Week 8 Lecture 7 - reasoning Flashcards
What is inductive reasoning
Start with a premise and arrive at a conclusion
What is deductive reasoning?
Given a premise is true you can move towards a true conclusion (strict logic)
What are the 2 kinds of deductive reasoning?
- syllogisms
- propositional reasoning
What do syllogisms typically comprise of?
two premises and a conclusion, and involve the quantifiers all, no, some, and some…not
What do you conclude with a syllogism?
given relationship between A and B AND B and C
can conclude something about A and C
How might heuristics explain people’s difficulties with syllogisms?
Atmosphere theory
- the mood of the premises influences judgments about what the mood of the conclusion should be
- “Mood” means whether the statement is affirmative or negative, and whether it is universal or particular
- E.g., “all…” is universal and affirmative, whereas “some are not…” is particular and negative
What evidence is there for heuristics explaining syllogisms?
- ppts matched mood of premise to mood of conclusion even though there was no correct answer
- provides evidence for atmosphere theory
- however, doesn’t explain why people sometimes correctly infer “no valid
conclusion”
How might comprehension explain syllogism difficulties?
“Errors” in syllogistic reasoning partly reflect differences between the use of language in formal logic and in everyday life.
What evidence is there for comprehension as an explanation of syllogism difficulties?
Clarifying premises greatly reduces the “error” rates
(Ceraso & Provitera, 1971)
How mental models might explain difficulties in understanding syllogisms.
What are the steps involved in this approach?
- Step 1 Construct a mental model of world implied by premises
- Step 2 Make a composite model and draw a conclusion
- Step 3 Validate by searching for alternative models and checking they don’t contradict the conclusion
What are the 2 types of mental models?
single and multiple
In multiple mental models, the more alternative models are considered, the more likely one is to draw the correct conclusion (example of a research premise)
What does this require more of though?
time, effort, mental capacity
What did evidence about multiple mental models for syllogisms find?
- More possible models = less accurate + slower
- Higher working memory = faster and more accurate
- But not direct evidence for model construction/validation
What did a study directly testing the generation of alternative models in mental models of syllogisms find?
“reasoners are able to construct alternative models…but [they] normally construct only one”
How might framing and experience explain difficulties in understanding syllogisms?
Syllogistic reasoning is affected by the framing of the problem and the participant’s prior experiences.