1.3- Deduction and Induction Flashcards
What two groups can arguments be divided into?
Deductive and Inductive Arguments
Deductive Arguments
An argument in which we expect the conclusion to follow necessarily from the premises. (Impossible for the conclusion to be false, if the premises are all true).
Inductive Arguments
An argument in which we expect the conclusion to follow only probably from the premises. (“Highly likely”, etc.)
What are three factors that bear on the distinction of arguments?
1) The occurrence of special indicator words.
2) The nature of the inferential link between premises and conclusion. (Expectations of necessity or probability).
3) the character or form of argumentation the arguer uses.
What are five types of argumentation that are typically deducative?
1) Argument Based on Mathematics
2) Argument from Definition
3) Categorical Syllogism
4) Hypothetical Syllogism.
5) Disjunctive Syllogism
Argument Based on Mathematics
Based on mathematical computation or measurement (except those based on statistics).
Argument from Definition
The conclusion is based on the definition of some word or phrase in the premise or conclusion.
Categorical Syllogism
A syllogism in which each statement begins with one of the words “all”, “some”, or “no”. (Relating groups, typically).
Hypothetical Syllogism
A syllogism has a conditional statement for one or both of its premises.
Disjunctive Syllogism
A syllogism having a disjunctive statement for one or both of its premises. (Has an “or” statement).
What are typically inductive forms of argumentation?
1) Prediction
2) Argument from Analogy
3) Inductive Generalization
4) Argument from Authority
5) Argument Based on Signs
6) Causal Inference
Predication
Premises deal with some known event in the present or past, and the conclusion speculates about the future- the future cannot be known with certainty.
Argument from Analogy
Depends on the existence of an analogy or similarity between two things or states of affairs; because of the existence of the analogy, a certain condition that affects the better-known thing or situation is concluded to affect the lesser-known thing or situation.
Inductive Generalization
An argument that proceeds from the knowledge of a selected sample to some claim about the whole group.
Argument from Authority
An argument in which the conclusion rests upon a statement made by some presumed authority or witness.