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WFF 'N PROOF
WFF 'N PROOF is a game of modern logic, developed to teach principles of symbolic logic. It was developed by Layman E. Allen in 1962 a former professor of Yale Law School and the University of Michigan. Rules In the game, players must be able to recognize a "well-formed formula" (WFF) in Łukasiewicz notation, and to and use rules of logic to manipulate those WFFs into a proof. Games are played in groups of two or three. The first player rolls the cubes and sets a WFF as a Goal. The goal is the conclusion of a proof. Each player then tries to construct a proof that ends with the goal. The Solution to the goal is the Premises which they started their proof with, and the Rules they used to get to the Goal. Players take turns moving to the Essentials, Permitted Premises, or Permitted Rules sections of the mat. Any cube moved to Essentials must be used in any Solution, and must be an essential part of that solution; any cube in Permitted Premises may be used as part of a premise; ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
PPC Calculator Journal
''PPC Journal'' was an early hobbyist computer magazine, originally targeted at users of HP's first programmable calculator, the HP-65. It originated as ''65 Notes'' and the first issue was published in 1974. It later changed names in 1978 to ''PPC Journal'' and in 1980 to ''PPC Calculator Journal''. With Volume 12 published in 1984 the magazine was renamed ''PPC Journal''. The magazine ended publication in July 1987 (Volume 14). The founder of the ''PPC'' (Personal Programming Center) and editor of the journal was Richard J. Nelson. This hobbyist group worked around the journal and was known because Nelson discovered hidden instructions on the HP-65 calculator. Later the club and the journal got maximum notoriety when several club members discovered the "synthetic instructions" of the HP-41C. Competition A similar journal since 1976 was ''52-Notes'' for the Texas Instruments SR-52 user community. It was edited by Richard C. Vanderburgh. Both journals deliberately established a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Syntax (logic)
In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them. Syntax is concerned with the rules used for constructing, or transforming the symbols and words of a language, as contrasted with the semantics of a language which is concerned with its meaning. The symbols, formulas, systems, theorems, proofs, and interpretations expressed in formal languages are syntactic entities whose properties may be studied without regard to any meaning they may be given, and, in fact, need not be given any. Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system. In computer science, the term '' syntax'' refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is independent of semantics and interpretation. Syntactic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metalogic
Metalogic is the study of the metatheory of logic. Whereas ''logic'' studies how logical systems can be used to construct valid and sound arguments, metalogic studies the properties of logical systems.Harry GenslerIntroduction to Logic Routledge, 2001, p. 336. Logic concerns the truths that may be derived using a logical system; metalogic concerns the truths that may be derived ''about'' the languages and systems that are used to express truths. Hunter, Geoffrey, Metalogic: An Introduction to the Metatheory of Standard First-Order Logic', University of California Press, 1973 The basic objects of metalogical study are formal languages, formal systems, and their interpretations. The study of interpretation of formal systems is the branch of mathematical logic that is known as model theory, and the study of deductive systems is the branch that is known as proof theory. Overview Formal language A ''formal language'' is an organized set of symbols, the symbols of which precis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formal Languages
In logic, mathematics, computer science, and linguistics, a formal language consists of string (computer science), words whose symbol (formal), letters are taken from an alphabet (formal languages), alphabet and are well-formedness, well-formed according to a specific set of rules. The alphabet of a formal language consists of symbols, letters, or tokens that concatenate into strings of the language. Each string concatenated from symbols of this alphabet is called a word, and the words that belong to a particular formal language are sometimes called ''well-formed words'' or ''well-formed formulas''. A formal language is often defined by means of a formal grammar such as a regular grammar or context-free grammar, which consists of its formation rules. In computer science, formal languages are used among others as the basis for defining the grammar of programming languages and formalized versions of subsets of natural languages in which the words of the language represent concepts ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Educational Games
Educational games are games explicitly designed with educational purposes, or which have incidental or secondary educational value. All types of games may be used in an educational environment, however educational games are games that are designed to help people learn about certain subjects, expand concepts, reinforce development, understand a historical event or culture, or assist them in learning a skill as they play. Game types include board, card, and video games. As educators, governments, and parents realize the psychological need and benefits that gaming has on learning, this educational tool has become mainstream. Games are interactive play that teach goals, rules, adaptation, problem solving, interaction, all represented as a story. They satisfy a fundamental need to learn by providing enjoyment, passionate involvement, structure, motivation, ego gratification, adrenaline, creativity, social interaction and emotion in the game itself while the learning takes place. Vid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Museum Of American History
The National Museum of American History: Kenneth E. Behring Center collects, preserves, and displays the heritage of the United States in the areas of social, political, cultural, scientific, and military history. Among the items on display is the original Star-Spangled Banner (flag), Star-Spangled Banner. The museum is part of the Smithsonian Institution and located on the National Mall at 14th Street (Washington, D.C.), 14th Street and Constitution Avenue NW in Washington, D.C. History The museum opened in 1964 as the Museum of History and Technology. It was one of the last structures designed by the renowned architectural firm McKim Mead & White. In 1980, the museum was renamed the National Museum of American History to represent its mission of the collection, care, study, and interpretation of objects that reflect the experience of the American people. The museum site had previously held two Temporary buildings of the National Mall, temporary war buildings constructed in 194 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michigan Today
, mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As of October 25, 2021. , president = Santa Ono , provost = Laurie McCauley , established = , type = Public research university , academic_affiliations = , students = 48,090 (2021) , undergrad = 31,329 (2021) , postgrad = 16,578 (2021) , administrative_staff = 18,986 (2014) , faculty = 6,771 (2014) , city = Ann Arbor , state = Michigan , country = United States , coor = , campus = Midsize City, Total: , including arboretum , colors = Maize & Blue , nickname = Wolverines , sport ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
First Order Logic
First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than propositions such as "Socrates is a man", one can have expressions in the form "there exists x such that x is Socrates and x is a man", where "there exists''"'' is a quantifier, while ''x'' is a variable. This distinguishes it from propositional logic, which does not use quantifiers or relations; in this sense, propositional logic is the foundation of first-order logic. A theory about a topic is usually a first-order logic together with a specified domain of discourse (over which the quantified variables range), finitely many functions from that domain to itself, finitely many predicates defined on that domain, and a set of axi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yale Law School
Yale Law School (Yale Law or YLS) is the law school of Yale University, a Private university, private research university in New Haven, Connecticut. It was established in 1824 and has been ranked as the best law school in the United States by ''U.S. News & World Report'' every year between 1990 and 2022, when Yale made a decision to voluntarily pull out of the rankings, citing issues with the rankings' methodology. One of the most selective academic institutions in the world, the 2020–21 acceptance rate was 4%, the lowest of any law school in the United States. Its Yield (college admissions), yield rate of 87% is also consistently the highest of any law school in the United States. Yale Law alumni include many List of Yale Law School alumni, prominent figures in law and politics, including President of the United States, United States presidents Gerald Ford and Bill Clinton and former United States Secretary of State, U.S. secretary of state and presidential nominee, Hillary Cli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Games
Academic Games is a competition in the U.S. in which players win by out-thinking each other in mathematics, language arts, and social studies. Formal tournaments are organized by local leagues, and on a national level by the Academic Games Leagues of America (AGLOA). Member leagues in eight states hold a national tournament every year, in which players in four divisions compete in eight different games covering math, English, and history. Some turn-based games require a kit consisting of a board and playing cubes, while other games have a central reader announcing questions or clues and each player answering individually. History Before the existence of AGLOA, tournaments were held by the National Academic Games Project founded by the creator of many of the games. The earliest tournaments, in the late 1960s, were held on or near the campus of Nova High School in Davie, Florida. Nova was the beta test site for the game "Propaganda" and others. Many AGLOA leaders were involved wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Whiffenpoofs
The Yale Whiffenpoofs is a collegiate a cappella singing group. Established at Yale University in 1909, it is the oldest such group in the United States. The line-up is completely replaced each year: the group is always composed of rising seniors, who often take a year leave of absence from the university to tour the United States and internationally. Former members include Cole Porter and Jonathan Coulton. Name According to Whiffenpoof historian James M. Howard: History and activities Established in 1909 and best known for "The Whiffenpoof Song",The Rev. James M. Howard, Yale Class of 1909"An Authentic Account of the Founding of the Whiffenpoofs" the group is composed of senior students who compete in the spring of their junior year for 14 spots. The Whiffenpoofs' best-known alumnus may be Cole Porter, who sang in the 1913 line-up; the group often performs Porter songs in tribute. The Whiffenpoofs have performed for generations at a number of venues, including Lincoln Cente ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
