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Deductive Reasoning
the conclusion follows necessarily from the premises; if you accept the premises u must accept the conclusion; rigid structure; if you don’t accept you are engaging in a fallacy
Inductive Reasoning
if you accept the premises to be true, then it is reasonable for the conclusion to be accepted and true
Validity
if we accept the premises we must accept the conclusion, but doesn’t guarantee the conclusion is actually true; doesn’t have to be sound to be valid
Soundness
it has to be valid first and the premises must be true, which means the conclusion is also true; strongest argument you can achieve
Modus Ponens
affirming the antecedent, always valid
Modus Tollens
denying the consequent, always valid
Affirming/denying the antecedent/consequent
antecedent = if, consequent = then; affirming the consequent is always invalid, denying the antecedent is also invalid (doesn’t cover all of the scenarios)
Base rate neglect fallacy
assume something to be an overestimate because we don’t account for the real prevalence; best example is false positive; base rate important for understanding probability of the outcome
Phonemes
smallest unit of sound in language (ex: 4 or 5 phonemes in the word giraffe)
Morphemes
smallest unit of meaning (only one if the word giraffe)
Motor Theory
the physical position of the mouth will lead us to predict what sounds will come from it; species specificity - only certain species can perceive speech
Auditory Theory
the auditory systems are what allow us to interpret speech; matter of sound not physical motions
Chomsky’s universal grammar
humans have some innate mechanism inborn that allows us to interpret the grammars of language; poverty of stimulus argument
Poverty of stimulus argument
external stimuli alone are not sufficient to learn complex linguistic rules; there must also be some innate understanding
Syntax
how the words in a sentence relate to each, the relationship will often be dictated in the order the words are presented
Active versus passive sentences
active sentences are preferred, quicker to interpret
Garden path sentences
run on sentences that are unclear about the subject and verb
Aphasia (Wernicke’s and Broca’s)
Wernicke’s = deficit in the comprehension of language, Broca’s = deficit to the production of language
Aspects of problems
4 aspects = goals, givens, means of transforming conditions, obstacles
Problem space
mental representation of the problem
Task environment
external factors outside the self related to the problem
Problem state
in the problem space; minimum of 2 problem states - initial state and the goal state
Problem operator
in the problem space; the means by which the problem moves from one state to the next; what you do to fix the problem
Well vs Ill defined problems
well defined problem = clear cut on what you’re trying to achieve and how ex:puzzle; ill defined = ambiguous and vague impression of what to be achieved
Algorithms
searches every possibility for the best solutions; disadvantage = highly time and resource consuming; guaranteed but highly inefficient
Heuristics (hill climbing and means end analysis)
cognitive shortcut because we can’t rely on algorithms; hill climbing = consider the problem operators and choose the one we believe will get us closest to the goal; no guarantee highly efficient
Functional fixedness
inability to view/use object as anything but its original purpose
Normative models
what we ought to do if we’re rational beings
Descriptive models
how we actually behave
Expected value theory
normative; follow the math; very problematic
Expected utility theory
normative; still be consistent with all of our decisions
Prospect theory
descriptive; subjective probability - relates to an individual’s perception
Regret theory
descriptive; possible explanation for the certainty effect
Transitivity principle
if A is preferred over B, and B is preferred over C, then A is preferred over C
Non contradictory principle
if A is preferred over B, the B is not preferred over A
Violations of normative principles
complex dynamics may influence our perspectives on how candidates compare to each other; contextual details may influence the preference
Risk seeking vs risk aversive (and framing effects)
more likely to be risk seeking when problems framed in terms of loss; more likely to be risk aversive when problems framed positively
Availability heuristic
when I make a decision I may be biased by what comes to mind first
Representativeness heuristic
more likely to believe it’s true if it’s representative of the category it belongs to
Anchoring and adjustment heuristic
people make estimates on the basis of some starting or baseline value and adjust from there
Simulation heuristic
mentally simulating and envisioning scenarios to figure out what could have been done differently
Fast and frugal theory
instead of focusing on when heuristics fail we focus on when they succeed
Conjunction fallacy
tied to representativeness heuristic; a cognitive error where a person believes two events together are more likely to occur than either on their own
Optimizing
most basic approach to examine every option and select the best one
Satisficing
decision maker declines to review every single option and instead decides from a smaller subset of options
Elimination by aspects
some aspect is considered and any option not meeting it is eliminated