Thinking, Problem Solving, and Language

Thinking, Problem Solving, and Language: Your EPPP Guide

This lesson covers how people categorize, solve problems, decide, reason, use language, create, and steer their own thinking. The EPPP loves look-alike pairs here: prototype vs. exemplar, mental set vs. functional fixedness, deductive vs. inductive, divergent vs. convergent. Learn the pairs and you pick up easy points.

It matters clinically too. A client who keeps using a coping plan that stopped working is stuck in a mental set. Naming the process tells you where to aim.

Concepts: How Your Mind Files Things

Cognition is thinking. It includes perceiving, knowing, judging, solving problems, using language, and remembering. To handle all that input, the mind sorts it into concepts: categories of ideas, images, objects, and experiences. Concepts work like folders on your laptop. Each new file goes where you can find it later.

Natural vs. Artificial Concepts

Natural concepts come from experience, direct or indirect. You know "snow" from shoveling it or from movies. Artificial concepts are defined by a fixed set of features that always apply. An even number is any whole number divisible by 2, no exceptions.

Prototypes vs. Exemplars

Rosch (1973) showed that natural categories have a graded structure: some members are better examples than others. A robin is a more typical bird than a penguin. Typical members are learned more easily and confirmed faster.

Two theories explain how you decide what belongs:

• Prototype theory: You compare a new item to one mental summary of the category, its central tendency or best example. That summary is the prototype.
• Exemplar theory: You compare a new item to many stored individual members you have actually met. No single summary, just a crowd of remembered cases.

Prototype is a sketch artist blending many witness descriptions into one "average face." Exemplar is flipping through the whole photo lineup, one real face at a time.

They're often taught as rivals, but brain imaging suggests people can form both kinds, even within one learning task (Bowman et al., 2020).

Schemas, Scripts, and Role Schemas

A schema is a cluster of related concepts, an organized package of knowledge (Bartlett, 1932). When a schema switches on, your mind fills gaps and makes instant assumptions. That's fast, and it can be wrong.

• A role schema holds expectations about how people in a role behave. Hear that someone is a surgeon and you may assume "confident and decisive" before they say a word. This one may be painfully shy outside the operating room.
• An event schema, also called a cognitive script, is the expected sequence of actions in a familiar situation. At a sit-down restaurant you expect to be seated, order, eat, then pay. A server who asks for your card before you order breaks the script, and it feels wrong right away.

Event schemas run on autopilot, so they are hard to break. The phone-grabbing habit is one reason texting while driving is so hard to stop. Scripts also vary across cultures, as greeting rituals show.

Problem Solving: Strategies That Get You Unstuck

First, define the problem. Then pick a problem-solving strategy, a plan of action for finding a solution.

An algorithm is a baking recipe you follow to the gram. A heuristic is how your grandmother cooks: a pinch of this, taste, adjust. People reach for heuristics when time is short, information is too thin or too much, or the decision seems unimportant.

Means-Ends Analysis, Working Backward, and Subgoals

Three general heuristics show up again and again:

• Means-ends analysis (Newell and Simon): Compare where you are (the current state) with where you want to be (the goal state). Find the differences. Choose a move that shrinks them. Repeat from the new state.
• Working backward: Start at the goal and trace the steps back to now. Exam check-in is at 8:00. The drive takes 45 minutes, and you want 15 minutes of cushion. Count back: leave by 7:00.
• Subgoals: Break a big task into smaller steps. "Finish my dissertation" feels impossible. "Draft the methods section by Friday" does not.

Insight and Incubation

Insight is the "aha" moment. You suddenly see a problem in a new, non-obvious way, and the answer appears (Kounios & Beeman, 2014). Wolfgang Köhler described insight in chimpanzees as a sudden reorganization of the situation (his box studies appear in the Memory and Forgetting lesson). Pavlov repeated Köhler's box studies and got the same results, but argued insight builds gradually through conditioning and Thorndike-style trial and error (Windholz, 1984). For the exam, the classic pairing is Köhler = sudden insight, Thorndike = gradual trial and error.

Incubation means setting a problem aside before trying again. A meta-analysis found a real, positive incubation effect (Sio & Ormerod, 2009):

• Divergent thinking tasks (many possible answers) benefit more than insight puzzles.
• A longer working period before the break helps more.
• A demanding task during the break shrinks the effect. For verbal insight problems, an easy task beat pure rest.

It's like stepping away from a track you're mixing. You come back the next morning and hear right away that the bass is too loud.

Incubation is the second step in Wallas's stage model of creativity: preparation (gather and work the problem), incubation (step away), illumination (the idea arrives), and verification (test whether it works) (Zysman & Cipriani, 1992). Exam items like to ask which stage a scenario shows.

