3.4 Outline
- Introduction
- theorem
- syllogism
- Direct reasoning
- definition
- modus ponens
- law of detachment
- assuming the antecedent
- Indirect reasoning
- definition
- modus tollens
- denying the consequent
- Transitive reasoning
- definition
- formulate a conclusion
- Logical proof
- Fallacies
- fallacy of the converse
- also called fallacy of assuming the consequent
- counterexample
- fallacy of the inverse
- also called fallacy of assuming the consequent
- counterexample
- fallacy of the inverse
- fallacy of the antecedent
- test validity
- false chain pattern
- fallacy of the converse
3.4 Essential Ideas
There are three types of syllogisms considered in the text:
These forms can be mixed together in a single problem.
In addition there are three common logical fallacies considered:
Remember this forms are NOT valid: