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Fallacy
A fallacy is the use of invalid or otherwise faulty reasoning in the construction of an argument that may appear to be well-reasoned if unnoticed. The term was introduced in the Western intellectual tradition by the Aristotelian '' De Sophisticis Elenchis''. Fallacies may be committed intentionally to manipulate or persuade by deception, unintentionally because of human limitations such as carelessness, cognitive or social biases and ignorance, or potentially due to the limitations of language and understanding of language. These delineations include not only the ignorance of the right reasoning standard but also the ignorance of relevant properties of the context. For instance, the soundness of legal arguments depends on the context in which they are made. Fallacies are commonly divided into "formal" and "informal". A formal fallacy is a flaw in the structure of a deductive argument that renders the argument invalid, while an informal fallacy originates in an error in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Informal Fallacy
Informal fallacies are a type of incorrect argument in natural language. The source of the error is not just due to the ''form'' of the argument, as is the case for formal fallacies, but can also be due to their ''content'' and ''context''. Fallacies, despite being incorrect, usually ''appear'' to be correct and thereby can seduce people into accepting and using them. These misleading appearances are often connected to various aspects of natural language, such as ambiguous or vague expressions, or the assumption of implicit premises instead of making them explicit. Traditionally, a great number of informal fallacies have been identified, including the fallacy of equivocation, the fallacy of amphiboly, the Fallacy of composition, fallacies of composition and Fallacy of division, division, the false dilemma, the fallacy of begging the question, the ad hominem fallacy and the appeal to ignorance. There is no general agreement as to how the various fallacies are to be grouped into cate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sophistical Refutations
''Sophistical Refutations'' (; ) is a text in Aristotle's ''Organon'' in which he identified thirteen fallacies.Sometimes listed as twelve. According to Aristotle, this is the first work to treat the subject of deductive reasoning in ancient Greece (''Soph. Ref.'', 34, 183b34 ff.). Overview ''On Sophistical Refutations'' consists of 34 chapters. The book naturally falls in two parts: chapters concerned with tactics for the Questioner (3–8 and 12–15) and chapters concerned with tactics for the Answerer (16–32). Besides, there is an introduction (1–2), an interlude (9–11), and a conclusion (33–34). Fallacies identified The fallacies Aristotle identifies in Chapter 4 (formal fallacies) and 5 (informal fallacies) of this book are the following: :Fallacies in the language or formal fallacies (''in dictionem''): # Equivocation # Amphiboly # Composition # Division # Accent # Figure of speech A figure of speech or rhetorical figure is a word or phrase that intentiona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Affirming The Consequent
In propositional logic, affirming the consequent (also known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the antecedent is true. It takes on the following form: :: If ''P'', then ''Q''. :: ''Q''. :: Therefore, ''P''. which may also be phrased as : P \rightarrow Q (P implies Q) : \therefore Q \rightarrow P (therefore, Q implies P) For example, it may be true that a broken lamp would cause a room to become dark. It is not true, however, that a dark room implies the presence of a broken lamp. There may be no lamp (or any light source). The lamp may also be off. In other words, the consequent (a dark room) can have other antecedents (no lamp, off-lamp), and so can still be true even if the stated antecedent is not. Converse errors are comm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Attacking Faulty Reasoning
''Attacking Faulty Reasoning: A Practical Guide to Fallacy-free Arguments'' is a textbook on logical fallacies by T. Edward Damer that has been used for many years in a number of college courses on logic, critical thinking, argumentation, and philosophy. It explains 60 of the most commonly committed fallacies. Each of the fallacies is concisely defined and illustrated with several relevant examples. For each fallacy, the text gives suggestions about how to address or to "attack" the fallacy when it is encountered. The organization of the fallacies comes from the author’s own fallacy theory, which defines a fallacy as a violation of one of the five criteria of a good argument: * the argument must be structurally well-formed; * the premises must be relevant; * the premises must be acceptable; * the premises must be sufficient in number, weight, and kind; * there must be an effective rebuttal of challenges to the argument. Each fallacy falls into at least one of Damer's five fa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Fallacy
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy. There is a distinction between a simple ''mistake'' and a ''mathematical fallacy'' in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or deception in the presentation of the proof. For example, the reason why validity fails may be attributed to a division by zero that is hidden by algebraic notation. There is a certain quality of the mathematical fallacy: as typically presented, it leads not only to an absurd result, but does so in a crafty or clever way. Therefore, these fallacies, for pedagogic reasons, usually take the form of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle, or designed to show that certain steps are conditional, and a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biases In Judgment And Decision Making
Cognitive biases are systematic patterns of deviation from norm and/or rationality in judgment. They are often studied in psychology, sociology and behavioral economics. Although the reality of most of these biases is confirmed by reproducible research, there are often controversies about how to classify these biases or how to explain them. Several theoretical causes are known for some cognitive biases, which provides a classification of biases by their common generative mechanism (such as noisy information-processing). Gerd Gigerenzer has criticized the framing of cognitive biases as errors in judgment, and favors interpreting them as arising from rational deviations from logical thought. Explanations include information-processing rules (i.e., mental shortcuts), called ''heuristics'', that the brain uses to produce decisions or judgments. Biases have a variety of forms and appear as cognitive ("cold") bias, such as mental noise, or motivational ("hot") bias, such as when bel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logical Argument
