This blog synthesizes concepts from physics, economics, cognitive science, and complex systems theory to construct a practical reasoning toolkit. The objective focuses on improving decision quality under uncertainty and navigating real-world complexity through structured thinking.
Engineers and scientists regularly operate with abstractions, models, and approximations. However, performance differences rarely originate from intelligence alone. Superior outcomes typically result from more effective thinking tools, which enable clearer reasoning, better trade-offs, and more adaptive strategies.
The framework progresses Thinking across six layers:
- Worldviews establish foundational assumptions about reality, including beliefs about causality, determinism, and system behavior.
- Identity & Agency define constraints, incentives, and behavioral capacity, shaping how decisions are executed within real environments.
- Decision & Strategy formalize action under uncertainty using frameworks such as Bayesian inference and Value of Information, enabling rational updates and resource allocation.
- Systems & Structure capture interactions across components using principles from complex systems theory, including the Free Energy Principle and network dynamics.
- Uncertainty & Risk quantify variability through probability distributions, statistical inference, and theoretical limits such as the No Free Lunch Theorem.
- Optimization & Growth address long-term dynamics through compounding effects, learning curves, and cognitive capital investment.
Thinking tools transform abstract understanding into actionable decisions. Actions generate feedback, which updates models through iterative learning cycles. This feedback loop drives continuous improvement and model refinement. Effective thinking tools enable practitioners to navigate trade-offs among accuracy, scalability, and efficiency, resulting in robust performance in complex, uncertain environments.
How to Use This Dictionary
The following section organizes core thinking tools into a structured reference system. Each model is a reusable lens for understanding complexity, improving decisions, and acting under uncertainty.
Table of Contents
- General Worldviews 基本世界观
- Identity & Agency
- Decision & Strategy
- Systems & Structure
- Uncertainty & Risk
- Optimization & Growth
General Worldviews 基本世界观

- Narrative: This world is not a pile of facts, but a field of narratives; you must both step out of others’ stories and learn to set your own. 这个世界不是事实堆,而是叙事场;你既要跳出别人的故事,也要学会为自己设定故事。

- Heavy Tail: This world is not evenly distributed, but full of extreme emergence; don’t get stuck in an additive world, seek multiplicative strengths and compound interest. 这个世界不是平均分配,而是极端涌现;别困在加法世界,要去寻找能做乘法的长板与复利

- Agency: This world is already highly volatile, but old ideas still lag behind; don’t take steady-state survival logic as truth—be an agent, not a tool of old narratives. 这个世界早已高波动,旧观念却仍在滞后;别把稳态生存逻辑当真理,要做能动者,而不是旧叙事的工具。

- Constraints: This world is not a wish-fulfillment machine, but a web of hard constraints; all actions must first assess resources, look for windows, respect rules, and acknowledge others. 这个世界不是愿望实现机,而是硬约束之网;一切行动都要先盘资源、看窗口、尊重规律、承认他人。

- Possibility: This world will not give you absolute certainty; instead, meaning is generated by uncertainty. Don’t just seek stability—learn to manage, embrace, and even leverage uncertainty. 这个世界不会给你绝对确定,反而靠不确定性生成意义;不要只求稳定,要学会管理、拥抱,甚至利用不确定性。

- Core: You do not have only one “self” but are driven by different layers of self; true growth is not about changing emotions or persona, but rewriting your core. 你并不只有一个“自我”,而是被不同层次的自我共同驱动;所以真正的成长,不是改情绪和人设,而是改写内核

Identity & Agency
Who you are and how you act: self-model, motivation, and internal stability for action.

Identity 身份认同
Source: ① Robert Kegan’s Constructive-Developmental Theory of adult mental development; ② Daniel Dennett’s framework of the intentional, design, and physical stances.
Definition: Identity is an individual’s sense of belonging to a social role or group, shaping behavior, values, self-perception, and social interaction. Advanced identity means using identity as a tool, not being bound by it, enabling self-direction and mental growth.
Application: Mastering identity means: proactively set and switch identities, avoid being driven by a single one; empower actions in social, work, and learning contexts; reconstruct others’ identities to reduce conflict and friction.
Insight: Advanced players treat identity like clothing: wear what’s appropriate for the occasion, and hang it up at home.
高阶玩家的身份认同像衣服,到什么场合穿什么款式,回家了就脱下来挂在门口。
Security 安全感
Source: ① Mary Ainsworth’s Attachment Theory; ② John Bowlby’s “secure base” and “safe haven” model; ③ Amy Edmondson’s research on psychological safety.
Definition: Security is an individual’s stable sense of trust in their environment and relationships, the most basic human need. It enables exploration and creativity, and saves cognitive bandwidth. Advanced security means being able to support oneself and also be a source of support for others.
Application: Recognize your attachment style, identify anxious or avoidant patterns, reduce old emotional burdens; build a self-harbor (self-compassion) and a controllable environment; provide a secure base and safe haven in relationships, enhance others’ exploration and psychological safety, and gain strong social capital.
Insight: Security is the prerequisite for exploration, and exploration determines the breadth of one’s life journey.
安全感是一个人敢探索的前提,而探索决定了这个人能活出多大的生命历程。
Self-Determination Theory 自我决定理论
Source: First proposed as a framework by Edward Deci and Richard Ryan in the 1980s.
Definition: Self-determination theory states that human motivation ranges from external control to full autonomy. High-quality motivation comes from autonomy, competence, and relatedness, not just external rewards. Highly agentic people can actively choose, decide, and shape their lives.
Application: Managers, teachers, or parents can foster agency by providing choice, challenge and feedback, and relationship support; individuals can enhance self-drive by internalizing task meaning, making micro-decisions, and gamifying tasks; high agency helps create flow, achieve long-term learning, innovation, and excellence.
Insight: The strongest force is not self-discipline, but willingness.
人最强的不是自律,而是自愿。
Power-Seeking Theorems 能耐需求定理
Source: ① Alexander Turner’s 2021 research on AI agents; ② Theories in cognitive science and behavioural empowerment, such as Christoph Salge’s empowerment hypothesis; ③ The principle “the gentleman is not a mere instrument” in traditional Chinese thought, and Kant’s moral philosophy that humans are ends in themselves, not means.
Definition: The power-seeking theorem states: In uncertain environments, agents (including humans) are most likely to achieve long-term goals and growth by increasing their future options and capabilities. In short, don’t just pursue a single reward—actively enhance your abilities and degrees of freedom.
Application: Understanding this theorem means: consider more options in decisions, avoid path dependence on old narratives; add roles to your identity, don’t be trapped by a fixed one; learn not just specific tools but transferable understanding; maintain independence in social relations, avoid total dependence on a single power source.
Insight: The real difference between a gentleman and a petty person is being proactive vs. reactive.
君子和小人的真正区别是主动和被动。
Cognitive Decoupling 认知解耦
Source: ① Keith Stanovich’s research on slow thinking and cognitive decoupling; ② Lisa Feldman Barrett’s theory of constructed emotion; ③ Modern emotion regulation research, such as James J. Gross’s cognitive reappraisal theory.
Definition: Cognitive decoupling is the ability to separate “the narrative in your mind” from “the facts before your eyes,” thus regulating negative emotions. It works by recognizing the difference between perception and reality, taking others’ perspectives, and reassigning meaning to events, breaking the chain of automatic emotional reactions and giving individuals active control over emotions and actions.
Application: Prevent emotional rumination, reduce stress and health damage; maintain rational judgment in complex interpersonal and social situations; reappraise negative events as constructive opportunities to guide positive action; enhance metacognition so individuals can observe their own thinking rather than be controlled by emotions.
Insight: You can use cognitive decoupling to let some emotions arise and dissipate without getting on the train and following them.
你可以用认知解耦让某些情绪就这样升起又消散,而自己不必上车跟着它们走。
Decision & Strategy
How choices are made: structured decision-making under constraints and limited information.

Game Selection 赛道选择
Source: ① The biological concept of Niche Construction; ② Saras Sarasvathy’s Effectuation theory.
Definition: Game selection is a mental tool for choosing which “game” to participate in within society and career. Choosing different tracks means taking on different rules, risks, and growth paths. Advanced game selection skills can make effort yield exponential amplification, rather than mere repetitive labor or pursuit of stability.
Application: Identify the track that suits you, build your niche based on your resources and abilities, create unique value; use effectuation thinking to iteratively combine resources at hand and discover or create new opportunities.
Insight: The greatest fear is fantasizing about great achievements while stuck in the system, or longing for the system’s stability while living in a multiplicative world.
最怕的是身在体制内却幻想大闹天宫的成就,或者身处乘法世界却眷恋体制内的安稳。
Explore / Exploit 探索与利用
Source: ① The multi-armed bandit problem in computer science and decision theory; ② The Gittins index proposed by mathematicians.
Definition: Explore vs. Exploit is the strategy of balancing “trying new things (exploration)” and “deepening known advantages (exploitation)”: exploration discovers opportunities, exploitation creates value, and the combination leads to sustained growth and vitality.
Application: When choosing a career or learning direction, first explore different opportunities, then deepen strengths; in art or project management, try diverse approaches, then focus on effective strategies; maintain novelty and continuous learning to extend vitality and growth.
Insight: First explore, then exploit; after achieving results through exploitation, explore again, then exploit again.
先探索再利用,利用出成绩之后再探索,再利用。
WOOP Wish-Outcome-Obstacle-Plan
Source: A set of cognitive strategies popularized by Gabriele Oettingen.
Definition: WOOP is a thinking process that turns wishes into executable actions. Through mental contrasting and implementation intentions, it awakens the brain from a drifting state and enables proactive decision-making. The four steps are:
- Wish: clarify the goal you want to achieve;
- Outcome: imagine the specific feelings and benefits after achieving the goal;
- Obstacle: identify the most likely internal obstacles in the process;
- Plan: design executable plans for each obstacle.
Application: Helps individuals reduce on-the-spot decisions in life, study, and work, improve task accuracy; bind situational triggers to action plans to automate key behaviors and reduce procrastination; support calm and effective action under high pressure or low control.
Insight: WOOP turns the drifter’s unsolvable problem into the next solvable step; it’s a technique for regaining some control in an uncontrollable life.
WOOP 把漂流者的无解变成可解的下一步,它是一种在不可控生活中夺回一点可控的技术。
Bayesianism 贝叶斯主义
Source: A probability formula proposed in the eighteenth century by Thomas Bayes.
Definition: Bayesianism holds that probability is a measure of belief, not an attribute of objective things. It uses “prior” to represent your original judgment, updates the prior with “evidence” to obtain the “posterior” probability. Decision-making and reasoning are based on continuously updating beliefs, not just single outcomes or appearances.
Application: Daily decisions: judge health risks, investment opportunities, colleague reliability, etc.; risk management and strategy optimization: combine priors and evidence to avoid extreme overreactions; individual cognition: train rational thinking, keep room for “maybe I’m wrong,” avoid rigid or absent priors.
Insight: Priors are both our wealth and our cage.
先验既是我们的财富,也是我们的囚笼。
Value of Information (VOI) 信息价值
Source: Originating in the mid-twentieth century, representing a paradigm shift in statistics and management science.
Definition: Value of information refers to the usefulness of information for actual decision-making: only when information can change your action does it have value. It measures the average additional gain from making the best choice with information versus without it.
Application: Prediction markets and arbitrage: capture high-value information for stable returns; business management: focus on internal bottlenecks, process optimization, and key decision data, not just macro news or hot topics; personal life: choose information that improves key actions, not just to satisfy curiosity or fear of missing out.
Insight: It’s fine to be a “knowledge person,” but if you want to get things done, you need VOI awareness.
做个“知道分子”也挺好,但如果你想做点实事儿,你得有VOI意识。
It compares the “drifter,” who gets sucked into the latest hot news and FOMO, to the “sage,” who knows what really matters. It points out that just scrolling through info isn’t the same as actually doing something; only the stuff that actually helps you make choices and take action is worth it, while everything else is just background noise.
Systems & Structure
How the world is organized: interaction systems, environment structure, and feedback loops.

