reasoning And Logic Essay examples

- Introduction Mathematical reasoning that to nowadays represents more essential to said verbal reasoning, plays a fundamental role in the development of our life and the progress of humanity. Areas such as, physics, social sciences, management and computer science. But in computing, we need more of a particular branch of the so-called mathematics: discrete mathematics. Discrete mathematics has become popular thanks to their applications in computer science. Notations and concepts of discrete mathematics are used to study problems in algorithmic and programming....   [tags: Mathematics, Logic, Algorithm, Mathematical logic]

Good Essays
1013 words (2.9 pages)

Theory Of Knowledge : Mathematics Essay

- Kelsey Amadeo-Luyt Theory of Knowledge September 2, 2014 Prompt: To understand something you need to rely on your own experience and culture. Does that mean this it is impossible to have objective knowledge. As children we are immersed in our communities in which we are fed predisposed knowledge that has been passed down and developed within our communities or families for numerous generations. Not until we begin primary, or even secondary school do we start to formulate ideas and opinions of our own....   [tags: Logic, Mathematics, Axiom, Scientific method]

Good Essays
1084 words (3.1 pages)

Pythagoras and His Contributions to Modern Mathematics Essays

- Pythagoras is truly a man unlike any other throughout history. Perhaps his greatest achievements are within the realm of mathematics; with his greatest known theory being the Pythagorean Theorem. His theory is so well known that even today it peaks the interests of many mathematicians, with more than 400 proofs being spawned off of his original theorem. Though his theorem is common knowledge in this modern age, his life still remains a mystery to most, similar to most pre-Socratic philosophers....   [tags: Mathematics, Biography, Pythagorean Theorem]

Good Essays
1194 words (3.4 pages)

Essay on The Stage 4 Mathematics Unit Of Work ( Uow )

- The stage 4 mathematics Unit of Work (UoW) “Unit 10 Measurement, Length, Perimeter and Area” implements an array of concepts to aid the students to learn multidimensional mathematics through applying an Aboriginal perspective. These concepts that are outlined are the choice of and conversion between metric units,, utilising pi and solving perimeters of circles and solving problems using perimeter, area and circumference and finally, establishing and using formulae to solve perimeter and areas of squares, rectangles and triangles....   [tags: Mathematics, Problem solving]

Good Essays
1047 words (3 pages)

Essay on Gender and Mathematics

- Mathematics is acknowledged as a hard subject. People who are good at it are considered to belong to a sort of elite. Usually to be “accepted” in this elite you have to fulfill some requirements and most of them are related with a specific gender. “Math is a God’s gift for boys.” This has been the perception of society for a long time. The majority thinks that the nature of mathematics goes along mostly with masculine attributes, thus, males are more focused on it. Therefore, according to these people boys by default get to be better in math, with girls being excluded from any kind of decent relation with this field of study....   [tags: Gender Studies]

Good Essays
941 words (2.7 pages)

The Cartesian Doubt Experiment and Mathematics Essay

- The Cartesian Doubt Experiment and Mathematics ABSTRACT: The view that Descartes called mathematical propositions into doubt as he impugned all beliefs concerning common-sense ontology by assuming that all beliefs derive from perception seems to rest on the presupposition that the Cartesian problem of doubt concerning mathematics is an instance of the problem of doubt concerning existence of substances. I argue that the problem is not 'whether I am counting actual objects or empty images,' but 'whether I am counting what I count correctly.' Considering Descartes's early works, it is possible to see that for him, the proposition '2+3=5' and the argument 'I think, therefore I am,' were equal...   [tags: Mathematics Math Mathematical Papers]

Free Essays
3426 words (9.8 pages)

Mathematics Essay

- Mathematics In an attempt to express certain basic concepts of mathematics precisely, one should consider a handful of different accepted and developed conceptions. Pythagoras, in the Fifth Century B.C., believed that the ultimate elements of reality were numbers; therefore the explanation for the existence of any object could only be explained in number. Gottlob Frege stated, in an idea referred to as logicism, that mathematics could in some sense be reduced to logic. The views of Plato state that we "know" these rules of mathematics at the intuitive level rather than the conscious level....   [tags: Exploratory Essays Research Papers]

Good Essays
1081 words (3.1 pages)