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THE REFERENCE LIBRARY

Find a different
way to see it.

A growing collection of ideas for understanding the world — and your own thinking.

4,635 ideas to exploreArranged from A to Z

Fano Plane

The Fano plane is the smallest finite projective plane, consisting of seven points and seven lines, each line containing three points. It satisfies the axioms that every pair of points lies on exactly one line and every pair of lines intersects at exactly one point, demonstrating that geometry can be defined purely by axioms rather than physical appearance.

technology · mathematics↗

Fantasy and Fiction Are Okay

Skepticism does not require rejecting fiction; it only warns against confusing fiction with reality. Fantasy and storytelling are valuable for creativity, learning, and emotional experience, as long as the boundary between the imagined and the real is maintained.

education · philosophy↗
Heuristicsintermediate

Fast and Frugal Heuristics

Fast and frugal heuristics are simple decision strategies that use minimal information and computation, often outperforming complex optimal models in real-world environments by exploiting environmental structures. They contrast with unbounded rationality and constrained maximization, embodying Herbert Simon's satisficing approach to bounded rationality.

decision science · economics↗
Mental Modelsintermediate

Faster Is Slower

Growth that outruns a system’s capacity can trigger delays and setbacks. Senge argues for a sustainable pace rather than assuming the fastest possible growth will produce the best long-term result.

ecology · systems theory↗
Mental Modelsintermediate

Fat Tony

Fat Tony is a character embodying practical, street-smart thinking that relies on experiential knowledge and skepticism of theoretical models, often used to contrast with nerdy, academic reasoning.

business · economics↗
Mental Modelsintermediate

Fat Tony versus Socrates

A thought experiment contrasting the practical, instinct-driven approach of Fat Tony with Socrates' demand for explicit definitions, arguing that tacit knowledge is valuable and over-questioning can undermine intuitive competence.

business · philosophy↗

Faulty Comparison

A faulty comparison relates things that are not relevant to each other, making one seem more or less desirable than it really is.

logic · philosophy↗
Logical Fallaciesintermediate

Faulty Implications

This logical fallacy occurs when an argument relies on an incorrect or misunderstood implication, often leading to a straw man. The example of white privilege shows how a false premise (if some black people are better off, then white privilege doesn't exist) can be attacked instead of the actual claim.

logic · philosophy↗
Cognitive Biasesintermediate

Favorite-Longshot Bias

The favorite-longshot bias occurs when betting-implied win probabilities are too low for favorites and too high for longshots. Risk-seeking and attempts to recover losses are proposed explanations. The passage also describes how differing base rates affected the calibration of sports commentators.

sports · statistics↗
Heuristicsbeginner

Featured Snippet Bias

A featured snippet’s prominent position does not establish that its answer is reliable. Check the source and the evidence behind the claim, especially when a short answer conceals a disputed question.

technology · education↗
Cognitive Biasesintermediate

Features of Evidence

Evidence ambiguity and conflict can amplify cognitive biases by allowing selective interpretation, while the amount and completeness of evidence can influence confidence and support for hypotheses regardless of diagnostic value.

decision-making · psychology↗
Cognitive Biasesintermediate

Features of Hypotheses: Evaluative Quality and Self-Relevance

This concept describes two key features of hypotheses—evaluative quality (positive vs. negative framing) and self-relevance (hypotheses about oneself vs. others)—that systematically influence how people recruit evidence and judge support, often leading to motivated reasoning and biased conclusions.

psychology↗

Feedback

Clear feedback helps people learn from practice. Many decisions provide delayed or incomplete feedback, especially about alternatives that were never tried, so repeated experience may leave important gaps.

science · business↗
Heuristicsbeginner

Feedback

Providing feedback is a key method to improve performance. Effective feedback systems inform users of their current status and warn about potential issues, but must avoid over-warning that leads to ignoring alerts.

technology · business↗

Feedback Analysis

A technique to identify your strengths and areas for improvement by writing down expected outcomes of important decisions and comparing them with actual results after a year.

business · education↗
Mental Modelsintermediate

Feedback and Practice

Intuitive expertise develops through practice in a sufficiently regular environment with clear, timely feedback. A professional may acquire reliable intuition for some tasks while remaining poor at others whose outcomes are delayed or ambiguous.

medicine · business↗

Feedback Immunity

Erikson recommends adapting feedback to the recipient’s communication preferences. The aim is to make a specific concern understandable and discuss change; a color label does not ensure that feedback will be accepted.

