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PHI1600: Basics Cheat Sheet (DRAFT) by

This is a draft cheat sheet. It is a work in progress and is not finished yet.

Logic

Definition: [defin­ition]
Goal: [defin­ition]
Purpose: [defin­ition]

Arguments, etc.

Argument: [defin­ition]
Premises: [defin­ition]
Conclu­sion: [defin­ition]

Reasoning

Inference: [defin­ition]
Style: [defin­ition]
Efficacy: [defin­ition]
Justif­ica­tion: [defin­ition]
Ration­ality: [defin­ition]
Rational: [defin­ition]
Irrati­onal: [defin­ition]

Statements

Content: [defin­ition]
Force: [defin­ition]
Expression: [defin­ition]

Styles of Inference

Deductive:
Inductive:

Deduction

 

Induction

 
 

Dimensions of Reasoning

Infere­ntial: the varying infere­ntial relations premises and conclu­sions stand in when connected together via reasoning
Repres­ent­ati­onal: the varying degrees of accuracy statements exhibit when connected with reality via assertion and belief

Norms of Reasoning

Ration­ality: norm for evaluating the infere­ntial dimension of arguments
Rational: premises succes­sfully justify the inferred conclusion
[positive infere­ntial "value"]
Irrati­onal: premises fail to justify the inferred conclusion
[negative infere­ntial "­val­ue"]
Accuracy: norm for evaluating the repres­ent­ational dimension of arguments
True: positive infere­ntial "­val­ue"
Irrati­onal: negative ver "­val­ue"
Inaccu­rate: statement succes­sfully

[positive repres­ent­ational "value"]


False: statement fails to veridi­cally represent the actual facts

[negative repres­ent­ational "­val­ue"]
 

Recogn­izing Statements

1. Indicator Words
 
2. Common Types of Non-St­atement
·  Commands
·  Proposals
·  Requests

Recogn­izing Arguments

1. Indicator Words
2. Logical Order
3. Background Context
4. Common Types of Argument
5. Common Types of Non-Ar­gument

Assessing Validty

 

Form & Substi­tution

 

Assessing Validity, Pt. 2

 

Condit­ional Statements

 

Common Non-Ar­guments

∙[defi­nition]
∙ Advice
∙ Assertion
∙ Descri­ption
∙ Explan­ation
∙ Exposition
∙ Illust­raction
∙ Reporting
∙ Quotation
∙ Warning

Validity vs. Strength: Simila­rities

1. Both depend on whether the truth-­con­ditions of the premises and the truth-­con­ditions of the conclusion are correctly related.
2. Neither depend on the actual true-value of the premises or the conclu­sion.

Validity vs. Strength: Differ­ences

1. Only deductive inferences can be valid/­inv­alid, and only inductive inferences can be strong­/weak.
2. When the premises in a valid argument are all true, it's impossible the conclusion is false. When the premises in a strong argument are all true, it's only improbable the conclusion is false.
3. Validity is all-­o­r‐n­othing, but strength is a matter of degree.
1.


For strong arguments, when

it is still For strong arguments, even if the premises are true, the conclusion can s9ll be false.