LECTURE 11 - Reasoning/Problem-Solving Flashcards
what are inductive and deductive reasoning?
- inductive: involves using specific observations, experiences, and real examples to infer general theories about the world
- deductive: involves moving from general knowledge and principles to more specific knowledge and examples
when do we use inductive reasoning in research?
- when we base a hypothesis, theory, or conclusion on a single observation or series of single observations
- or when one single observation is used as a confirmation of a theory or hypothesis
in what way can inductive reasoning be problematic?
example scenario…
* all the swans we see are white, therefore all swans are white
* but this is not the case, we used past experience to make predictions about novel cases
what is property induction?
- when we generalize properties or features from one example of a category to another or to all members of a category
- ex. the sum of two even numbers is always even
what is premise-conclusion similarity?
we are generally more likely to accept a conclusion if the premise is similar to the conclusion
what is premise typicality?
we are generally more likely to accept a conclusion if the premise is about a typical representative of a category
what is premise diversity?
we are generally more likely to accept a conclusion if the premise includes aspects of diversity
what is premise monotonicity?
we are generally more likely to accept a conclusion if the premise includes many different examples
what is modus ponens?
- “affirming the antecedent”
- a form of deductive reasoning
- where if you have an “if-then” statement (P->Q), and the antecedent P is true, then you can conclude with certainty that the consequent Q is also true
example:
* if it rains, then the ground gets wet
* it rains, therefore, the ground gets wet
what is modus tollens?
- “denying the consequent”
- could be considered as the opposite of modus ponens
- form of deductive reasoning
- if a conditional statement (P->Q) is true and the consequent (Q) is false, then the antecedent (P) must also be false
what is denial of the antecendent?
- you cannot conclude that if P is false, then Q is false
- this is a common logical fallacy/error
- “henrietta is not a chicken, so henrietta lays no eggs” this is wrong
what is affirmation of the consequent?
- you cannot conclude that if Q is true, P is true as well
- another common logical fallacy/error
- “henrietta lays eggs. henrietta is a chicken” this is wrong
what are syllogisms? what are their limitations?
- two types of deductive reasoning: modus ponens and tollens
- conclusion is drawn from two given propositions (premises)
- deductive reasoning only works if the premises are true, and we can only know if our premises are true through induction
- we can never be absolutely certain that our premises are true
what is the Wason selection task?
- conditional rule: if there is a vowel on one side of the card, then there is an even number on the other side of the card
- modus ponens (confirming the rule): turning over the E checks if a vowel has an even number, this supports the rule
- modus tollens (falsifying the rule): turning over the 7 checks if an odd number has a vowel, this could disprove the rule
- people often turn over 4 instead of 7, even though 4 can’t disprove the rule, this is confirmation bias
what is confirmation bias?
- favouring of evidence that supports one’s beliefs, expectations, or hypotheses
- in the Wason selection task, people tend to choose the card that is consistent with their hypothesis
what is causal reasoning?
- ability to understand why something happens, to determine the causes of specific effects
- causal relationships have directionality, the causes precede effects
- causal launching: causation associated with direction
why is causal reasoning difficult?
- causes are usually probabilistic, the presence of a cause does not guarantee an effect
- causes are frequently unobservable and need to be inferred
what cues are used to determine causal relationships?
- covariation: the likelihood of two events occurring together, is necessary but not sufficient to determine causation
- temporal order: the arrangement of events over time, if A occurs before B, then it is more likely that A causes B
- intervention: observing the consequences of one’s own actions, changing one event and observing the effect on another (experiments)
what are illusory correlations?
- when people make connections between variables that have no relation to each other
- tend to occur for statistically infrequent events (winning an important match and linking the win to the clothing you wore)
- can lead to superstitious behaviour
what is counterfactual reasoning?
- considering alternative outcomes, contrary to what has already occurred in reality
- “what if I had done X. would Y have happened?”
- important for causal reasoning because people use mental replay to understand the causes of events
- helps us understand past events and plan for future behaviours/potential outcomes
- also an important form of coping in clinical settings
what is bayesian inference?
- we estimate the probability of a hypothesis being true based on the evidence at hand
- brain infers new information from material that is available
- also takes into account the way we adjust our predictions from one experience to the next
what is problem solving?
- the effort directed toward finding ways to overcome obstacles in order to obtain one’s goals
- actions need to be determined and enacted in order to move from a given state to a goal state
what is insight?
- the process of suddenly gaining a solution to a problem
- eye movement patterns can predict an insight moment in the “connect all the dots” task
what is analogical reasoning?
- helps people find solutions by transferring their knowledge from other problems
- requires people to recognize similarities between a new problem and older problems that they know how to solve