In each of 13 through 18:(a) Sketch the graph of the given function for three periods.(b) Find the Fourier series for the given function.f(x) =x + 1, 1 x < 0,1 x, 0 x < 1; f(x + 2) = f(x)
Csikszentmihalyi’s Theory of the Unconscious in Creative Thinking Rejects Freudian primary-process view as “spectacularly implausible” Wallas’s stages – basis of Csiks (1996) theorizing o “cognitive view” which assumes unconscious thinking involves making connections among ideas based on laws of simple association = random combination of ideas Conscious = logical, linear o Rejects Freud (1996) but agrees that unconscious is able to make connections that conscious cannot Uses analogy similar to Poincare’s discussion of aesthetically pleasing combinations being passed to consciousness – when insight occurs o i.e. (1996) Kekule if he stayed awake, rationality would have censored the connection Interviewees’ Opinions on the Unconscious Csizkszentmihalyi and Sawyer (1995) o Interviewed 100 individuals who claim creative leaps from unconscious processing important in creative work o Described moments of insight as part of 4 stage process – Wallas (1926): preparation, incubation, illumination, verification o Emphasizes individual differences that can occur in incubation and illumination Long time frame vs. short time frame (two ends of continuum) Presented vs. discovered problems o Presented: shorter time frame, problem already exists o Discovered problems: long time frame, problem isn’t one people have dealt with before Great creative insights that result in shifts in the field (revolutionary = paradigm shift) HOWEVER, Darwin was working on presented problem when he caused the paradigm shift Interaction between Conscious and Unconscious Processes Csikszentmihalyi and Sawyer (1995)unconscious processing (parallel processor with greater capacity) has greater capacity than conscious processing (serial processor with limited capacity) o Many small entities that can work on many different problems at once o Individual must be able to direct the undirectable subconscious process useful insight Many of interviewees claimed to have this ability Found no evidence of external stimulus whose action led to insight o “welling up from the subconscious” o Poincare’s walking on the buff & boarding plane Data: Content of the Interviews Csizentmihalyi and Sawyer (1995) o Short time frame - Many respondents structured days to include period of idle time followed by period of hard work (needed for “best” ideas) Usually during repetitive physical activity Keep journal to capture ideas o Longer time frame – insight happened during extended period of time away from work vacation o Elaboration stage – almost all reported that it was necessary One environmentalist/economist/poet did very little editing afterwards o Conclusion Creative leap/insight is result of period of incubation, during which info is processed in parallel at an unconscious level If incubation successful insight conscious evaluation and elaboration of the illumination The Question of Subjective Reports Poincare, Wallas, Hadamard, Koestler, Campbell all driven by logic and all built on existing ideas of eachother o Poincare used logic to explain his own experience o Wallas provided little new evidence beyond Poincare’s o Hadamard added reports from Einstein and others (still self-reports) & used logic to describe own experiences of facial recognition and speech production o Koestler used self reports and incorporated ideas from Freud and Poincare o Campbell used Poincare’s reports as evidence for blind-variation theory (didn’t provide any new data) o Simonton accepted argumens of Poincare & Campbell + Koestler’s ideas (and Freud’s) o Simonton adopted Mednick’s theory (cited Poincare) o Csikszentmihalyi and Sawyer build on Poincare’s theory, filtered through Wallas’s stages Laboratory Investigations of Incubation and Illumination Search for evidence to verify stages of creative thinking Search for evidence of illuminations Patrick’s Studies of Stages of Creative Thinking C. Patrick (1935) o Accomplished poets given picture and asked to write poem about it C. Patrick (1937) o Accomplished artists asked to draw picture in response to poetry of Milton BOTH o Research Performance compared to control group who had not exhibited creative achievement Carried out task while thinking aloud Patrick took notes shorthand Single session Afterwards, Patrick interviewed participants about usual methods of working (incubation and illumination) o Findings Most reported that they used methods that they usually used All took 20 minutes Patrick divided into quarters (4 stages) o 1. Made the most shifts from idea to idea – Preparation o 2. Recurrence of previously rejected idea most frequent – Incubation o 3. Project given general theme or shape that remained – illumination o 4. Highest frequency of revisions - Verification o Questions 1 session = individual thinking about the creative project the whole time = no impasse/idle time/incubation o Take aways Artists reported period of incubation Think about ideas off and on when not formally working on a project Illumination could be the result o Unverified responses, no other evidence Eindhoven and Vinacke’s Study of Stages in Creative Thinking Eindhoven and Vinacke (1952) o Research: Extended Patrick’s research to try to overcome limitations 13 Painters asked to create picture in response to poem Up to 4 sessions over a week’s time Almost all took 2+ sessions More than