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Undistributed Middle
The fallacy of the undistributed middle () is a formal fallacy that is committed when the middle term in a categorical syllogism is not distributed in either the minor premise or the major premise. It is thus a syllogistic fallacy. Classical formulation In classical syllogisms, all statements consist of two terms and are in the form of "A" (all), "E" (none), "I" (some), or "O" (some not). The first term is distributed in A statements; the second is distributed in O statements; both are distributed in "E" statements, and none are distributed in I statements. The fallacy of the undistributed middle occurs when the term that links the two premises is never distributed. In this example, distribution is marked in boldface: # All Z is B # All Y is B # Therefore, all Y is Z B is the common term between the two premises (the middle term) but is never distributed, so this syllogism is invalid. B would be distributed by introducing a premise which states either All B is Z, or Some B is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formal Fallacy
In philosophy, a formal fallacy, deductive fallacy, logical fallacy or non sequitur (; Latin for " tdoes not follow") is a pattern of reasoning rendered invalid by a flaw in its logical structure that can neatly be expressed in a standard logic system, for example propositional logic.Harry J. Gensler, ''The A to Z of Logic'' (2010) p. 74. Rowman & Littlefield, It is defined as a deductive argument that is invalid. The argument itself could have true premises, but still have a false conclusion. Thus, a formal fallacy is a fallacy where deduction goes wrong, and is no longer a logical process. This may not affect the truth of the conclusion, since validity and truth are separate in formal logic. While a logical argument is a non sequitur if, and only if, it is invalid, the term "non sequitur" typically refers to those types of invalid arguments which do not constitute formal fallacies covered by particular terms (e.g., affirming the consequent). In other words, in practice, "''non s ... [...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 ax ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Syllogism
A syllogism ( grc-gre, συλλογισμός, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. In its earliest form (defined by Aristotle in his 350 BCE book '' Prior Analytics''), a syllogism arises when two true premises (propositions or statements) validly imply a conclusion, or the main point that the argument aims to get across. For example, knowing that all men are mortal (major premise) and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Syllogistic arguments are usually represented in a three-line form: All men are mortal. Socrates is a man. Therefore, Socrates is mortal.In antiquity, two rival syllogistic theories existed: Aristotelian syllogism and Stoic syllogism. From the Middle Ages onwards, ''categorical syllogism'' and ''syllogism'' were usually used interchangeably. This a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Firing Line (TV Program)
''Firing Line'' is an American public affairs television show. It first ran from 1966 to 1999, with conservative author and columnist William F. Buckley Jr. as host. It was relaunched in 2018 with Margaret Hoover as host. With 1,504 episodes over 33 years under Buckley, ''Firing Line'' was the longest-running public affairs show with a single host in television history. The program, which featured many influential public figures in the United States, won an Emmy Award in 1969. Broadcast history ''Firing Line'' began on April 4, 1966, as an hour-long show (including breaks) for commercial television. The program was produced at WOR-TV in New York City and was syndicated nationally through that station's parent company RKO General and later Showcorporation of America, a syndication firm which RKO acquired majority ownership of in 1968. ''Firing Line'' was mainly seen on weekends in low-rated afternoon or late-night time slots, because of the program's admitted appeal to a sm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William F
William is a male given name of Germanic origin.Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 276. It became very popular in the English language after the Norman conquest of England in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will, Wills, Willy, Willie, Bill, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie or the play ''Douglas''). Female forms are Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the given name ''Wilhelm'' (cf. Proto-Germanic ᚹᛁᛚᛃᚨᚺᛖᛚᛗᚨᛉ, ''*Wiljahelmaz'' > German ''Wilhelm'' and Old Norse ᚢᛁᛚᛋᛅᚼᛅᛚᛘᛅᛋ, ''Vilhjálmr''). By regular sound changes, the native, inherited English form of the name shoul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christopher Hitchens
Christopher Eric Hitchens (13 April 1949 – 15 December 2011) was a British-American author and journalist who wrote or edited over 30 books (including five essay collections) on culture, politics, and literature. Born and educated in England, Hitchens worked as a journalist with the ''New Statesman'' magazine in London in the 1970s after leaving Oxford. In the early 1980s he emigrated to the United States and wrote for ''The Nation'' and '' Vanity Fair''. Hitchens political views evolved greatly throughout his life. Originally describing himself as a democratic socialist, he was a member of various socialist organisations in his early life, including the International Socialists. Hitchens eventually no longer regarded himself as socialist, but continued to admire aspects of Marxism. He was critical of aspects of American foreign policy, including its involvement in Vietnam, Chile, and East Timor. However, he also supported the United States in the Kosovo War. After Hitchens di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Purloined Letter
