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Chapter 1 Sections 1-4
Patrick Hurley's "A Concise Introduction to Logic"
31
Mathematics
Undergraduate 1
02/12/2014

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Term
Logic
Definition
The organized body of knowledge, or science, that evaluates arguments
Term
Argument
Definition
A group of statements, one or more of which (the premises) are claimed to provide support for one of the others (the conclusion)
Term
Statement
Definition
A sentence that is either true or false
Term
Truth Values
Definition
Truth and falsity
Term
Premises
Definition
Statements that set forth the reasons or evidence
Term
Conclusion
Definition
Statement that the evidence is claiming to support or imply
Term
Inference
Definition
The reasoning process expressed by an argument (used interchangeably with "argument")
Term
Proposition
Definition
The meaning or information content of a statement (used interchangeably with "statement")
Term
Syllogistic Logic
Definition
Fundamental elements are terms and arguments are evakuated as good or bad
Term
Modal Logic
Definition
The kind of logic that involves such concepts as possibility, necessity, belief, and doubt
Term
Factual Claim
Definition
at least one of the statements must claim to present evidence or reasoning
Term
Inferential Claim
Definition
There must b a claim that the alleged evidence supports or implies something
Term
Piece of Evidence
Definition
A form of expression that makes a recommendation about some future decision or course of conduct
Term
Statement belief/Opinion
Definition
An expression about what someone happens to believe or think about something
Term
Loosely Associated Statements
Definition
May be about the same general subject, but they lack a claim that one of them is proved by others
Term
Expository Passage
Definition
A kind of discourse that begins with a topic sentence followed by one or more sentences that develop the topic sentence
Term
Explanandum
Definition
The statement that describes the event or phenomenon to be explained
Term
Explanus
Definition
The statement (/group of) that purports (=implication) to do the explaining
Term
Antecedent
Definition
The component statement immediately following the "if" of a conditional statement
Term
Consequent
Definition
Follows "then" in a conditional statement
Term
Deductive Argument
Definition
An argument incorporating the claim that it is IMPOSSIBLE for the conclusion to be flase, given the premises are true
Term
Inductive Argument
Definition
An argument incorporating the claim that it is IMPROBABLE that the conclusion be false given that the premises are true
Term
Valid Deductive Argument
Definition
An argument in which it is IMPOSSIBLE for the conclusion to be false given that the premises are true
Term
Invalid Deductive Argument
Definition
A deductive argument in which it IS POSSIBLE for the conclusion to be false given that the premises are true
Term
Sound Argument
Definition
A deductive argument that is VALID and has ALL TRUE PREMISES
Term
Unsound Argument
Definition
A deductive argument that is invalid, has one or more false premises, or both
Term
Strong Inductive Argument
Definition
An inductive argument in which it is improbable that the conclusion be false given that the premises are true
Term
Weak Inductive Argument
Definition
An argument in which the conclusion does not follow probably from the premises, even though it is claimed to
Term
Cognat Argument
Definition
An inductive argument that is STRONG and has ALL TRUE premises
Term
Uncogent Argument
Definition
An inductive argument that is weak, has one or more false premises, fails to meet the total evidence requirement, or any combo of these
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