half 3+ (3/4 non artists) Some artists visits lasted across 2 weeks, one took several months between 2 visits No time limit on visits, 1 hr suggested Participants asked to keep diary of experiences and ideas relevant to project o Findings: Multiple sessions used to carry out project Artists produced many more sketches than non-artists Artists tended to produce new sketches only during 1 session (small) & concentrated on one basis for final work Non artists produced new sketches over several sessions Produced larger works throughout sessions Both artists and non-artists spent early time laying out general aspects of picture then later, detail Like Guernica Only 7 participants kept diaries (5/7 artists) Post study interviews showed they thought about project while away from studio o Conclusions: Artists and non-artists behaved very differently - same process doesn’t occur in all individuals when faced with situation requiring creative thought Stages described by Poincare & Wallas could not be isolated as separable entities Stages blend into eachother in complex ways Hard to ID specific point where idea came into consciousness Illumination is process not a stage Attempts to Demonstrate Incubation in the Experimental Laboratory Table 8.3A (pg. 420-421) o If break results in better performance = evidence for incubation during idle time Assuming they didn’t think of problem during break (if so, no incubation + extra time to work) Leave lab Do distractor task in lab o Nothing to do with problem o Problems of same sort o Does taking a break facilitate problem solving Mixed reviews Flaws in design of studies o C. Patrick (1938) Research: asked individuals to propose scientific methods to investigate effects of heredity and environment on humans Control group worked continuously Incubation group given diary and told to return in 2-3 weeks o Didn’t take a break – given more time to work o Olton and Johnson (1976) Research: examined possible effects of several different sorts of activities during the incubation period Unstructured free time listening to set-breaking instructions being shown geometric forms that were analogous to solution Results: no incubation, solved problem at same rate as control Attempt to replicate Dreistadt (1969) o Olton and Johnson (1979) Research: Gave experienced chess players 1 hour to work on a problem chess master deemed difficult If didn’t solve in hour, took 2 hour break o Could do anything they wanted except think about chess Findings: only 1 Aha! Moment during break; didn’t find incubation Conclusion: “creative worrying” – actively thinking about problem when not supposed to = incubation o Browne and Cruse (1988, Experiment 2) Research: Used Farm problem and examined 3 distractor activities Analogical hint group - drew geometric forms Relaxation group – listened to music and given relaxation instructions Difficult mental work – memorizing a passage Findings: incubation effects found for analogical hint and relaxation groups; no effects for difficult mental work Conclusion: positive effects due to participants’ working on problem when they weren’t supposed to be thinking about it (conscious thinking) Maybe this is actually what occurs during “incubation” o A.S. Patrick (1986) Research: study using verbal insight problems 30 problems, then 5 randomly chosen from unsolved problems used to test for incubation o One cycled through, 2 minutes at a time until 8 minutes up o One group cycled through but spent additional 5 minutes talking with experimenter about unrelated activities first o One group cycled and carried out difficult mental task for 5 minutes in between Impasse, several problems used to test incubation, experimental controls made it difficult for people to think about problems during incubation periods Findings: only incubation in problems plus mental rotation with high-ability participants o Segal (2004) Research: Used geometry problem Began incubation only after participant indicated they had reached impasse Incubation periods 4-12 minutes Distractor activities easy or difficult Findings: incubation with hard task for both short and long incubation periods; less strong effect for easy task with only the short interval resulting in increased performance No strong pattern of incubation Laboratory Studies of Incubation: Conclusions Lab studies sterile and far removed from real-life situations in which incubation results in illumination At least one study produced negative results o Olton and Johnson (1976) Chess study Almost never report Aha! Experiences o Only show whether taking break helps solve problem; not parallel to Poincare’s experience Evidence for Incubation and Illumination: A Critique Postulation of unconscious processing in creative thinking based mainly on anecdotal reports Table 8.4 (pg. 429) Questions about Poincare’s Self-Reports Public discussion of discoveries presented 30 years after occurrence o Brief occurrences hard to remember after long period of time No experience in behavioral sciences o No training on observing and reporting behavior Poincare was conscious during sleepless night Poincare’s Logical Analysis Based on several assumptions about thinking process in general and creative thinking in particular that aren’t the only possible assumptions o Poincare’s theory of thinking is a bottom-up view Works by combining basic elements/ideas without any planning o Top Down process is possible Goal of thinker plays role in determining how ideas combined Combinations not