What Blocks Problem Solving

Mental Set

A mental set is sticking with an approach because it worked before, even after it has plainly stopped working. A DJ keeps dropping the track that packed the floor last month. Tonight's crowd is different, the floor is emptying, and the DJ reaches for the same track again.

Functional Fixedness and Duncker's Candle

Functional fixedness is a type of mental set. You see an object only in its usual role and miss its other uses.

In Duncker's candle problem, people get a candle, matches, and a box of thumbtacks. The task is to fix the candle to the wall and light it. The solution: empty the tack box, tack the box to the wall, and use it as a shelf for the candle. People struggle because they see the box as a container for tacks, not as a candle holder (Duncker, 1945; Kroneisen et al., 2021).

It isn't just a side effect of living with specialized tools. It appeared among the Shuar of Ecuador too, so it shows up in industrialized and nonindustrialized cultures alike (German & Barrett, 2005).

Quick test (also in the errors and shortcuts lesson): old method stuck, think mental set. Object's usual use stuck, think functional fixedness.

Where Heuristics and Biases Fit

Tversky and Kahneman (1974) described three judgment heuristics: representativeness, availability, and anchoring and adjustment. They are economical and usually effective, but they produce systematic, predictable errors. Confirmation bias and hindsight bias are close cousins. All five are taught in full in the Social Psychology lesson "Errors, Biases, and Heuristics." That lesson also adds a fourth heuristic, simulation, from Kahneman and Tversky's later work.

Decision Making

Two Systems: Fast and Slow

Dual-process theories say two kinds of thinking drive judgment. Kahneman's work uses the labels System 1 and System 2. Other researchers call them Type 1 and Type 2.

The Social Psychology lesson calls these automatic vs. controlled processing. The two pairs are closely related, not identical. System 2 supports hypothetical "what if" thinking and leans heavily on working memory (Evans & Stanovich, 2013). And System 1 is not the villain. Kahneman (2003) described intuitive thinking as generally skilled and successful. Biases are its occasional failures, not its normal output.

The Framing Effect

The framing effect means the same facts lead to different choices depending on how they are worded (Tversky & Kahneman, 1981). The core pattern:

• Gain frame (stress what can be saved or won): people become risk-averse and prefer the sure thing.
• Loss frame (stress what can be lost): people become risk-seeking and prefer the gamble.

A meta-analysis covering nearly 30,000 participants found framing to be reliable, with a small to moderate effect (Kühberger, 1998).

This matters in health care. When lung cancer outcomes were described as the chance of living rather than dying, surgery looked more attractive to patients, graduate students, and physicians alike (McNeil et al., 1982). "Nine out of ten people are alive a year later" and "one out of ten people dies within a year" state the same fact. They don't land the same way in the room.

Framing comes from the same Kahneman and Tversky body of work as prospect theory, which (with loss aversion) is taught in the Persuasion lesson.

Overconfidence

Overconfidence comes in three forms (Moore & Healy, 2008):

1. Overestimation: believing you performed better than you did
2. Overplacement: believing you did better than others
3. Overprecision: being too sure your belief is exactly right

Task difficulty flips the first two. On hard tasks, people overestimate their own score but think they did worse than others. On easy tasks, the reverse. Overprecision appears to be the most persistent form. After a brutal practice block you think, "I got most of those right, but everyone else probably crushed it." That's the hard-task pattern.

Belief Perseverance

Belief perseverance is keeping a belief after the evidence that created it has been discredited. In a classic study, people got fake feedback that they had succeeded or failed at a task, then were fully debriefed that the feedback was random. Their impressions of their own ability stuck anyway, and so did observers' impressions (Ross et al., 1975). "Process" debriefing, which explained the perseverance effect itself, generally erased the false self-views.

A client hears a rumor that a coworker dislikes them. The rumor is fully retracted. The client still tenses up every time that coworker walks by.

Don't confuse it with confirmation bias, which is seeking and favoring evidence that fits what you already believe.

Reasoning: Deductive vs. Inductive

Deductive reasoning moves from a general premise to a specific conclusion. If the premises are true and the logic holds, the conclusion is true. A false premise can still produce a logical-looking wrong conclusion.

Inductive reasoning moves from specific observations to a general rule. The conclusion may or may not be true, no matter how many observations support it. Every therapist you've met drinks coffee, so you conclude all therapists drink coffee. Then you meet one who only drinks tea.

Syllogisms and Belief Bias

A syllogism is a deductive argument with two premises and a conclusion. Each statement takes one of four forms: All A are B, Some A are B, No A are B, or Some A are not B (Khemlani & Johnson-Laird, 2012). All poodles are dogs. All dogs are mammals. So all poodles are mammals.