Field Theory 场域理论
Source: Proposed in the 1970s by French sociologist Pierre Bourdieu.
Definition: Field theory views society as composed of multiple relatively independent “fields,” each a network of relationships or a competitive arena. Position, resources, and rules within a field determine success or failure. Success depends not only on ability or effort, but on understanding and following the field’s orthodox beliefs and habits.
Application: Identify the structure and key positions of your field, understand the field’s default beliefs and rules; reflect on your own habits to judge compatibility with the field; accumulate capital valued by the field; strategically choose to adapt to or change the field to achieve growth and influence.
Insight: Effort is not hard currency; compliance is.
努力不是硬通货,合规才是。
Resonance / Resonanz 共鸣
Source: Proposed by Hartmut Rosa (1965–) in the mid-to-late 2010s.
Definition: Resonance is the mutual response and resonance between independent subjects, accompanied by a sense of mission. It means you are not just outputting, but receiving feedback in interaction. Resonance is divided into: “horizontal resonance” (between people), “diagonal resonance” (between people and things or work), and “vertical resonance” (between people and something greater).
Application: Transform comparative narratives in life into resonance narratives, such as sharing experiences or achieving goals together; find resonance points in career, art, or daily life to combine mission and joy.
Insight: Resonance requires you to allow the world to have its own voice: let materials talk back, let children be disobedient, let the market slap you, let a relationship take you somewhere you didn’t plan.
共鸣要求你允许世界有自己的声音:允许材料顶嘴,允许孩子不听话,允许市场打你的脸,允许一段关系把你带到你没计划的地方。
Supply-Side Mindset 供给侧心态
Source: ① Economics, Game Theory, and positive-sum thinking; ② Jon Levy’s 2025 book Team Intelligence.
Definition: Supply-side mindset means treating yourself as a module that provides verifiable value, proactively reducing collaboration friction, and embedding yourself in long-term repeated games and network effect structures. It emphasizes:
- ① Value creation: you must truly solve problems, not just talk;
- ② Friction elimination: make it easier and smoother for others to work with you;
- ③ Network reach: what level of collaborative circles you can access.
Application: Workplace: demonstrate problem-solving ability, provide practical solutions; Family and close relationships: optimize division of labor and processes, improve overall happiness; Global and policy: supply technology, standards, and systems, rather than zero-sum competition for resources.
Insight: In this highly interconnected, information-replicable, and complementary modern society, “being needed” is safer than “owning”.
在这个高度互联、信息可复制、充满互补性的现代社会,「被需要」是比「拥有」更安全的状态。
Free Energy Principle 自由能原理
Source: First proposed around 2005 by Karl Friston.
Definition: The free energy principle holds that living beings maintain structure and boundaries by minimizing “free energy” (roughly equivalent to surprise), i.e., by actively predicting the environment and adjusting themselves or the environment to survive and remain stable.
Application: Individuals reduce surprise through perceptual and active inference, achieving efficient learning, habit improvement, and psychological stability; organizations and companies lower system free energy by collecting information, adjusting strategies, and actions to maintain adaptability; education and behavior design can provide controllable surprise and environmental stability to improve attention and learning efficiency.
Insight: To live is to align yourself with the environment in both directions.
活着就是让自己跟环境双向「对齐」。
Uncertainty & Risk
How reality behaves under noise: randomness, risk distribution, and long-term survival under uncertainty.