tried out because never considered o i.e. Watson and Crick decision to deal with helixes limited breadth of conscious search o All research based on Poincare is questionable too Modern Views of Unconscious Processing Csikszentmihalyi and Sawyer (1995) participant said ideas come to her while gardening, no evidence of unconscious processing o Conscious o Could be thinking while gardening Physicist-mathematician conscious on bus ride to California and was probably consciously thinking about the problem during this “eureka!” experience Banker’s memo from the beach – he was thinking about the business and wrote a memo (conscious act) Illumination without Unconscious Processing Selective Forgetting Woodworth (1938) o Argued that initial attempts to solve problem were in wrong direction and that nothing positive, conscious or unconscious occurs during break; break just allows time for change of cues eliciting the mode of dealing with the problem Misdirecting factors selectively forgotten during interval Smith (1995) o Unsuccessful initial problem solving attempts mental ruts that interfere with thinking of new approaches Unsuccessful cues must be forgotten before anything different generated Research: People given misdirecting cue then presented problem again after break and also asked to remember cues Findings: o longer breaks = higher chance of solving problem o longer breaks = harder to remember misdirecting cues Selective Forgetting and Illumination: Critique No spontaneous solution o During Poincare’s walk on beach; problem not re-presented to him (like in Smith’s experiment) – spontaneously came to mind Failure Indices: The Opportunistic-Assimilation Model Seifert and colleagues (1995) o Theory: Opportunistic-assimilation model of illumination and insight Individual assimilates relevant environmental events to stored memory of Unsolved problem + failure index/gap o Research: Phase 1 – participants given general-information questions Phase 2 – participants do word-recognition task (some words = answers to phase 1 questions) Phase 3 – next day, revisit some of Phase 1 questions and some new ones o Findings: Phase 2 facilitated solution of phase 1 problems when re- presented in phase 3 o Conclusions: Incubation doesn’t play role in problem solving Break helped lead to accidental encounter of relevant stimuli Illumination as the Result of Spontaneous Retrieval of a Problem: Critique of the Failure Index Hypothesis Not relevant to failure index model or Poincare’s reports of his experiences (Table 8.6C pg. 437) o Rely on relevant environmental cue o Still have to re-present problem Environmental cue doesn’t cause spontaneous retrieval of problem Dodds and colleagues (2002) o Research: used three-word verbal insight problems to examine influence of environmental cues on solution of previously unsolved problem 20 problems, 30 seconds for each nd Told that they would have 2 attempt at problems Next, given activity Told that it would help with solving problems o Either answers to earlier problems, words semantically related, or unrelated words o Finding: Presentation of solution words & related words only helpful when participants knew that the activity may help with problem solving o Conclusions: Doesn’t support opportunistic-assimilation view Doesn’t support spontaneous retrieval/Aha! experience Anolli and colleagues (2001) o Research: Problem similar to Radiation problem was target Participants presented with serious of problems that required them to retain info presented in stories; analogous problem to target problem also presented o Reminder group: reminded that they needed to answer question about base story read earlier o Hint group: hinted based info could suggest solution for target problem o Reminder + Hint Group: both o Findings: Solution of target problem only when participants heard hint that base info relevant o Conclusions: Contradict opportunistic-assimilation model Doesn’t support spontaneous retrieval Christensen and Schunn (2005) o Research: Cues for earlier unsolved problems presented as participant worked through series of problems; (period of time passed/worked on few irrelevant problems before cues presented) When given analogous base problem and solution, asked to rate difficulty of the problem Could return to any unsolved problem whenever they wished o Findings: Support for opportunistic-assimilation theory Presentation of cue analogous to unsolved problem retrieval of that problem and its solution o Possible that Poincare got environmental cue during walk as well o Critique: Cues presented in same context Poincare’s illumination occurred in context very different from his work context Creative Worrying Conscious Thinking during a Break Olton (1979) o Proposes that no unconscious processes occur; person consciously thinking about/working on problem during “incubation” period Reported by participants in Eindhoven and Vinacke (1952) o Critique: No evidence of this work in Poincare Degrees of Creative Worrying: Brief Conscious Interludes Weisberg o Brief conscious interlude people don’t intentionally return to thought about the problem; your mind just finds itself thinking about it randomly It is hard to publicly project conscious ideas that are brief, unintentional May or may not be relevant If not relevant, hard to report except immediately after If problem solved from brief conscious interlude, may not remember where solution came from Done so quickly that conscious post responding report is limited