Accident (fallacy)
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Accident (fallacy)
The fallacy of accident (also called destroying the exception or ''a dicto simpliciter ad dictum secundum quid'') is an informal fallacy and a deductively valid but unsound argument occurring in a statistical syllogism (an argument based on a generalization) when an exception to a rule of thumb is ignored. It is one of the thirteen fallacies originally identified by Aristotle in ''Sophistical Refutations''. The fallacy occurs when one attempts to apply a general rule to an irrelevant situation. For example: This fallacy may occur when limited generalizations ("some; sometimes and somewhere") are mixed with A-type categorical statements ("all; always and everywhere"), often when no quantifiers like "some" or "many" or qualifiers such as "rarely" are used to mark off what is or may be excepted in the generalization. Related inductive fallacies include overwhelming exceptions and hasty generalizations. See faulty generalization. The opposing kind of ''dicto simplicite ...
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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 fallacies of composition and 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 categories. One approach sometimes found in ...
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Qualifier
In linguistics, a modifier is an optional element in phrase structure or clause structure which ''modifies'' the meaning of another element in the structure. For instance, the adjective "red" acts as a modifier in the noun phrase "red ball", providing extra details about which particular ball is being referred to. Similarly, the adverb "quickly" acts as a modifier in the verb phrase "run quickly". Modification can be considered a high-level domain of the functions of language, on par with predication and reference. Premodifiers and postmodifiers Modifiers may come either before or after the modified element (the ''head''), depending on the type of modifier and the rules of syntax for the language in question. A modifier placed before the head is called a premodifier; one placed after the head is called a postmodifier. For example, in ''land mines'', the word ''land'' is a premodifier of ''mines'', whereas in the phrase ''mines in wartime'', the phrase ''in wartime'' is a postmodif ...
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Converse Accident
The fallacy of converse accident (also called reverse accident, destroying the exception, or ''a dicto secundum quid ad dictum simpliciter'') is an informal fallacy that can occur in a statistical syllogism (an argument based on a generalization) when a rule that applies only to an exceptional case is wrongly applied to all cases in general. Overview For example: :If we allow people with glaucoma to use medical marijuana, then everyone should be allowed to use marijuana. * People with glaucoma use marijuana. * People with glaucoma should be allowed to choose what substances they use. * Therefore, all people who use marijuana should be allowed to choose what substances they use. The inductive version of this fallacy is called hasty generalization. See faulty generalization. This fallacy is similar to the slippery slope, where the opposition claims that if a restricted action under debate is allowed, such as allowing people with glaucoma to use medical marijuana, then the ac ...
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Dicto Simpliciter
''Secundum quid'' (also called ''secundum quid et simpliciter'', meaning " hat is truein a certain respect and hat is trueabsolutely") is a type of informal fallacy that occurs when the arguer fails to recognize the difference between rules of thumb (''soft'' generalizations, heuristics that hold true ''as a general rule'' but leave room for exceptions) and categorical propositions, rules that hold true universally. Since it ignores the limits, or qualifications, of rules of thumb, this fallacy is also named ignoring qualifications. The expression misuse of a principle can be used as well. Example The arguer cites only the cases that support his point, conveniently omitting Bach, Beethoven, Brahms etc. Compare with: In popular culture The following quatrain can be attributed to C. H. Talbot: I talked in terms whose sense was hid, ''Dividendo, componendo et secundum quid''; Now ''secundum quid'' is a wise remark And it earned my reputation as a learned clerk. Types Inst ...
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Faulty Generalization
A faulty generalization is an informal fallacy wherein a conclusion is drawn about all or many instances of a phenomenon on the basis of one or a few instances of that phenomenon. It is similar to a proof by example in mathematics. It is an example of jumping to conclusions. For example, one may generalize about all people or all members of a group, based on what one knows about just one or a few people: * If one meets a rude person from a given country X, one may suspect that most people in country X are rude. * If one sees only white swans, one may suspect that all swans are white. Expressed in more precise philosophical language, a fallacy of defective induction is a conclusion that has been made on the basis of weak premises, or one which is not justified by sufficient or unbiased evidence. Unlike fallacies of relevance, in fallacies of defective induction, the premises are related to the conclusions, yet only weakly buttress the conclusions, hence a faulty generalization is ...
