Deductive Reasoning Flashcards
What does deductive reasoning allow us to do?
allows us to draw conclusions that are definitely valid provided that the other statements are assumed to be true
What is conditional reasoning?
form of deductive reasoning based on if…then propositions ‘if it is raining then there will be clouds in the sky’
involves deciding something based on knowledge about something else
Give features of deductive reasoning
- From general to specific
- Brings out what was already implicit in the information. Does not add more information than contained in the premises. Leads to conclusions that are necessarily (not just possibly) true
What are P and Q in deductive reasoning?
p = antecedent q = consequent
What is the modus ponens rule?
affirming the antecedent: If P then Q
What is the modus tollens rule?
If q is false then p is false
What is the affirmation of the consequent rule?
If q is true, then is p true: not necessarily
What is denial of the antecedent?
If p is false then is q false? Not necessarily
Are modus ponens and modus tollens valid or invalid?
valid
Is the affirmation of the consequent and denial of the antecedent valid or invalid?
Invalid
On hypothesis testing with a conditional rule are discrepancies in performance with a concrete example being better than a more abstract version because of concrete vs abstract rules or familiar vs unfamiliar rules?
Neither of them
Some concrete rules don’t improve performance
Some unfamiliar rules improve performance
What is syllogism?
a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true
What are mistakes with syllogistic reasoning?
- Biases: People accept believable conclusions and reject unbelievable conclusions irrespective of their logical validity
- Belief bias effect: people accept conclusions that fit with their beliefs and reject assertions that don’t fit with their beliefs
- Dube et al. (2010): believability is important for syllogistic reasoning tasks
What is the Wason selection task used to study reasoning performance affected by?
Content and context
What do the rules of logic in our head suggest about how people make inferences?
Suggests that people construct mental stimulations of possibilities and base their inferences of these simulations
What are errors with abstract rules due to?
§ Limitations of working memory capacity
§ Failure to apply specific rule
§ Reinterpretation of rule
What is the mental models theory proposed by Johnso-Laird?
People use the information contained in the premises to construct a mental model
- A mental model describing the given situation is constructed and the conclusions that follow are generated
- An attempt is made to construct alternative models to falsify the conclusion by finding counterexamples to the conclusion. If a counterexample model is not found the conclusion is assumed to be valid
- The construction of mental models involves the limited resources of working memory.
What is the probabilistic approach?
- Uncertain rather than certain reasoning
- Goal: increase knowledge, not achieve certainty
What does Oaksford (1997) think about deductive reasoning tasks?
- People don’t really reason deductively on deductive reasoning tasks
- People engage in probabilistic reasoning
- Result of everyday experience
What is the dual systems theory?
- Evans (2003)
§ System 1 processes: rapid, parallel and automatic (heuristic)
§ System 2 processes: slow and serial in nature (analytic) - When you make a decision with your ‘gut’ it might be a decision that is based on system 1
- When you make a more conscious deliberative decision it might be thought to involve system 2 processes more heavily
do most individual differences occur in system 1 or system 2 (dual systems theory)
System 2
Are people with a higher IQ more or less susceptible to belief bias effect?
Less susceptible
What are criticisms for the dual systems theory?
- Multiple and vague definitions
- Features for behaviours that are thought to belong to one system are not always observed together
- Evidence for two separate systems? Or does thinking behaviour operate on a single continuum
How does stress affect thinking and decision making?
- Unsystematic and hurried decisions
- Narrowing of attention, increased distraction increases in reaction time and deficits in working memory