Please answer the following question: Information: - The Information Age (also known as the Computer Age, Digital Age, or New Media Age) is a period in human history characterized by the shift from traditional industry that the Industrial Revolution brought through industrialization, to an economy based on information computerization. The onset of the Information Age is associated with the Digital Revolution, just as the Industrial Revolution marked the onset of the Industrial Age. - In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth. - In logic, negation, also called logical complement, is an operation that takes a proposition "p" to another proposition "not "p"", written "p", which is interpreted intuitively as being true when "p" is false and false when "p" is true. Negation is thus a unary (single-argument) logical connective. It may be applied as an operation on propositions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes "truth" to "falsity" and vice versa. In intuitionistic logic, according to the BrouwerHeytingKolmogorov interpretation, the negation of a proposition "p" is the proposition whose proofs are the refutations of "p". - The Digital Revolution is the change from mechanical and analogue electronic technology to digital electronics which began anywhere from the late 1950s to the late 1970s with the adoption and proliferation of digital computers and digital record keeping that continues to the present day. Implicitly, the term also refers to the sweeping changes brought about by digital computing and communication technology during (and after) the latter half of the 20th century. Analogous to the Agricultural Revolution and Industrial Revolution, the Digital Revolution marked the beginning of the Information Age. - Algebra (from Arabic ""al-jabr"" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. - Elementary algebra encompasses some of the basic concepts of algebra, one of the main branches of mathematics. It is typically taught to secondary school students and builds on their understanding of arithmetic. Whereas arithmetic deals with specified numbers, algebra introduces quantities without fixed values, known as variables. This use of variables entails a use of algebraic notation and an understanding of the general rules of the operators introduced in arithmetic. Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. - In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term "abstract algebra" was coined in the early 20th century to distinguish this area of study from the other parts of algebra. - Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). - The Industrial Revolution was the transition to new manufacturing processes in the period from about 1760 to sometime between 1820 and 1840. This transition included going from hand production methods to machines, new chemical manufacturing and iron production processes, improved efficiency of water power, the increasing use of steam power, the development of machine tools and the rise of the factory system. Textiles were the dominant industry of the Industrial Revolution in terms of employment, value of output and capital invested; the textile industry was also the first to use modern production methods. The Industrial Revolution began in Great Britain and most of the important technological innovations were British. The social, economic and political changes in the previous centuries in Great Britain contributed. Whereas absolutism stayed the normal form of power execution through most parts of Europe, institutions ensured property rights and political safety to the people in the UK after the Glorious Revolution of 1688. Aided by these legal and cultural foundations, an entrepreneurial spirit and consumer revolution drove industrialisation in Britain, which would be emulated in countries around the world. A change in marrying patterns to getting married later made people able to accumulate more human capital during their youth, thereby encouraging economic development. - Arabic (' or ' ) is a Central Semitic language that was first spoken in Iron Age northwestern Arabia and is now the "lingua franca" of the Arab world. Arabic also is a liturgical language of 1.7 billion Muslims. It is one of six official languages of the United Nations. It is named after the Arabs, a term initially used to describe peoples living from Mesopotamia in the east to the Anti-Lebanon mountains in the west, and from northwestern Arabia to the Sinai in the south. - In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values "true" and "false", usually denoted 1 and 0 respectively. Instead of elementary algebra where the values of the variables are numbers, and the main operations are addition and multiplication, the main operations of Boolean algebra are the conjunction "and" denoted as , the disjunction "or" denoted as , and the negation "not" denoted as . It is thus a formalism for describing logical relations in the same way that ordinary algebra describes numeric relations. - George Boole ( / bul / ; 2 November 1815 -- 8 December 1864 ) was an English mathematician , educator , philosopher and logician . He worked in the fields of differential equations and algebraic logic , and is best known as the author of The Laws of Thought ( 1854 ) which contains Boolean algebra . Boolean logic is credited with laying the foundations for the information age . Boole maintained that : No general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognise , not only the special numerical bases of the science , but also those universal laws of thought which are the basis of all reasoning , and which , whatever they may be as to their essence , are at least mathematical as to their form . - In mathematics, an equation is a statement of an equality containing one or more variables. "Solving" the equation consists of determining which values of the variables make the equality true. Variables are also called unknowns and the values of the unknowns which satisfy the equality are called solutions of the equation. There are two kinds of equations: identity equations and conditional equations. An identity equation is true for all values of the variable. A conditional equation is true for only particular values of the variables. - An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities by George Boole, published in 1854, is the second of Boole's two monographs on algebraic logic. Boole was a professor of mathematics at what was then Queen's College, Cork (now University College Cork), in Ireland. - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables. - Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It bears close connections to metamathematics, the foundations of mathematics, and theoretical computer science. The unifying themes in mathematical logic include the study of the expressive power of formal systems and the deductive power of formal proof systems. Mathematical logic is often divided into the fields of set theory, model theory, recursion theory, and proof theory. These areas share basic results on logic, particularly first-order logic, and definability. In computer science (particularly in the ACM Classification) mathematical logic encompasses additional topics not detailed in this article; see Logic in computer science for those. - Professor (commonly abbreviated as "prof.") is an academic rank at universities and other post-secondary education and research institutions in most countries. Literally, "professor" derives from Latin as a "person who professes" being usually an expert in arts or sciences, a teacher of the highest rank. - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. After reading the paragraphs above, we are interested in knowing the entity with which 'george boole' exhibits the relationship of 'field of work'. Find the answer from the choices below. Choices: - abstract algebra - algebra - arabic - author - economic development - economics - economy - education - electronics - english - geometry - history - information - language - logic - mathematical logic - mathematician - mathematics - medicine - new media - number theory - production - safety - science - set theory - technology
Answer:
mathematical logic