business · education↗
Mental Modelsintermediate

Feedback Loops

Feedback loops are processes where a system's output also acts as input, either balancing toward equilibrium or reinforcing change. Understanding them improves decision-making, communication, and adapting to feedback in personal and professional life.

engineering · systems thinking↗

Feeling and Reason

The passage contrasts a quick emotional reaction with deliberate reasoning that considers longer-term consequences.

neuroscience · behavioral economics↗
Cognitive Biasesintermediate

Feeling Embattled

The tendency for beliefs to crystallize into identities when individuals feel persecuted or stigmatized by a hostile world, leading to increased solidarity and rigidity. Both sides of an issue can genuinely view themselves as the embattled minority.

sociology · psychology↗
Cognitive Biasesintermediate

Feeling for Our Foes

Humanizing individual members of an outgroup often leads us to see them as exceptions rather than changing our stereotypes of the group as a whole, as demonstrated in experiments with sports rivalries and international conflicts.

sociology · psychology↗
Cognitive Biasesintermediate

Feeling Objective Doesn’t Make You a Scout

Feeling calm and rational does not guarantee objectivity; it can actually reinforce bias by making you trust your intuitions uncritically. The illusion of objectivity leads to motivated reasoning, as seen in Lawrence Krauss's defense of Jeffrey Epstein based on personal trust rather than evidence.

science · psychology↗
Heuristicsbeginner

Feeling Overwhelmed? Rethink Your Approach

Feeling overwhelmed while seeking information is not a personal failure but a signal that your current strategy needs adjustment. Instead of pushing through, pause and reconsider your approach—whether by seeking a general overview or changing your level of detail.

information science · education↗
Cognitive Biasesintermediate

Feeling Proud

Beliefs become part of identity when they signal virtues people take pride in, such as breastfeeding symbolizing maternal devotion or cryptocurrency representing rebellion against centralized power.

philosophy · politics↗

Feeling Right over Being Right

The tendency to prioritize the emotional satisfaction of feeling correct over actually being correct, leading to biased reasoning, ego protection, and distorted worldviews.

philosophy · psychology↗
Heuristicsintermediate

Feelings-as-Information Heuristic

The feelings-as-information heuristic extends beyond global moods to specific emotions, which have more localized and specific effects on judgment. The informational value of emotions is eliminated when their source is called into question or when their cause is salient.

sociology · psychology↗
Mental Modelsintermediate

Female Differentiation Strategies

This classification groups styles of self-presentation under labels for embracing or rejecting conventional femininity. The labels are interpretive categories, not an established explanation of women’s motives.

sociology · psychology↗
Mental Modelsintermediate

Female Sexual Strategy Archetypes

An opinionated taxonomy that interprets women’s dating behavior through market concepts such as beauty, scarcity, investment, and expectations of a partner. Its Ultra-Girl and Anti-Girl archetypes can overlap or change over time; the categories express the author’s reading of behavior and motives.

sociology · psychology↗
Mental Modelsintermediate

Feynman Diagrams

Feynman diagrams represent terms in calculations of particle interactions. Their lines and vertices make relationships easier to organize, illustrating how a useful representation can support both reasoning and communication.

education · data visualization↗
Heuristicsintermediate

Feynman Technique

The Feynman Technique uses plain-language explanation to expose gaps in understanding. Explain an idea, investigate the parts you cannot make clear, and revise the explanation. The process can be tried in scientific and non-scientific subjects.

education · communication↗

Feynman Technique

The Feynman Technique is a learning method that emphasizes teaching an idea to deepen understanding, involving four steps: study, teach, identify gaps, and simplify.

science · education↗

Feynman Technique for All Domains

The habits associated with the Feynman Technique—asking questions and explaining ideas clearly—can be useful beyond physics. Hollins uses Feynman’s interest in drawing and scientists’ reflections on awe to explore that possibility.

education · science↗
Heuristicsbeginner

Feynman's Advice: Play More!

Richard Feynman emphasized the importance of playful curiosity and 'serious play' for creative insight, arguing that relaxation and fun are integral to deep intellectual work, not impediments to it.

education · science↗

Feynman’s Advice: Play More!