An argument is a series of Sentence (linguistics), sentences, Statement (logic), statements, or propositions some of which are called premises and one is the Logical consequence, conclusion. The purpose of an argument is to give Reason (argument), reasons for one's conclusion via justification, explanation, and/or persuasion. Arguments are intended to determine or show the degree of truth or acceptability of another statement called a conclusion. The process of crafting or delivering arguments, argumentation, can be studied from three main perspectives: the logical, the dialectical and the rhetorical perspective. In logic, an argument is usually expressed not in natural language but in a symbolic formal language, and it can be defined as any group of propositions of which one is claimed to follow from the others through Deductive reasoning, deductively valid inferences that preserve truth from the premises to the conclusion. This logical perspective on argument is relevant for sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formal Fallacy
In logic and philosophical logic, philosophy, a formal fallacy is a pattern of reasoning rendered validity (logic), invalid by a flaw in its logical structure. propositional calculus, Propositional logic, for example, is concerned with the meanings of sentences and the relationships between them. It focuses on the role of logical operators, called propositional connectives, in determining whether a sentence is true. An error in the sequence will result in a deductive argument that is invalid. The argument itself could have true premises, but still have a false logical consequence, conclusion. Thus, a formal fallacy is a fallacy in which 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 fa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Deductive Reasoning
Deductive reasoning is the process of drawing valid inferences. An inference is valid if its conclusion follows logically from its premises, meaning that it is impossible for the premises to be true and the conclusion to be false. For example, the inference from the premises "all men are mortal" and " Socrates is a man" to the conclusion "Socrates is mortal" is deductively valid. An argument is ''sound'' if it is valid ''and'' all its premises are true. One approach defines deduction in terms of the intentions of the author: they have to intend for the premises to offer deductive support to the conclusion. With the help of this modification, it is possible to distinguish valid from invalid deductive reasoning: it is invalid if the author's belief about the deductive support is false, but even invalid deductive reasoning is a form of deductive reasoning. Deductive logic studies under what conditions an argument is valid. According to the semantic approach, an argument is valid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argument
An argument is a series of sentences, statements, or propositions some of which are called premises and one is the conclusion. The purpose of an argument is to give reasons for one's conclusion via justification, explanation, and/or persuasion. Arguments are intended to determine or show the degree of truth or acceptability of another statement called a conclusion. The process of crafting or delivering arguments, argumentation, can be studied from three main perspectives: the logical, the dialectical and the rhetorical perspective. In logic, an argument is usually expressed not in natural language but in a symbolic formal language, and it can be defined as any group of propositions of which one is claimed to follow from the others through deductively valid inferences that preserve truth from the premises to the conclusion. This logical perspective on argument is relevant for scientific fields such as mathematics and computer science. Logic is the study of the form ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Persuasion
Persuasion or persuasion arts is an umbrella term for influence. Persuasion can influence a person's beliefs, attitudes, intentions, motivations, or behaviours. Persuasion is studied in many disciplines. Rhetoric studies modes of persuasion in speech and writing and is often taught as a classical subject. Psychology looks at persuasion through the lens of individual behaviour and neuroscience studies the brain activity associated with this behaviour. History and political science are interested in the role of propaganda in shaping historical events. In business, persuasion is aimed at influencing a person's (or group's) attitude or behaviour towards some event, idea, object, or another person (s) by using written, spoken, or visual methods to convey information, feelings, or reasoning, or a combination thereof. Persuasion is also often used to pursue personal gain, such as election campaigning, giving a sales pitch, or in trial advocacy. Persuasion can also be interpret ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Denying The Antecedent
Denying the antecedent (also known as inverse error or fallacy of the inverse) is a formal fallacy of inferring the inverse from an original statement. Phrased another way, denying the antecedent occurs in the context of an indicative conditional statement and assumes that the negation of the antecedent implies the negation of the consequent. It is a type of mixed hypothetical syllogism that takes on the following form: :If ''P'', then ''Q''. :Not ''P''. :Therefore, not ''Q''. which may also be phrased as :P \rightarrow Q (P implies Q) :\therefore \neg P \rightarrow \neg Q (therefore, not-P implies not-Q) Arguments of this form are invalid. Informally, this means that arguments of this form do not give good reason to establish their conclusions, even if their premises are true. The name ''denying the antecedent'' derives from the premise "not ''P''", which denies the "if" clause (antecedent) of the conditional premise. The only situation where one may deny the an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
