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Validity
An argument is valid if, and only if, it is not possible both that (1) all the premisses are true, and (2) the conclusion is false
Soundness
An argument is sound if, and only if, the argument is both (1) valid, and (2) all the premises are true
Inductive Arguments
An ampliative argument in which the premisses, if true, make it probable that the conclusion is true as well
Deductive Arguments
Constructed such that, if all the premisses are true, the conclusion cannot be false
Statistical Generalization
A sentence that states that some proportion of members of one class are members of another class
Universal Generalization
A sentence that states that all or none of the members of one class are members of another class
Ambiguity
When a word or expression has several distinct, non overlapping meanings
Vagueness
When a term has borderline areas in which it is unclear whether or not the term applies, or if it has several overlapping meanings
Use
Refer to something
Mention
Talk about the word
Fallacy
An argument in which the premisses provide only very weak support, or no real support, for the conclusion
Extensional Definition
The extension of a term consists of all the objects (or individuals) to which the term may be correctly applied
Explicit Extensional Definition
All the items in the set/class
Denotative Definition
Partial list of items in set/class
Ostensive Definition
A nonverbal form of definition in which pointing or some other way of indicating the extension of a term is used to give the meaning of the term
Intensional Definition
The intension of a term is the set of properties (or attributes) shared by all and only those objects to which the term refers
Lexical Definition
To present the accepted standard use of a term
Stipulative Definition
To introduce a new term into the language
Precising Definition
Reduce the vagueness of a term
Theoretical Definition
To construct a theory; explicit or implicit
Persuasive Definition
To express or evoke an attitude towards things referred to by the term
Operational Definition
Specifies a publicly observable and repeatable operation with a specified outcome that determines whether a sentence containing the expression is correctly applicable to a given situation
Synonymous-type Definition
Definition of a term that gives its term/phrase or anything with similar meaning
Statistical Syllogism
An inductive form that closely resembles the deductive form of syllogism, but its general premiss is a syllogism, but its general premiss is a statistical generalization rather than a universal generalization
Fallacious Appeal to Pity
Sympathy or pity for the circumstances of a particular person is inappropriately put forth or accepted as evidence for a conclusion
Fallacious Appeal to Force
A threat of force is inappropriately put forth or accepted as evidence for a conclusion
Fallacy of Equivocation
The use of an ambiguous expression in more than one of its senses in a single context
Fallacy of Incomplete Evidence
Occurs when the requirement of taking account of all relevant available evidence is violated
Fallacy of Black-and-white Thinking
A mistake in reasoning that occurs when it is supposed that only two alternatives are available although in fact others are possible
Fallacious Argument from Authority
When the authority cited is not a genuine expert in the field of concern, when the authority is speaking outside their field of expertise, or when experts in the area of concern disagree among themselves
Fallacious Argument from Consensus
When majority opinion does not constitute a good reason to believe the truth or falsity of a statement
Fallacy of Ad Hominem Circumstantial
Inappropriate attack of the person’s circumstances
Fallacy of Ad hominem Abusive
Inappropriate attack on the character of the person
Fallacy of Ad Hominem tu Quoque
Inappropriate attack of the person for being associated with the position criticized in the argument; criticize for being inconsistent
Fallacy of Biased Statistics
Committed when the sample used in an inductive generalization lacks the required variety and is thus, not representative
Fallacy of Circular Reasoning
Assumes as a premise just what one tries to prove in the conclusion
Fallacy of False Analogy
Committed when an attempt to establish a conclusion is on the basis of irrelevant analogies
Fallacy of Hasty Generalization
Committed when sample size of an inductive generalization is not big enough
Fallacy of Misleading Vividness
committed when an inductive generalization that is strongly supported by premises citing sufficient and unbiased statistics is rejected
Fallacy of Slippery Slope
Committed when one reasons about something like tumbling dominoes
Causal Argument
An argument that states that a causal relationship holds (or fails to hold) between two tpes of things or events; conclusion is a causal claim
Causal Claims
Statements about causes
Antecedent Circumstances
The events or conditions that occurred earlier
Mill’s Method of Agreement
A way to identify the cause of a phenomenon by finding the single circumstance that is common to all instances where the phenomenon occurs
Mill’s Method of Difference
If an instance where a phenomenon occurs and an instance where it does not occur have every circumstance in common except for one, then that single differing circumstance is the cause or effect of the phenomenon
Mill’s Method of Residues
Use known causes to account for as much of the complex effect as possible and then invoke an additional cause to account for the remainder
Mill’s Joint Method of Agreement and Difference
Combines the methods of agreement and difference to more strongly establish a causal link between a factor and a phenomenon
Mill’s Method of Concomitant Variation
A logical technique for inferring a causal relationship by observing that when one phenomenon changes, another phenomenon also changes
Necessary Conditions
Without A, B will not occur
Sufficient Conditions
Whenever A occurs, B will also occur