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Power of Logic

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Logic   show
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show Is a set of statements where some of the statements, called the premises, are intended to suppor another, call the conclusion.  
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show Is a declarative sentence that is either true or false.  
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Deductive Argument   show
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show Is on in which the premises are intended to make the conclusion proabable, without guaranteeing it.  
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show Is the study of methods for evaluating whether the premises of an argument guarantee its conclusion. (Validity and invalidity)  
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Inductive Logic   show
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show is one in which it is necessary that, if the premises are true, then the conclusion is true.  
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show is one in which it is not necessary that, if the premises are true, then the conclusion is true.  
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show is a valid argument in which all of the premises are true.  
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Unsound argument   show
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Argument Form   show
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show 1. If A, then B. 2. A So, 3. B  
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show Substitution instance of an argument form is an argument that results from uniformly replacing the variables in that form with statements (or terms).  
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show is one in which every substitution instance is a valid argument.  
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Formally Valid Argument   show
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show 1.If A, Then B 2. Not B. So, 3. Not A.  
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Hypothetical Syllogism   show
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show 1. Either A or B, 1. Either A or B 2. Not A 2.Not B So, 3. B So, 3. A  
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Constructive Dilemma   show
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Negation   show
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Conditional Statement   show
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show Is the If-clause of a conditional.  
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show Is the Then Clause of a conditional.  
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Disjunction   show
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Disjuncts   show
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show Is one that has some invalid substitution instances.  
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show 1. If A, Then B 2. Not A So 3. Not B  
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Counterexample   show
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Good Counterexample   show
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Fallacy of Affirming the Consequent   show
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Categorical Statement   show
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Term   show
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show Is one in which it is probable (but not necessary) that, if the premises are true, then the conclusion is true.  
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show Is one in which it is not probable that, if the premises are true, then the conclusion is true.  
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show is a strong argument in which all of the premises are true  
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Uncongent Argument   show
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Unsupported assertions   show
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show Sets of statements intended to provide information about a situation, topic or event.  
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show Statements together with explanatory or clarifying examples.  
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Explanatory statements.   show
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Conditional Statements   show
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show Is an argument that is stated in such a way that its important logical features are explicit.  
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show Identify the premises and the conclusion.  
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show Eliminate excess verbiage.  
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show Employ uniform language  
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show Be fair and charitable in interpreting an argument.  
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show Do not confuse subconclusions with (final) conclusions.  
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show Make explicit obviously implicit premises in a charitable way.  
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Premise Indicators   show
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show So; Therefore; Hence; Implies that; It follows that; Thus; Accordingly; Consequently; We may infer that; Which proves that.  
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show is a word or statement that adds nothing to the argument. Typical examples include discounts, repetition, assurances, and hedges.  
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show Although; Even Though; in spite of the fact that; despite the fact that; while it may be true that; while I admit that; I realize that... But. I know that... but.  
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Assurance Indicators   show
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show I think that; It seems that; perhaps; maybe; in my opinion; I believe that; I guess that; it is reasonable to suppose that; this seems reasonable; this is plausible.  
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show is an argument that has one or more premises or its conclusion is left implicit.  
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show Is a truth or falshood that may or may not be expressed in a sentence.  
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show is the information conveyed by a sentence.  
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Emotive Force of a Sentence   show
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show Has more than one meaning  
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show has borderline cases.  
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Extenstion of a term   show
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Intension of a Term   show
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Extensional Definition   show
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Intensional Definition   show
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Ostensive Definition   show
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show Specifies the meaning of a term by naming the members of its extension individually.  
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Definition by Subclass   show
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Lexical Definition   show
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show Specifies the intension of a term independently of convention or established use.  
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Precising definition   show
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Theoretical Definition   show
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Definiendum   show
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show Is the word or words that do the defining.  
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show Ex: "Bird" means an animal having wings.  
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show Ex: "Bird" means a feathered animal that can fly.  
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Counterexample To a definition   show
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Criterion 3: A definition should not be obscure, ambiguous, or figurative.   show
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Criterion 3: Obscure Technical Jargon:   show
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show Ex: Faith means true belief.  
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show "art" is the stored honey of the human soul, gathered on wings of misery and travail.  
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Criterion 4: Definition should not be Circular   show
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Criterion 5: A definition should not be negative if it can be affirmative.   show
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show Ex: Triangle means Steve's favorite geometrical figure.  
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show Occurs when a word(or phrase) is used wiht more than one meaning in an argument, but the validity of the argument depends on the word's being used with the same meaning throughout.  
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show occurs when disputants appear to disagree, but an ambiguous word ( or phrase) hides the fact that the disagreement is unreal.  
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Persuasive Definition   show
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Formal Fallacy   show
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Informal Fallacies   show
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Argument Against the Person   show
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show Direct personal attack. Ex: an insult or allegation that the arguer has a moral flaw.  
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Circumstantial ad hominem   show
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Tu Quoque   show
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show Premises: A misrepresentatio nof the view is false. Conclusion: The view itself is false.  
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Appeal to Force   show
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Appeal to the People   show
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show Premises: You have reason to pity this person (or group). Conclusion: You should do X for the benefit of this person (or group), although doing X is not called for logically by the reason given.  
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show Premises: This statement has not been proven true. Conclusion This statement is false. OR Premises This statement has not been proven false. Conclusion: This statement is true.  
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show Premises: Something relevant to the topic at hand is described. Conclusion: A distracting but often unnoticed change of subject occurs.  
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Equivocation   show
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show Premises: Contain a sentence that is ambiguous due to faulty structure. (e.g. grammar or punctuation) Conclusion: Is reached no by valid Logical inference but by trading on the structural ambiguity  
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Composition   show
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show Premises: The whole (or group) has attribute X. Conclusion: The part (or members) have attribute X  
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show The airplane is heavy. So, each of its parts is heavy.  
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show Each of the parts of this airplane is very light. Therefore, the airplane itself is very light.  
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show Your honor, the witness said he saw a photograph of the defendant lying on the coffee table. Therefore, the defendant must have lain on the coffee table at some point.  
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Equivocation Example   show
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Red Herring Example   show
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Appeal to ignorance Example   show
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Appeal to Pity Example   show
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show Real mean drink El Belcho Beer. Wimps drink the inferior brandss. I can see you're a real man. So, El Belcho is the beer for you.  
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Appeal to Force example   show
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show These evolutionists believe that a dog can give birth to a cat. How Ridiculous!  
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show Dad tells me I shouldn't lie. he says lying is wrong because it makes people stop trusting on another. But I've heard my dad lie. Sometimes he calls in "sick" to work when he isn't really sick. So lying isn't really wrong. Dad just doesn't like it.  
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Argument against the person circumstantial Example   show
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show Yes, Jill argues for deconstruction. But her mind is so open, her brains are falling out. you can safely ignore whatever she has to say.  
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Begging the Question   show
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show God exists becasue the bible says so. But how do I know that what the bible says is true? Because its God' word.  
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False Dilemma   show
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show I do not know whether God's existence can be proven, but I do know that each person must be either a theist or an atheist. And by your own admission, you're no theist. Therefore, you must be an atheist.  
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Appeal to Unreliable Authority   show
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Appeal to unreliable authority Example   show
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show Illegitimately assuming that one possible cause of a phenomenon is ar (or the) cause although reasons are lacking for excluding other possible clauses.  
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False Cause of Fallacy Example   show
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show Asking a question that illegitimately presupposes some conclusion alluded in the question.  
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Complex Question Example   show
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