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Hasty Generalization
A faulty generalization is an informal fallacy wherein a conclusion is drawn about all or many instances of a phenomenon on the basis of one or a few instances of that phenomenon. It is similar to a proof by example in mathematics. It is an example of jumping to conclusions. For example, one may generalize about all people or all members of a group, based on what one knows about just one or a few people: * If one meets a rude person from a given country X, one may suspect that most people in country X are rude. * If one sees only white swans, one may suspect that all swans are white. Expressed in more precise philosophical language, a fallacy of defective induction is a conclusion that has been made on the basis of weak premises, or one which is not justified by sufficient or unbiased evidence. Unlike fallacies of relevance, in fallacies of defective induction, the premises are related to the conclusions, yet only weakly buttress the conclusions, hence a faulty generalization i ...
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Overwhelming Exception
An overwhelming exception is an informal fallacy of generalization. It is a generalization that is accurate, but comes with one or more qualifications which eliminate so many cases that what remains is much less impressive than the initial statement might have led one to believe. Examples * "Our foreign policy has always helped other countries, except of course when it is against our National Interest..." :The false implication is that their foreign policy always helps other countries. The rhetorical use of the fallacy can be used to comic effect, as in the below examples: * "All right, but apart from the sanitation, the medicine, education, wine, public order, irrigation, roads, a fresh water system, and public health... ''what have the Romans ever done for us!?''" – ''Monty Python's Life of Brian'' :The attempted implication (fallacious in this case) is that the Romans did nothing for them. *"Well, I promise the answer will always be ''yes.'' Unless ''no'' is required." – '' M ...
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Inductive Reasoning
Inductive reasoning is a method of reasoning in which a general principle is derived from a body of observations. It consists of making broad generalizations based on specific observations. Inductive reasoning is distinct from ''deductive'' reasoning. If the premises are correct, the conclusion of a deductive argument is ''certain''; in contrast, the truth of the conclusion of an inductive argument is '' probable'', based upon the evidence given. Types The types of inductive reasoning include generalization, prediction, statistical syllogism, argument from analogy, and causal inference. Inductive generalization A generalization (more accurately, an ''inductive generalization'') proceeds from a premise about a sample to a conclusion about the population. The observation obtained from this sample is projected onto the broader population. : The proportion Q of the sample has attribute A. : Therefore, the proportion Q of the population has attribute A. For example, say there ...
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Quantifier (logic)
In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. For instance, the universal quantifier \forall in the first order formula \forall x P(x) expresses that everything in the domain satisfies the property denoted by P. On the other hand, the existential quantifier \exists in the formula \exists x P(x) expresses that there exists something in the domain which satisfies that property. A formula where a quantifier takes widest scope is called a quantified formula. A quantified formula must contain a bound variable and a subformula specifying a property of the referent of that variable. The mostly commonly used quantifiers are \forall and \exists. These quantifiers are standardly defined as duals; in classical logic, they are interdefinable using negation. They can also be used to define more complex quantifiers, as in the formula \neg \exists x P(x) which expresses that nothing has the property P. ...
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Deductive Reasoning
Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if 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. Some theorists define 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. Psychology is interested in deductive reasoning as a psychological process, i.e. how people ''actually'' draw ...
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Categorical Statement
In logic, a categorical proposition, or categorical statement, is a proposition that asserts or denies that all or some of the members of one category (the ''subject term'') are included in another (the ''predicate term''). The study of arguments using categorical statements (i.e., syllogisms) forms an important branch of deductive reasoning that began with the Ancient Greeks. The Ancient Greeks such as Aristotle identified four primary distinct types of categorical proposition and gave them standard forms (now often called ''A'', ''E'', ''I'', and ''O''). If, abstractly, the subject category is named ''S'' and the predicate category is named ''P'', the four standard forms are: *All ''S'' are ''P''. (''A'' form, \forall _\rightarrow P_xequiv \forall neg S_\lor P_x/math>) *No ''S'' are ''P''. (''E'' form, \forall _\rightarrow \neg P_xequiv \forall neg S_\lor \neg P_x/math>) *Some ''S'' are ''P''. (''I'' form, \exists _\land P_x/math>) *Some ''S'' are not ''P''. (''O'' form, ...
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