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Logic - Chapter
Logic Terms and Concepts
40
Philosophy
Undergraduate 2
06/18/2013

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Term
Logic
Definition
The organized body of knowledge, or science, that evaluates arguments.
Term
Arguments
Definition
Groups of statements, one or more of which (the premises) are claimed to provide support for, or reasons to believe, one of the others (the conclusion).
Term
Statements
Definition
Sentences that are either true or false—in other words, typically a declarative sentence or a sentence component that could stand as a declarative as a declarative sentence.
Term
Truth value
Definition
True or false
Term
Conclusion Indicators
Definition

therefore,  accordingly, entails that, wherefore,  

hence, thus,  it must be that, it follows that,     

consequently,  for this reason,          

implies that we may infer,  

so as a result,           

we may conclude

Term
Premise Indicators
Definition

since, in that, seeing that,  as indicated by,

          may be inferred from, for the reason that,                   because, as inasmuch as, for, given that, owing to

Term
Inference
Definition
The reasoning process expressed by an argument.
Term
Proposition
Definition
The meaning or information content of a statement
Term

Two conditions that must be fulfilled for a passage to purport to prove something:

Definition

1. At least one of the statements must claim to present evidence or reasons. (The first condition expresses a factal claim, is beyond logic, and will not be dealt with). 


2. There must be a claim that the alleged evidence or reasons supports or implies something—that is, a claim that something follows from the alleged evidence. (The second condition is an inferential claim that makes the claim or implication that something follows or is supported by what preceded.)

Term
Explicit
Definition
Inferential claims are usually asserted by premise or conclusion indicators (thus, since, because, hence, therefore) 
Term
Implicit
Definition
Implicit inferential claims exist when there is an inferential relationship between the statements on the passage.
Term
Nonineferntial Passages
Definition
Warning, piece of advice, statement of belief or opinion, loosely associated statements, reports.
Term
Expository Passages
Definition
Kinds of discourse that begin with a topic sentence followed by one or more sentences that develop the topic sentence. If the objective is only to expand it is not an argument.
Term
Illustration
Definition
Consists of a statement about a certain subject combined with a reference to one or more specific instances intended to exemplify that statement. Illustrations are often confused with arguments because many of them contain indicators words.
Term
Explanation
Definition
Purports to shed light on an event or phenomenon
Term
Conditional Statements
Definition
If..then statements. Not arguments.
Term
Deductive Argument
Definition
Claims that it is impossible for the conclusion to be false given the premises are true. The conclusion necessarily follows from the premise.
Term
Inductive Arguments
Definition
Claims that it is improbable that the conclusion is false. In other words, it is likely that the conclusion follows from the premises.
Term
Typical Deductive Arguments
Definition
Mathematics, from definition, and categorical, hypothetical and disjunctive syllogism.
Term
Definition Argument
Definition
Conclusion is claimed to depend ojn the definition of one word.
Term
Categorical Syllogism
Definition
Each statement begins with either all, no, or some, and it contains exactly two premises and a conclusion.
Term
Hypothetical Syllogism
Definition
Has a condition for one or both premises
Term
Disjunctive Syllogism
Definition
Has an either or statement for one of its premises.
Term
Typical Inductive Arguments
Definition
Mathematics, from definition, and categorical, hypothetical and disjunctive syllogism.
Term
Prediction
Definition
Use of the past to make a claim about the future.
Term
Analogy
Definition
Depends on analogy or similarity between two things.
Term
Generalization
Definition
Proceeds from an individual sample to the whole group.
Term
Authority
Definition
Based on an expert or witness
Term
Signs
Definition
Based on a sign to knowledge of the things or situation that the sign symbolizes.
Term
Causal Inference
Definition
Based on cause and effect and vice versa
Term
Deductive Arguments
Definition
Are either valid or invalid
Term
Valid
Definition
Conclusion must be true if premises are true.
Term
Invalid
Definition
False conclusion with true premises.
Term
Sound
Definition
Deductive argument that is valid and has true premises.
Term
Unsound
Definition
Deductive Argument that is valid and has true premises.
Term
Inductive Arguments
Definition
Either strong or weak, cogent or uncogent.
Term
Strong
Definition
Improbable that conclusion is false given the premises are true.
Term
Weak
Definition
Conclusion does not probably follow the premises.
Term
Cogent
Definition
A strong inductive arguments with true premises.
Term
Uncogent
Definition
A weak inductive with a false premise.
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