what is reasoning?
what are the 2 types of logical reasoning?
what is inductive reasoning?
what is deductive reasoning?
Reaching a specific, logical conclusion from general statements or hypotheses
what is the structure of deductive reasoning?
how is deductive reasoning related to problem solving?
○ Goal is to solve the reasoning task, but the solution isn’t always obvious!
what are the two types of decuctive reasoning?
what is conditional reasoning?
(reasoning with if)
○ Conditions behind the reasoning (if… then)
○ Logical operators included in premises
○ e.g., or, and, if … then, if and only if
conclusions can be valid or invalid
what are the 4 types of conditional reasoning problems?
what is modus ponens?
AFFIRMATIVE (everything is true)
if A is true,
then B is true,
A is ture
therefore, B is true
conclusions are valid
what is modus tollens?
NEGATIVE (everything is not true)
if A is true,
then B is true,
B is not true
therefore, A is not true
conclusions are valid
what is affirmation of the consequent?
AFFIRMATIVE
if A is ture,
then B is true
B is true
therefore A is ture
conclusions are invalid
what is denial of the antecedent?
NEGATIVE
if A is true
then B is true
A is not ture
therefore B is not true
conclusions are invalid
how is deductive reasoning equal to unintrested reasoning?
what is the importance of prior knowledge?
markowitz et al (2013)
PROBLEM (1)
If a rock is thrown at a window, then it will break
A window is broken.
Therefore, a rock was thrown at the window
PROBLEM (2)
If a finger is cut, then it will bleed
A finger is bleeding Therefore, the finger was cut
what is statistical strategy when referring to the importance of prior knowledge?
Estimate the probability that a conclusion is valid based on what we know about the world
Limited time to accept/reject conclusion
Less cognitively demanding
what is couterexample starategy when referring to the importance of prior knowledge?
Try to think of counterexamples that contradict the conclusion
unlimited time to accept/reject conclusion
○ More cognitively demanding
what is syllogistic reasoning?
○ Consists of two premises followed by a conclusion that is either valid or invalid
○ Contains three items, with one occurring in both premises
○ Premises and conclusions contain quantifiers e.g., all, some, no, some … not
what does the valiudity of the conclusion in systollic reasoning depend on?
what are belief biases in systological reasoning?
causes errors in syllogistic reasoning
○ Accept invalid conclusions if they are believable - more likely to accept
○ Reject valid conclusions if they are unbelievable-
Own experiences influence decisions- respond to conclusion in a certain way
what are the two influential theories of logic-based reasoning?
what is the mental model (logic-based reasoning)?
Create a visual image of the problem, using premises and conclusions
what are dual-systems (logic-based reasoning)?
○ Unconscious (get to simplest conclusion as quickly as possible), heuristic-based process
○ Conscious (use conscious thinking to get to conclusion analytically), analytical process
what are the assumptions of the mental model?