0_Wizard
Do you like mathmatics? is the study of topics such as quantity (numbers), structure, space
Mathematics (from Greek μάθημα "máthēma", "knowledge, study, learning") is the study of topics such as quantity (numbers), structure, space, and change.
chosen_Mathematics_0
Mathematics
chosen_topic_0_Mathematics
Mathematics
Mathematics (from Greek μάθημα "máthēma", "knowledge, study, learning") is the study of topics such as quantity (numbers), structure, space, and change. There are many views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.
Scranton Cultural Center
The Scranton Cultural Center at the Masonic Temple (formerly the Masonic Temple and Scottish Rite Cathedral) is a theatre and cultural center in Scranton, Pennsylvania. The Cultural Center's mission statement is "to rejuvenate a national architectural structure as a regional center for arts, education and community activities appealing to all ages." The Cultural Center hosts national Broadway tours; professional and local musical and dramatic theatre offerings; local, regional and national orchestral and popular music, dance and opera; comedians, lecturers, art exhibits, a children's and performing arts academy and various classes as well as fundraiser galas and special events including proms, luncheons, private parties and is a popular wedding ceremony and reception venue.
Spacetime
In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams are useful in visualizing and understanding relativistic effects such as how different observers perceive "where" and "when" events occur. Until the turn of the 20th century, the assumption had been that the three-dimensional geometry of the universe (its description in terms of locations, shapes, distances, and directions) was distinct from time (the measurement of when events occur within the universe). However, Albert Einstein's 1905 "special theory of relativity" postulated that the speed of light through empty space has one definite value—a constant—that is independent of the motion of the light source.
Anastenaria (Xenakis)
Anastenaria is a triptych cycle of compositions for SATB chorus, male chorus and orchestra by Greek composer Iannis Xenakis. It is, also, one of his most successful early compositions. The three movements of this cycle were composed between 1952 and 1954. After winning the first prize in the Bucharest Music Festival in 1953 for "La colombe de la paix", one of his unpublished works, Xenakis decided to complete the first and the second movement of his "Anastenaria" trilogy, strongly influenced by his Greek roots. He was then studying with Arthur Honegger, Darius Milhaud and, most especially, with Olivier Messiaen, who even made several changes to the original conception of this work.
Loop quantum gravity
Loop quantum gravity (LQG) is a theory of quantum gravity, merging quantum mechanics and general relativity. It is an effort to unify gravity in a common theoretical framework with the other three fundamental forces of nature. It is the leading competitor to string theory. LQG begins with relativity and tries to add quantum features, while string theory, conversely, begins with quantum field theory and tries to add gravity. From the point of view of Albert Einstein's theory, it comes as no surprise that all attempts to treat gravity simply like one more quantum force (on par with electromagnetism and the nuclear forces) have failed.
History of mathematical notation
The history of mathematical notation includes the commencement, progress, and cultural diffusion of mathematical symbols and the conflict of the methods of notation confronted in a notation's move to popularity or inconspicuousness. Mathematical notation comprises the symbols used to write mathematical equations and formulas. Notation generally implies a set of well-defined representations of quantities and symbols operators. The history includes Hindu–Arabic numerals, letters from the Roman, Greek, Hebrew, and German alphabets, and a host of symbols invented by mathematicians over the past several centuries.
Quantity
Quantity is a property that can exist as a multitude or magnitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum.
1_Apprentice
I don't personally like them but I understand their importance.  Do you know the history of mathematics? 
0_Wizard
Well There are many views among mathematicians and philosophers as to the exact scope changes a lot
There are many views among mathematicians and philosophers as to the exact scope and definition of mathematics.
chosen_Mathematics_0
Mathematics
chosen_topic_0_Mathematics
Mathematics
Mathematics (from Greek μάθημα "máthēma", "knowledge, study, learning") is the study of topics such as quantity (numbers), structure, space, and change. There are many views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.
Relationship between religion and science
The relationship between religion and science has been a subject of study since classical antiquity, addressed by philosophers, theologians, scientists, and others. Perspectives from different geographical regions, cultures and historical epochs are diverse, with some characterizing the relationship as one of conflict, others describing it as one of harmony, and others proposing little interaction. Both science and religion are complex social and cultural endeavors that vary across cultures and have changed over time. Most scientific and technical innovations prior to the scientific revolution were achieved by societies organized by religious traditions.
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. Recurrent themes include:  The origin of mathematics is subject to argument. Whether the birth of mathematics was a random happening or induced by necessity duly contingent upon other subjects, say for example physics, is still a matter of prolific debates.
The Legendary Siblings 2
The Legendary Siblings 2 (also known as Amazing Twins) is a Taiwanese television series starring Jimmy Lin and Tae in the leading roles. It was first broadcast on CTS in Taiwan from January to March 2002, and was preceded by "The Legendary Siblings" in 1999. The plot is adapted from Gu Long's novel "Juedai Shuangjiao" and is seen as a follow-up to the original story. In a once peaceful decade, a mysterious man named Badao appeared among the pugilists of Central Plains. He mercilessly killed the entire troop with his sword fighting skills. Meanwhile, in Baihua Valley, Feng Wuque and Jiang Feiyu appeared to live peacefully with their wives and newborn sons.
Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor ( ; ;  – January 6, 1918) was a German mathematician. He invented set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an "infinity of infinities". He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware.
Romanian philosophy
Romanian philosophy is a name covering either a) the philosophy done in Romania or by Romanians, or b) an ethnic philosophy, which expresses at a high level the fundamental features of the Romanian spirituality, or which elevates to a philosophical level the Weltanschauung of the Romanian people, as deposited in language and folklore, traditions, architecture and other linguistic and cultural artifacts. The discussion concerning the existence of a Romanian philosophy has known three stages. Between the two World Wars, after the emergence of Greater Romania, Romanian national identity went through a crisis.
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize, the Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being invited to talk at the ICM has been called "the equivalent [...] of an induction to a hall of fame."
1_Apprentice
are you aware of any fields that mathematics is commonly used in?
0_Wizard
I know that Mathematicians seek out patterns and use them to form conjectures
Mathematicians seek out patterns and use them to formulate new conjectures.
chosen_Mathematics_0
Mathematics
chosen_topic_0_Mathematics
Mathematics
Mathematics (from Greek μάθημα "máthēma", "knowledge, study, learning") is the study of topics such as quantity (numbers), structure, space, and change. There are many views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.
Wiles's proof of Fermat's Last Theorem
Wiles's proof of Fermat's Last Theorem is a proof, by British mathematician Andrew Wiles, of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were almost universally considered inaccessible to proof by contemporaneous mathematicians, seen as virtually impossible to prove using current knowledge. Wiles first announced his proof on Wednesday 23 June 1993 at a lecture in Cambridge entitled "Elliptic Curves and Galois Representations." However, in September 1993 the proof was found to contain an error.
Alexander Grothendieck
Alexander Grothendieck (; ; ; 28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics. He is considered by many to be the greatest mathematician of the 20th century. Born in Germany, Grothendieck was raised and lived primarily in France. For much of his working life, however, he was, in effect, stateless.
Scientific method
The scientific method is a body of techniques for investigating phenomena, acquiring new knowledge, or correcting and integrating previous knowledge. To be termed scientific, a method of inquiry is commonly based on empirical or measurable evidence subject to specific principles of reasoning. The Oxford Dictionaries Online defines the scientific method as "a method or procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses". Experiments are a procedure designed to test hypotheses.
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. Recurrent themes include:  The origin of mathematics is subject to argument. Whether the birth of mathematics was a random happening or induced by necessity duly contingent upon other subjects, say for example physics, is still a matter of prolific debates.
Hilbert's problems
Hilbert's problems are twenty-three problems in mathematics published by German mathematician David Hilbert in 1900. The problems were all unsolved at the time, and several of them were very influential for 20th-century mathematics. Hilbert presented ten of the problems (1, 2, 6, 7, 8, 13, 16, 19, 21 and 22) at the Paris conference of the International Congress of Mathematicians, speaking on August 8 in the Sorbonne. The complete list of 23 problems was published later, most notably in English translation in 1902 by Mary Frances Winston Newson in the "Bulletin of the American Mathematical Society".
Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 6 is composite because it is the product of two numbers () that are both smaller than 6. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.