Comprehensive Study Notes on the Psychology of Thinking and Creativity

Theoretical Foundations and Definitions of Thinking

Thinking is a fundamental cognitive activity that is defined differently depending on the breadth of the scope applied. In its broadest sense, thinking encompasses various cognitive processes that take place within the working memory. These processes include imagining, remembering, judging, decision-making, reasoning, planning, and problem-solving. This perspective views thinking as the overarching mechanism through which we process information currently held in our conscious awareness.

In a narrower sense, psychologists define thinking as the process of discovering new relationships between pieces of information or the specific process of solving mental problems. This definition focuses on the active, transformative nature of thought—where the mind does not just hold information but reorganizes it to overcome an obstacle or reach a conclusion. As noted by Karin Turk from Gimnazija Bežigrad, quotes from Jay Rifenbary ("Victory goes to those who believe in victory") and William Shakespeare ("There is nothing either good or bad, but thinking makes it so") emphasize the subjective and powerful nature of thought in shaping reality and success.

Taxonomic Categorizations of Thinking

Psychological research, notably by J. P. Guilford (1950), distinguishes between two primary modes of thinking based on the nature of the solution sought: convergent and divergent thinking. Convergent thinking is characterized by the search for a single, correct solution to a problem. This process relies heavily on prior knowledge and experience. For example, determining the missing number in a mathematical sequence like $20, 17, 14, 11, 8, 5, ?$ (where the answer is $2$) requires convergent thinking. In contrast, divergent thinking involves the search for multiple possible solutions that are often unusual, unexpected, and go beyond established knowledge. An example of this is generating as many uses as possible for a single brick, which requires the thinker to deviate from standard patterns of thought.

Other scholars categorize thinking based on its alignment with reality. Realistic thinking involves the combination of factual evidence and is typically applied in scientific inquiry and practical problem-solving. Imaginative thinking, however, allows for a more free combination of facts, often influenced by subjective factors. This form of thinking is prevalent in art, play, dreams, daydreaming, and hallucinations. A six-year-old named Nabil provides a vivid example of imaginative thinking, describing a "planetary piggy bank" containing money from the tooth fairy, which he plans to use to buy a magical bracelet that allows the wearer to transform into anything they desire.

Furthermore, thinking can be classified by the structures it manipulates: concrete or abstract. Concrete thinking relies on perceptions, mental images, and physical phenomena. It emerges earlier in human development, exemplified by a child using their fingers for arithmetic, such as calculating $3 + 2 = 5$. Abstract thinking involves symbols, words, numbers, and complex concepts like "freedom," "peace," or "beauty." According to Jean Piaget, this type of thinking generally develops after the age of $11$. It allows individuals to solve problems hypothetically and perform complex mathematical operations, such as calculating the area between a line $y = x + 2$ and a parabola $y = x^2 - 2x + 2$ using integrals like $\int_0^3 (x + 2 - (x^2 - 2x + 2)) \, dx$.

Deductive and Inductive Reasoning

Psychologists further distinguish between two primary logical pathways for reaching conclusions: deductive and inductive thinking. Deductive thinking (from the Latin deducere, meaning "to lead from") involves reasoning from general principles or theories to specific, individual cases. It is used extensively in science to form specific, testable hypotheses from broad theories. In daily life, it takes the form of logical syllogisms, such as: "Every Friday I do not have to study. Today is Friday. Therefore, I do not have to study." Another example is: "If you run a red light, you are punished. I ran a red light, therefore I will be punished." In education, this manifests when students apply a general concept, such as the defense mechanism of "rationalization," to a specific real-world example.

Inductive thinking (from the Latin inducio, meaning "to lead in") follows the opposite path, reasoning from specific observations to general conclusions or generalizations. This process is inherently probabilistic; one can never be entirely certain that an inductive conclusion is universally true. For instance, observing several birds that fly might lead to the generalization "All birds fly," though this is technically incorrect. In everyday life, induction allows us to form rules based on experience. For example, if a student observes that every time a classmate arrives at math class wearing outdoor shoes, the teacher sends them out, they might induce the rule: "Whenever a student wears outdoor shoes to math class, the teacher sends them out." Inductive reasoning is described as a "probabilistic leap" rather than a guaranteed logical certainty.

