Real Number

The general and widespread acceptance of Sir Isaac Newton’s models and laws may often be taken for granted, but this has not always been so. Throughout history, scientists and philosophers have built on each other’s theories to create improved and often revolutionary models. Although Newton was neither the first nor the last to bring major innovations to society, he was one of the most notable ones; many of his contributions are still in use today. With the formulation of his laws of motion, Sir Isaac Newton contributed to the downfall of Aristotelianism and provided a universal quantitative system for approximating and explaining a wide range of phenomena of space and the physics of motion, revolutionizing the study and understanding

Heisenberg realized that the uncertainty relations had profound implications. Heisenberg set himself to the task of finding the new quantum mechanics to explain what his theories observed. He relied on what can be observed, namely the light emitted and absorbed by the atoms. By July 1925, Heisenberg wrote his answer in a paper. The basic idea of Heisenberg's paper was to get rid of the orbits in atoms and to arrive at new mechanical equations. Heisenberg’s approached focused mainly on the particle nature of electrons. The mathematics Heisenberg used were tables commonly used for multiplication of arrays of numbers-mathematical objects known as matrices. Using the mathematics of matrices, scientists had at last a new mechanics for calculating the quantum behavior of particles. Heisenberg, and others showed that the new quantum mechanics could account for many of the properties of atoms and atomic events.

This will lead to an explanation of motion, the development of the calculus, and the establishment of basic laws of modern physics.

Modern physicists found, however, that at the physical extremes of nature-the microcosmic realm of atomic particles and the macrocosmic world of heavy astronomical bodies-the laws of Newton’s principia did not apply. German physicist, Albert Einstein, made public his special theory of relativity, a radically new approach to the new concepts of time, space, motion, and light. Building on Einstein’s theories, Werner Heisenberg theorized that since the very act of measuring subatomic phenomena altered them, the position and the velocity of a subatomic particle could not be measured

What is real and what do we really know? These are common questions that everyone asks sometime in their lives. These questions date back since man was made. Nobody knows 100% what happens to us when we die, or what our purpose is in life. Humans have a natural instinct to raise questions to material that we are uncertain of. The movie The Matrix, Descartes First Meditation, and Plato’s The Allegory of the Cave all raise different aspects to questions such as do I exist, what is reality, and how do I know?

Pi is an irrational number that represents the ratio of a circle’s circumference to its diameter. In the Mile of Pi, Numberphile printed out the first million digits of Pi in a continuous long piece of paper, which stretched for over a mile. They printed out pi and rolled it out for one mile to show that there are cycles of repeating sequences within pi and that every number does not appear evenly. Brady Haran also presents some interesting things that could be found along the way. He points out the Feynman Point which has the number 9 repeated six times. He also pointed out the point where Akira Haraguchi (known for memorizing the most digits of pi) memorized up to. When they reached the end of the mile long paper, the last digit was 1 in

By using geometry to evade irrational numbers, a mathematical crisis had been covered. Although Greeks could not tolerate irrational numbers, they accepted “irrational geometric quantities such as the diagonal of the unit square” (Lecture 8. Eudoxus, Avoided a Fundamental Conflict), or square root

In 1918 Emmy discovered that if the lagrangian, which is a quantity that characterizes aa physical system in mechanics it is kinetic minus potential energy, does not change when the coordinate system changes. So now there is a law known as the Noether's theorem which is the relation between what are known as the symmetries of a physical system. This law has proven to be a key result in theoretical physics. From this Emmy won formal admission as an academic lecturer in 1919. This concludes my essay on Emmy

Numbers, simple lines connected to each other in different ways. Yet these simple configurations of lines have created the basis for all living things. Measurements of any kind require the use of these mere human constructs. The numbers 185463 are no different: they’re just numbers. However, humans are able to understand them in so many different ways.

What is real, what is not, how can I really know the world around me? These are simple questions that philosophers have pondered on for hundreds of years. This type of questioning falls under the topic of metaphysics which deals with two broad questions of what is there and what is it like? Philosophers that discuss metaphysics question what we perceive in this world and attempt to clarify the sensations that we feel. Plato a renowned philosopher and student to Socrates had his own theories when it came to metaphysics. Plato believed that the world we perceive is a mere copy of an even greater reality that can only be unlocked by ideas and not material

what is real exist? We often think if something we can feel by using our five senses, they are real existing. But if something we cannot feel by using our five senses, how do we know they are not real exists? We cannot see, hear ,or touch it. radio waves, but we know it is real exist by using special machine. Back to those dinosaurs, we have never seen them, but how do we know that they in the Earth before? We know them through fossil. Dawkins says," for reality doesn't just consist of the things we already know about, it also includes things that exist but that we don't know about yet and won't know about until some future time, perhaps when we have built better instruments to assist our five senses.(Dawkins,15)"

As I researched about my dream job, I realized how math concepts are used. One well known concept is decimals.

“What is real? How do you define ‘real’? If you’re talking about what you can feel, what you can smell, what you can taste and see, then ‘real’ is simply electrical signals interpreted by your brain (The Matrix).” While this question and its following analysis are from the late 20th century film The Matrix, the Ancient Greek philosopher Plato would have agreed wholeheartedly. Plato was a 4th century B.C. Greek philosopher who explored many fundamental philosophical concepts and instituted one of the first educational establishments in the Western World.

Arithmetic: Arithmetic is the branch of mathematics that deals with combining numbers by division, multiplication, subtraction, and addition operations.

Likewise, in the set of ail Real numbers RU, 1.1, 1.11, 1.111,...} there are an infinite amount of members as weli. This sets cardinality is represented by t’ or, as Cantor proved in 1874, N1. it there are an infinite amount of Real values between each of the infinite amount of