No Free Lunch Theorem 无免费午餐定理
Source: Originating from algorithm optimization theory in computer science, proposed in 1997 by David Wolpert and William Macready.
Definition: The No Free Lunch Theorem states: there is no universally optimal decision or algorithm. Any method that performs well in a specific domain will necessarily perform poorly in others; optimization comes at a cost, and the effectiveness of decisions depends on individual biases and prior assumptions.
Application: Understand that there is no universally optimal decision in life and work; emphasize that decisions must first set values and biases, clarify goals and domains; conduct research, reasoning, and action under limited information and uncertainty; guide individuals to actively choose in adventures and adjust or exit decisions when necessary.
Insight: All things are impermanent, and decisions are always biased.
诸行无常,决策必有偏置。
Probability Distribution 概率分布
Source: ① Foundations in statistics and probability theory; ② Research on outcome bias in psychology; ③ Decision theory and behavioral economics, such as Thinking in Bets by Annie Duke; ④ Practical case studies in decision systems, such as systematic thinking by Scott Adams.
Definition: Probability distribution is a mathematical function describing the possible outcomes of a decision or event and their probabilities. It focuses not only on single outcomes but on the full range of future possibilities. The core of decision-making is not to pick the single “best” outcome, but to manage the overall distribution and understand the uncertainty of risks and opportunities.
Application: Decision-makers analyze probability distributions rather than single outcomes to evaluate strategies; manage tail risks and volatility in career choices, investment, healthcare, insurance, etc.; build and optimize systematic behaviors or skill accumulation, focusing on long-term probability distribution optimization; help cultivate stable, rational decision temperament, and avoid overreacting to random outcomes.
Insight: After the arrow leaves the string, whether it hits the target or not, you must maintain a certain calm indifference—because that’s a sample of wind and noise.
箭离弦之后,是否正中靶心,你要保持某种冷静的漠然——因为那是风向和噪声的抽样。
Kelly Criterion 凯利公式
Source: The 1956 paper A New Interpretation of Information Rate by John L. Kelly Jr. of Bell Laboratories.
Definition: The Kelly Criterion is a formula for calculating the optimal bet size in uncertain, repeatable, multiplicative environments. It uses win probability, odds, and cognitive advantage to decide how much to invest each time, maximizing compound growth over the long term while avoiding bankruptcy.
Application: The Kelly Criterion turns cognitive advantage into action size: increase investment when you have an edge, don’t bet when you don’t. It can be used for investment decisions, career choices, time allocation, and trust management; the core is to size positions based on the advantage, pursuing long-term compound growth rather than single wins or losses.
Insight: From the Kelly Criterion’s perspective, the fundamental freedom in life is always having the ability to make the next bet.
在凯利公式看来,人生的根本自由是你始终有下一次下注的能力。
Background: Bell Labs in 1956. Kelly transformed the communication noise problem into a gambling scenario and derived the optimal bet formula f* = (bp – q) / b. Emphasizes that the Kelly Criterion is the combination of information theory and capital compounding, and that growth is limited by cognitive bandwidth.
Non-Ergodicity 非遍历性
Source: ① Ergodicity theory in statistical physics and probability theory; ② Research on economic systems by physicist Ole Peters; ③ Analysis of time averages versus ensemble averages by Murray Gell-Mann; ④ Discussions on risk theory by Nassim Nicholas Taleb.
Definition: Non-ergodicity means that the average result of a system as a whole does not represent the true fate of individuals over time. In multiplicative growth environments, the ensemble average may be positive, but the time average experienced by individuals may keep declining or even lead to ruin.
Application: In investment, entrepreneurship, and other multiplicative worlds, individuals must control variance and avoid going to zero: reduce frequent trading, use barbell strategies or Kelly sizing, diversify risk through index investing or risk sharing, thus lowering the probability of ruin from non-ergodicity.
Insight: The multiplicative world is full of non-ergodicity risk, which is bad for individuals but good for the house.
乘法世界中充满了非遍历性风险,它对个体很不利但是对庄家很有利。
Using Bitcoin as an example, it highlights how wild price swings from 2015 to 2026 hit different kinds of investors. It points out that non-ergodicity is key here: folks who don’t sweat the short-term ups and downs, have a long-term view, or plenty of cash to back them up are the ones who really do well in investing. Just remember, one big crash can totally wipe out everyday people!
Optimization & Growth
How performance compounds: compounding advantage, learning efficiency, and cognitive performance scaling.

Compound Interest 复利
Source: ① Thomas Piketty’s discussion of r > g in Capital in the Twenty-First Century; ② Pierre Bourdieu’s theory of multiple forms of capital.
Definition: Compound interest means interest is calculated not only on the principal but also on accumulated interest, forming exponential growth over time. It applies not only to money but also to knowledge, skills, health, relationships, and other forms of capital. The key is to start early and persist long-term to form an uncatchable advantage.
Application: Compound interest helps accumulate wealth in financial investment and accumulate various forms of capital in personal growth: invest in human capital (knowledge, skills) in youth; deepen expertise, reputation, and social capital in middle age; focus on health, experience transfer, and influence in later years; ROI determines accumulation priority.
Insight: Interest rate is on you, compound interest grows in the system.
利率就在你身上,复利长在系统里。
Active High Cognitive Load 主动高认知负荷
Source: Developed from the Cognitive Load Theory (CLT) proposed in 1988 by John Sweller.
Definition: Active high cognitive load is a thinking mode that deliberately mobilizes a large amount of attention resources to handle complex, high-uncertainty tasks. It increases germane load, enabling the brain to build, integrate, and optimize internal models, thus entering flow and improving output and learning efficiency.
Application: In study or work, occupy working memory with difficult tasks to achieve deep thinking and constructive learning; in daily life, upgrade ordinary activities to analysis, reasoning, or reverse engineering tasks to create cognitive challenges; in organizations and project management, improve team attention allocation and complex problem-solving ability.
Insight: Active high cognitive load means not waiting for the world to give you problems, but turning the world itself into a problem.
主动高认知负荷就是不等待世界给你难题,而是把世界本身变成一道难题。
This dictionary is not about providing final answers. Instead, it helps readers ask better questions and think more clearly before making decisions.

Reference
- 万维钢 (2026),《现代思维工具 100 讲》与《现代思维工具辞典》。
- Wan Weigang (2026). 100 Lectures on Modern Thinking Tools & A Dictionary of Modern Mental Models.

















