Chapter 3 Flashcards
Conditional statement
If ‘p’ then ‘q’ : Asserts that something is true based on a certain condition
Antecedent
The “p” in the conditional statement formula - where “q” is claimed to be true
Consequent
The “q” in the conditional statement formula - what is claimed to follow if ‘p’ is true
Deductive argument
Claims that the premises provide logically conclusive support for the conclusion
VALID or INVALID
Inductive argument
Claims that the premises provide probably support for the conclusion
STRONG or WEAK
Valid argument
A deductive argument that succeeds in providing conclusive support for its conclusion
Invalid argument
A deductive argument that fails to provide conclusive support for its conclusion
Sound argument
Deductively valid argument with true premises
Truth-preserving
Defining characteristics of valid deductive argument: their structure guarantees that if the premises are true so also are the conclusions
Strong argument
Inductive argument that provides highly probable support for its conclusion
Weak argument
Inductive argument that fails to provide strong support for its conclusion
Cogent argument
a strong, inductive argument with all premises true
Dependent premise
Must be combined with one or more other premises to support the conclusion
Independent premise
Provides support for the conclusion on its own
Syllogism
Deductive argument consisting of two premises and one conclusion
Common valid deductive forms
- Affirming the antecedent 2. Denying the consequent 3. Disjunctive syllogism 4. Hypothetical syllogism
Affirming the antecedent
if ‘p’ then ‘q’, ‘p’; therefore ‘q’ If Spot barks, a burglar is in the house. Spot is barking. Therefore, a burglar is in the house.