Belief bias is the tendency to judge a conclusion by whether it sounds believable rather than whether it follows logically (Ding et al., 2020). When validity and believability clash, people are slower and less accurate (Robison & Unsworth, 2017). "All flowers need water. Roses need water. So roses are flowers." The conclusion is true, so it feels right. The logic is invalid. Needing water doesn't make something a flower.

Language: The Building Blocks

Language is a way of communicating that uses words plus rules for combining them. Every language, whether spoken, signed, or written, has a lexicon (its vocabulary) and a grammar (the rules for using that vocabulary to convey meaning).

Think of building a song. Phonemes are single drum hits. Morphemes are the smallest loops that mean something. Syntax is the arrangement. Semantics is what the track says. Pragmatics is knowing whether to play it at a wedding or a funeral.

How children acquire language (cooing, babbling, overregularization, critical periods, Skinner vs. Chomsky) is covered in the Language Development lesson.

Does Language Shape Thought? The Sapir-Whorf Hypothesis

Edward Sapir and Benjamin Lee Whorf proposed that the language you speak shapes how you think. It helps to split their idea into two versions:

• Strong version (linguistic determinism): language determines thought. If your language lacks a distinction, you can't think it. Researchers have judged this too absolute, and the evidence doesn't support it.
• Weak version (linguistic relativity): language influences thought. It can make some distinctions hard to ignore and can boost certain kinds of thinking. This version has real support (Wolff & Holmes, 2011).

Color terms are the classic test case:

• The Dani of western New Guinea (the Indonesian side of the island) have only two basic color words, roughly light and dark. Yet they remembered colors much as English speakers did (Heider, 1972). That counts against the strong version. Heider is Eleanor Rosch, the prototype researcher, publishing under an earlier name. A later study of the Berinmo of Papua New Guinea, whose language has five color words, found that color words did shape color memory (Roberson et al., 2000).
• Russian speakers must choose between two words for blue: lighter (goluboy) and darker (siniy). They told two blues apart faster when the shades fell on opposite sides of that word boundary. English speakers showed no such edge, and a verbal distraction task wiped out the Russian advantage (Winawer et al., 2007).
• The half-brain twist: Color-name effects show up mainly in the right visual field (Gilbert et al., 2006) and are linked to the left hemisphere, where language sits for most people. Regier and Kay (2009) concluded Whorf was "half right": language shapes color perception mainly in half the visual field, and color naming reflects both universal and language-specific forces.

Bottom line for test day: language nudges thought. It doesn't cage it.

Creativity: Divergent and Convergent Thinking

Creativity means coming up with new ideas, new solutions, and new possibilities. Guilford separated two kinds of thinking:

• Divergent thinking: producing many different, unusual answers to one problem. This is the kind most often linked to creativity.
• Convergent thinking: narrowing down to the single correct or well-established answer.

Divergent thinking is a dancer freestyling in a cypher, throwing out move after move. Convergent thinking is the same dancer hitting the exact choreography at competition.

Measuring Creativity: The Torrance Tests

The Torrance Tests of Creative Thinking (TTCT) were developed by E. Paul Torrance in the 1960s, building on Guilford's work on divergent thinking. The TTCT has a verbal form and a figural (drawing) form. Know the scoring terms:

Fluency is the gatekeeper: a response that doesn't count for fluency isn't scored for anything else.

The Creativity-IQ Threshold Idea

The threshold hypothesis says above-average intelligence is a necessary condition for high-level creativity. Studies often test it by splitting people at an IQ of 120 and comparing the IQ-creativity link below and above that line.

Support is mixed. Earlier research mostly backed the idea; newer studies have challenged it. One study searched for the threshold statistically instead of assuming 120 (Jauk et al., 2013):

• Creative potential (divergent thinking) showed thresholds, but the cutoff moved with the measure: about 85 for sheer number of ideas, about 100 for a couple of original ideas, about 120 for many original ideas
• Creative achievement showed no threshold: higher IQ kept helping even at fairly high levels
• Above the threshold, personality became more predictive

So "IQ 120 unlocks creativity" is not settled fact.

Executive Functions: The Mind's Conductor

Executive functions (EFs) are general-purpose control processes that regulate your thoughts and behavior. They let you think before acting, meet new challenges, resist temptation, and stay focused. They are closely tied to the prefrontal cortex and its networks.

EFs are the conductor of an orchestra. The conductor plays no instrument, but without one the violins come in early and the drums never stop.

