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Author: admin | Category: Armband Tattoos | 11.02.2016

You are not authorized to see this partPlease, insert a valid App IDotherwise your plugin won't work. Infinity is a concept in many fields, most predominantly mathematics and physics, that refers to a quantity without bound or end. The infinity symbol &infin is sometimes called the lemniscate, from the Latin lemniscus, meaning "ribbon".
Another conjecture is that he derived it from the Greek letter omega, the last letter in the Greek alphabet.
In accordance with the traditional view of Aristotle, the Hellenistic Greeks generally preferred to distinguish the potential infinity from the actual infinity; for example, instead of saying that there are an infinity of primes, Euclid prefers instead to say that there are more prime numbers than contained in any given collection of prime numbers (Elements, Book IX, Proposition 20).
In the Indian work on the theory of sets, two basic types of infinite numbers are distinguished.
The practice of refusing infinite values for measurable quantities does not come from a priori or ideological motivations, but rather from more methodological and pragmatic motivations.[citation needed] One of the needs of any physical and scientific theory is to give usable formulas that correspond to or at least approximate reality.
The formula would be useful neither to compute the force between two objects of finite mass nor to compute their motions. Cosmologists have long sought to discover whether infinity exists in our physical universe: Are there an infinite number of stars?
If, on the other hand, the universe were not curved like a sphere but had a flat topology, it could be both unbounded and infinite. The IEEE floating-point standard specifies positive and negative infinity values; these can be the result of arithmetic overflow, division by zero, or other exceptional operations. Some programming languages (for example, J and UNITY) specify greatest and least elements, i.e. Perspective artwork utilizes the concept of imaginary vanishing points, or points at infinity, located at an infinite distance from the observer.
From the perspective of cognitive scientists George Lakoff, concepts of infinity in mathematics and the sciences are metaphors, based on what they term the Basic Metaphor of Infinity (BMI), namely the ever-increasing sequence . Leopold Kronecker was skeptical of the notion of infinity and how his fellow mathematicians were using it in 1870s and 1880s. Both the artworks together in one tattoo resemble endless love for one’s special one. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e. Also, before typesetting machines were invented, infinity was easily made in printing by typesetting the numeral 8 on its side.


The ancient Indians and Greeks, unable to codify infinity in terms of a formalized mathematical system approached infinity as a philosophical concept.
4th to 3rd century BC) states that "if you remove a part from infinity or add a part to infinity, still what remains is infinity".
On both physical and ontological grounds, a distinction was made between asamkhyata ("countless, innumerable") and ananta ("endless, unlimited"), between rigidly bounded and loosely bounded infinities. As an example if any object of infinite gravitational mass were to exist, any usage of the formula to calculate the gravitational force would lead to an infinite result, which would be of no benefit since the result would be always the same regardless of the position and the mass of the other object.
If an infinite mass object were to exist, any object of finite mass would be attracted with infinite force (and hence acceleration) by the infinite mass object, which is not what we can observe in reality. For convenience's sake, calculations, equations, theories and approximations often use infinite series, unbounded functions, etc., and may involve infinite quantities. The curvature of the universe can be measured through multipole moments in the spectrum of the cosmic background radiation. This allows artists to create paintings that realistically render space, distances, and forms. Fractals can be magnified indefinitely without losing their structure and becoming "smooth"; they have infinite perimeters - some with infinite, and others with finite surface areas.
This skepticism was developed in the philosophy of mathematics called finitism, an extreme form of the philosophical and mathematical schools of constructivism and Intuitionism.
It is therefore assumed by physicists that no measurable quantity could have an infinite value,[citation needed] for instance by taking an infinite value in an extended real number system, or by requiring the counting of an infinite number of events. Sometimes infinite result of a physical quantity may mean that the theory being used to compute the result may be approaching the point where it fails.
Some solutions of the equations of the general theory of relativity allow for finite mass distributions of zero size, and thus infinite density.
As to date, analysis of the radiation patterns recorded by the WMAP spacecraft hints that the universe has a flat topology.
These may also be termed top and bottom, or plus infinity and minus infinity; they are useful as sentinel values in algorithms involving sorting, searching or windowing.
One such fractal curve with an infinite perimeter and finite surface area is the Koch snowflake.
Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. 430 BC?), a pre-Socratic Greek philosopher of southern Italy and member of the Eleatic School founded by Parmenides.


It is for example presumed impossible for any body to have infinite mass or infinite energy. In quantum field theory infinities arise which need to be interpreted in such a way as to lead to a physically meaningful result, a process called renormalization. This is an example of what is called a mathematical singularity, or a point where a physical theory breaks down. In languages that do not have greatest and least elements, but do allow overloading of relational operators, it is possible to create greatest and least elements. In the theory he developed, there are infinite sets of different sizes (called cardinalities).
Concepts of infinite things such as an infinite plane wave exist, but there are no experimental means to generate them. This does not necessarily mean that physical infinities exist; it may mean simply that the theory is incapable of describing the situation properly.
Note that the question of being infinite is logically separate from the question of having boundaries. The Planck spacecraft launched in 2009 is expected to record the cosmic background radiation with 10 times higher precision, and will give more insight into the question whether the universe is infinite or not.
Escher is specifically known for employing the concept of infinity in his work in this and other ways.
For example, the set of integers is countably infinite, while the set of real numbers is uncountably infinite. He is best known for his paradoxes, which Bertrand Russell has described as "immeasurably subtle and profound". Two other examples occur in inverse-square force laws of the gravitational force equation of Newtonian gravity and Coulomb's law of electrostatics. By traveling in a straight line one will eventually return to the exact spot one started from. The universe, at least in principle, might have a similar topology; if one travelled in a straight line through the universe perhaps one would eventually revisit one's starting point.



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