"The Purloined Letter" is a short story by American author Edgar Allan Poe. It is the third of his three detective stories featuring the fictional C. Auguste Dupin, the other two being "The Murders in the Rue Morgue" and " The Mystery of Marie Rogêt". These stories are considered to be important early forerunners of the modern detective story. It first appeared in the literary annual ''The Gift for 1845'' (1844) and soon was reprinted in numerous journals and newspapers. Plot summary The unnamed narrator is with the famous Parisian amateur detective C. Auguste Dupin when they are joined by G-, prefect of the Paris police. The prefect has a case he would like to discuss with Dupin. A letter from the queen's lover has been stolen from her boudoir by the unscrupulous Minister D—. D— had been in the room, saw the letter, and switched it for a letter of no importance. He has since been blackmailing the queen. The prefect makes two deductions with which Dupin does not disagree: # ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edgar Allan Poe
Edgar Allan Poe (; Edgar Poe; January 19, 1809 – October 7, 1849) was an American writer, poet, editor, and literary critic. Poe is best known for his poetry and short stories, particularly his tales of mystery and the macabre. He is widely regarded as a central figure of Romanticism in the United States, and of American literature. Poe was one of the country's earliest practitioners of the short story, and considered to be the inventor of the detective fiction genre, as well as a significant contributor to the emerging genre of science fiction. Poe is the first well-known American writer to earn a living through writing alone, resulting in a financially difficult life and career. Poe was born in Boston, the second child of actors David and Elizabeth "Eliza" Poe. His father abandoned the family in 1810, and when his mother died the following year, Poe was taken in by John and Frances Allan of Richmond, Virginia. They never formally adopted him, but he was with them well ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Premise
A premise or premiss is a true or false statement that helps form the body of an argument, which logically leads to a true or false conclusion. A premise makes a declarative statement about its subject matter which enables a reader to either agree or disagree with the premise in question, and in doing so understand the logical assumptions of the argument. If a premise is logically false, then the conclusion, which follows from all of the premises of the argument, must also be false—unless the conclusion is supported by a logically valid argument which the reader agrees with. Therefore, if the reader disagrees with any one of the argument's premises, they have a logical basis to reject the conclusion of the argument. Explanation In logic, an argument requires a set of at least two declarative sentences (or "propositions") known as the "premises" (or "premisses"), along with another declarative sentence (or "proposition"), known as the conclusion. This structure of two prem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grandpa Backpack Undistributed Middle
Grandparents, individually known as grandmother and grandfather, are the parents of a person's father or mother – paternal or maternal. Every sexually-reproducing living organism who is not a genetic chimera has a maximum of four genetic grandparents, eight genetic great-grandparents, sixteen genetic great-great-grandparents, thirty-two genetic great-great-great-grandparents, sixty-four genetic great-great-great-great grandparents, etc. In the history of modern humanity, around 30,000 years ago, the number of modern humans who lived to be a grandparent increased. It is not known for certain what spurred this increase in longevity but largely results in the improved medical technology and living standard, but it is generally believed that a key consequence of three generations being alive together was the preservation of information which could otherwise have been lost; an example of this important information might have been where to find water in times of drought. In cases ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Co-premise
A co-premise is a premise in reasoning and informal logic which is not the main supporting reason for a contention or a lemma, but is logically necessary to ensure the validity of an argument. One premise by itself, or a group of co-premises can form a reason. Logical structure Every significant term or phrase appearing in a premise of a simple argument, should also appear in the contention/conclusion or in a co-premise. But this by itself does not guarantee a valid argument, see the fallacy of the undistributed middle for an example of this. Sometimes a co-premise will not be explicitly stated. This type of argument is known as an 'enthymematic' argument, and the co-premise may be referred to as a 'hidden' or an 'unstated' co-premise and will often be subject to an inference objection. In this argument map An argument map or argument diagram is a visual representation of the structure of an argument. An argument map typically includes the key components of the argument, tr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle Term
In logic, a middle term is a term that appears (as a subject or predicate of a categorical proposition) in both premises but not in the conclusion of a categorical syllogism. Example: :Major premise: All men are mortal. :Minor premise A syllogism ( grc-gre, συλλογισμός, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true ...: Socrates is a man. :Conclusion: Socrates is mortal. The middle term is bolded above. References {{logic-stub Term logic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