Richard Feynman's approach to learning and discovery emphasizes playful curiosity and relaxation, contrasting with intense work. He argues that serious play—focusing on interesting problems without worrying about importance—can lead to breakthrough insights.

science · business↗

Feynman's Scientific Method

Feynman describes a practical sequence: propose a hypothesis, work out its consequences, and compare those predictions with experiment or observation. A mismatch calls for examining the hypothesis and test; agreement provides support for further inquiry. Curiosity and a willingness to accept unwelcome results help keep the process honest.

education · science↗

Fight or Flight

The fight or flight response is a physiological reaction to perceived threats, preparing the body to either confront or flee from danger. This concept can be applied to everyday challenges such as deadlines or interpersonal stress, and can be managed through techniques like deep breathing.

self-help · psychology↗
Mental Modelsintermediate

Filtering Methods

Taleb compares separating market information from noise with filtering static from a telephone signal. The analogy highlights the risk of treating fluctuations as meaningful changes.

engineering · science↗
Heuristicsbeginner

Find Better Coverage

A heuristic for quickly verifying a claim by searching for coverage from reliable sources, instead of relying on a single source or initial reaction.

education · technology↗
Heuristicsintermediate

Find Someone Who's Solved Your Problem

When you need more options but feel stuck, look for someone who has solved your problem. Look outside (competitive analysis, benchmarking), inside (your own bright spots), or up via analogies (laddering).

education · science↗
Mental Modelsintermediate

Finding Axioms

Comparing beliefs across different situations can reveal a shared underlying principle. Cheng uses analogies to identify her preference for preventing false negatives over false positives, then examines how that preference shapes her views.

philosophy · psychology↗

Finding Quality Inputs

A repeatable testing process lets you compare candidate inputs and refine them from the results. It can organize a search even when you do not know which inputs will work.

medicine · science↗
Mental Modelsintermediate

Finding the Sweet Spot of Confidence

Grant uses reported cases of Anton’s syndrome, in which people do not recognize their blindness, as an analogy for unnoticed limits in knowledge and judgment. Recognizing those limits makes it possible to seek feedback and revise a confident view.

medicine · philosophy↗
Cognitive Biasesintermediate

Firehouse Effect (Groupthink) and the Cross-Sectional Problem

A trader persists in a losing position because all his peers and economists agree the market is oversold, illustrating how group consensus can lead to collective delusion. This also highlights the cross-sectional problem: the most successful traders at any time may simply be lucky in the current cycle.

finance · economics↗
Cognitive Biasesintermediate

First Conclusion Bias

Munger links a quick initial conclusion with resistance to changing it. Deliberately hearing counterarguments can expose weaknesses in a judgment formed before the evidence was considered.

law · business↗
Mental Modelsintermediate

First Follower Effect

An idea’s success depends partly on who adopts, supports, and develops it. Early followers can help an invention spread, while later popularizers may receive more credit than earlier contributors. Adoption and recognition do not by themselves establish originality.

technology · history↗
Mental Modelsintermediate

First Principle

First-principles thinking examines the facts, constraints, and starting assumptions behind a problem, then builds an approach from those foundations.

technology · science↗

First Principles Reasoning

Separate what you know about a problem from what you assume, then work from those foundations toward your goal. The author illustrates the approach by examining fears about leaving a job.

science · business↗
Heuristicsintermediate

First Things First: The Science of Scheduling

Choose a scheduling rule by deciding what you want to minimize. Earliest Due Date minimizes maximum lateness, while Shortest Processing Time minimizes the sum of completion times under the basic single-machine assumptions. Dependencies, arriving work, and switching costs change the problem. In daily work, choosing a useful priority rule and protecting enough time to act on it may matter more than finding a perfect schedule.

technology · science↗
Mental Modelsintermediate

First- and Second-Order Thinking

First-order thinking makes snap decisions that fix short-term problems but often create long-term issues, while second-order thinking considers far-reaching consequences to choose the best overall solution.

decision-making · personal finance↗
Mental Modelsintermediate

First-Principles Thinking

First-principles thinking involves breaking down complex problems into their fundamental truths or basic components and rebuilding solutions from there, rather than relying on analogy or existing conventions.

technology · science↗
Mental Modelsintermediate

First, Do No Harm (Iatrogenics)

The principle of 'first do no harm' (primum non nocere) from medicine is applied to other domains, highlighting that interventions can cause unintended harmful side effects (iatrogenics), often due to denial of antifragility and overconfidence in human intervention.

politics · education↗

Fishbone Diagram

A fishbone diagram organizes possible causes of a problem into categories. It helps a team generate and compare hypotheses, which must then be checked against evidence.

engineering · business↗