The Nature and Components of Creativity

Creativity is defined as a mental process that results in achievements that are both original and appropriate. Originality (izvirnost) refers to the statistical rarity and wit of a solution, showing an associative distance from the original problem. This can appear in problem-solving strategies, such as young Gauss calculating the sum of numbers from $1$ to $100$ by identifying the constant sum of pairs: $1+100, 2+99, \dots, 50 \times 101 = 5050$. It can also appear in solutions, like Leonardo da Vinci’s designs for airplanes and submarines, or in the questioning phase, such as Isaac Newton asking why an apple falls while the moon does not.

Appropriateness (ustreznost) is the second essential criterion, requiring that the creative product be relevant to the task, useful, and mindful of real-world constraints. A solution that is merely strange without being useful is not considered creative in this psychological sense. For example, when asked "What would happen if you grew one meter overnight?", an answer like "I would eat a snail" is considered inappropriate because it lacks connection to the premise. Appropriateness is sometimes difficult to judge immediately; Leonardo da Vinci’s airplane models only proved their utility and validity much later in history.

The Four-Stage Model of the Creative Process

According to Graham Wallas (1926), the creative process typically unfolds in four distinct stages:

1. Preparation (Priprava): This involves identifying the problem and gathering data. Often, initial attempts at solutions occur during this stage but prove inadequate.

2. Incubation (Inkubacija): During this phase, the problem "ripens" unconsciously. The individual may step away from the problem, allowing the brain to process information in new ways while the body rests. This relaxation often facilitates finding a solution later.

3. Illumination (Iluminacija): This is the "Aha!" moment or inspiration, a sudden solution based on a restructuring of the problem. These insights often occur in unusual circumstances or states of relaxation and should be recorded immediately before they are forgotten.

4. Verification (Preveritev): The final stage where the solution is tested and evaluated. This stage is dominated by convergent thinking to ensure the idea is practical and correct.

Factors Influencing Creativity

Creativity is influenced by cognitive, personal, and environmental factors. From a cognitive perspective, J. P. Guilford identified three components of divergent thinking that contribute to creativity: Fluency (the number of ideas), Flexibility (the diversity or variety of categories of ideas), and Originality (the novelty or statistical rarity of ideas). In standardized tests, a fluency score of $0-4$ indicates low creativity, $8-12$ is average, and over $16$ is very high.

Prior knowledge (predznanje) acts as a double-edged sword. While it is a necessary prerequisite to understand a problem, excessive knowledge can lead to fixation. Fixation of method occurs when an individual persists with an inefficient strategy, and fixation of function occurs when an individual's knowledge of an object's typical use (e.g., a brick as a building material) limits their ability to see other uses. Research by Musek and Pečjak (2001) suggests that a medium amount of prior knowledge is optimal for maximal creativity.

Personality traits also play a role. Creative individuals typically exhibit independent thinking (acting as "eternal doubters" like Copernicus), positive self-image, intrinsic motivation, persistence, and curiosity. While a certain level of intelligence (IQ) is a necessary condition for high creativity, it is not by itself sufficient. Mihaly Csikszentmihalyi (1996) noted that creative people often combine opposites: playfulness with discipline, extroversion with introversion, and expert knowledge with a naive sense of wonder.

Finally, the environment affects creativity at both micro and macro levels. On a micro level, supportive environments in families, schools, and workplaces that value autonomy and tolerate mistakes foster creativity. On a macro level, state-level investment in education and research, combined with democratic freedom and stability, creates the conditions for periods of great innovation, such as Ancient Greece or the Renaissance (exemplified by Raphael's painting "The School of Athens").

Questions & Discussion

Question/Scenario 1: A middle-aged man visits a psychologist. The psychologist begins the conversation by asking, "What brought you to me?" (meaning, why are you seeking therapy). The man replies, "Well, a car, what else!" Outcome: This is identified as an example of concrete thinking, as the man interpreted the question literally and focused on the physical mode of transportation rather than the abstract reason for the visit.

Question/Scenario 2: History students are debating how World War II might have ended if the United States had not dropped the atomic bomb on Japan. Outcome: This is identified as abstract thinking, as it involves hypothetical reasoning, historical concepts, and variables that are not present in the immediate physical environment.

Question/Scenario 3: A teacher asks a student, "If Aleš is taller than Ivan and Ivan is taller than Marko, is Aleš taller than Marko?" The student replies, "I don't know because I don't know Aleš." Outcome: This is identified as concrete thinking. The student is unable to use abstract logical principles (transitivity) and instead relies on the concrete necessity of knowing the individuals personally to make a judgment.

Interactive Exercise: Students were asked to list uses for a paperclip and complete two incomplete figures to test their own fluency and flexibility. They were also asked to imagine a world where humans did not need sleep and list all subsequent consequences.