Miyake's Unity and Diversity Model

Miyake and colleagues (2000) studied three often-proposed EFs:

The key finding is in the name. The three are moderately correlated (unity) but clearly separable (diversity), and they predicted different complex tasks. Wisconsin Card Sorting Test performance was tied most strongly to shifting.

Later work refined the picture: a common EF factor plus factors specific to shifting and updating. The common factor is closely related to response inhibition and is distinct from general intelligence (g) (Friedman & Robbins, 2022).

EF tests (Wisconsin Card Sorting Test, Stroop, Tower of London) are covered in the Clinical Tests lesson.

Working Memory and Metacognition

Working memory is the mental workspace from the Memory and Forgetting lesson. Diamond (2013) lists it as one of three core EFs, along with inhibition and cognitive flexibility. Updating manages it, and System 2 reasoning leans on it.

EFs are also fragile. Stress, poor sleep, loneliness, and lack of exercise each impair them, and practice can improve them (Diamond, 2013). A stressed, sleep-deprived client who keeps "forgetting" homework may not lack motivation. The conductor may simply be exhausted.

Metacognition is thinking about your own thinking: your beliefs and knowledge about how well you are performing. These self-judgments are inferences, so they can drift away from actual performance (Fleming, 2024). That gap is where overconfidence lives. Metacognition is your car's fuel gauge. It usually tracks what's in the tank, but gauges can be off.

Common EPPP Traps

Trap 1: "A prototype is a specific example you actually met."

• Reality: That's an exemplar. A prototype is the category's summary or best example.

Trap 2: "Functional fixedness and mental set are unrelated."

• Reality: Functional fixedness is a type of mental set, limited to objects and their usual uses.

Trap 3: "A gain frame makes people take risks."

• Reality: Backwards. Gain frames push people toward the sure thing (risk-averse). Loss frames push them toward the gamble (risk-seeking).

Trap 4: "Belief perseverance and confirmation bias are the same thing."

• Reality: Confirmation bias is about which evidence you seek and favor. Belief perseverance is a belief surviving after its evidence is discredited.

Trap 5: "A valid deductive argument always has a true conclusion."

• Reality: Only if the premises are true. And a believable conclusion can come from invalid logic. Accepting it anyway is belief bias.

Trap 6: "Sapir-Whorf has been disproven."

• Reality: The strong version (determinism) is rejected. The weak version (relativity) has support, especially for color perception.

Trap 7: "The creativity threshold at IQ 120 is established fact."

• Reality: Support is mixed. Thresholds appeared for creative potential and moved with the measure. None appeared for creative achievement.

Trap 8: "Miyake showed executive function is one single ability."

• Reality: Unity and diversity. Inhibition, shifting, and updating correlate but are separable.

Memory Aids for the EPPP

Prototype vs. exemplar:

• PROTOtype = ONE summary picture
• EXEMPLARS = every EXample you've stored

Framing: "Gain? Play it safe. Loss? Roll the dice."

Reasoning direction:

• DEductive = DEscends from general to specific
• INductive = builds UP from instances to a rule

Miyake's EFs: "I-S-U" (I See You) = Inhibition, Shifting, Updating

TTCT scores: "Four Friends Out Exploring" = Fluency, Flexibility, Originality, Elaboration

Sapir-Whorf: Determinism Dictates (rejected). Relativity just Relates (supported).

Key Takeaways

• Concepts: natural = learned from experience, graded; artificial = fixed defining rules
• Prototype = one category summary; exemplar = many stored members; people may use both
• Algorithms give the correct result if followed exactly; heuristics are faster shortcuts; means-ends analysis, working backward, and subgoals are general heuristics
• Insight is sudden reinterpretation; incubation helps divergent tasks most
• Mental set = stuck method; functional fixedness = stuck object use (Duncker's candle)
• System 1 is fast and intuitive; System 2 is slow and loads working memory
• Framing: gain frame, risk-averse; loss frame, risk-seeking
• Overconfidence: overestimation, overplacement, overprecision
• Reasoning: deductive = general to specific; inductive = specific to general; belief bias lets believability beat logic
• Language: phoneme (sound), morpheme (meaning unit), syntax (order), semantics (meaning), pragmatics (social use)
• Sapir-Whorf: strong determinism rejected; weak relativity supported
• Creativity: divergent vs. convergent (Guilford); TTCT scores fluency, flexibility, originality, elaboration; threshold hypothesis has mixed support
• Executive functions: inhibition, shifting, updating are correlated yet separable (Miyake et al., 2000)
• Metacognition judges your own thinking, and it can be wrong

Now test your metacognition. Close this page and list the trap pairs from memory. Review the ones you blank on.