ONE OF SEVEN WAYS OF SEEING
Borrow powerful explanations from the natural world.
Damasio describes homeostasis as regulation that keeps living systems within ranges compatible with survival and flourishing. The excerpt extends this idea by analogy to people and organizations adapting their goals after change, with feelings as one source of feedback.
Repeated independent left-or-right steps produce a binomial distribution: middle outcomes can occur in more ways than extreme ones. With many steps and suitable scaling, its shape approaches a Gaussian bell curve.
Different fields of study use distinct methods to determine and verify truth: science relies on the scientific method, while mathematics uses logic. Misuse of terms like 'logic' and 'mathematically' in arguments often reflects a desire for irrefutable proof but can be misleading.
Activation energy is the minimum energy required to initiate a chemical reaction. In daily life, it represents the effort needed to start a task or habit, and reducing it can make desired behaviors easier to adopt.
In English prose, active voice often makes it easier to identify who does what. Passive voice can still be useful when the actor is unknown or the action’s recipient is the focus.
Evolutionary adaptation is change across generations that makes a population better suited to its environment. Heritable morphological, physiological, behavioral, or molecular traits can spread when they improve reproductive success under the conditions involved.
For mutually exclusive events, P(A or B) = P(A) + P(B). If the events can overlap, subtract P(A and B) so the overlap is not counted twice.
The expected value of a sum equals the sum of the individual expected values, even when the quantities are not independent. This lets us combine expected profits, costs, or payouts. It does not, by itself, tell us how variable the total will be or guarantee that a particular outcome will be profitable.
Algebra is a branch of mathematics that uses variables and equations to represent unknown values and solve quantitative problems. It is foundational in fields like physics, engineering, business, and computer science.
An algorithm is an automated set of rules defining a series of steps or procedures to achieve a desired outcome, often expressed as If-Then statements. They are fundamental to computing and also appear in biological systems.
Surprising observations that conflict with existing beliefs can reveal hidden knowledge or lead to paradigm shifts. The story of the London Homeopathic Hospital's low cholera mortality rate illustrates how dismissing anomalies as absurd can delay progress.
V.S. Ramachandran studies unusual neurological experiences by asking whether a reported phenomenon can be demonstrated, what mechanism could explain it, and what it reveals about ordinary brain function. In this interview, phantom limbs, synesthesia, and apotemnophilia provide test cases. Some proposed explanations remain preliminary, including the links between synesthesia, genes, and creativity.
Taleb argues that large firms can shift costs onto customers, smaller businesses, or the public while retaining the gains. His critique concerns incentives to sell more, political protection from losses, and the contrast with an artisan’s personal responsibility for a product.
This text challenges the assumption that more data always leads to better predictions, using examples like weather forecasting (chaos theory) and the Netflix Prize to illustrate inherent limits in inference, especially for human behavior.
When matching separately collected information to an event, examine whether the proposed link is justified. The source borrows checks from causal analysis while distinguishing a correct match from proof that one thing caused another.
An element is defined by the number of protons in its atoms; isotopes differ in neutron count. Molecules contain bonded atoms, while ions carry a net electric charge. Chemical reactions rearrange atoms and electrons without changing the elements involved.
In an autocatalytic reaction, a product catalyzes further production of itself. Under suitable conditions, this feedback accelerates the reaction before reactant depletion slows it. Similar feedback patterns can serve as analogies in other fields.
Associative (automatic) and rule-based (controlled) reasoning are parallel systems; deliberate rule-based processes can become automatic through practice and internalization, and they interact in cognitive development.
Bayes' Theorem is a mathematical formula for updating the probability of a hypothesis based on new evidence, integrating prior knowledge to refine predictions.
Bayes's Rule is a mathematical formula for updating the probability of a hypothesis based on new evidence. It underlies many areas of reasoning, from science to everyday predictions.
Bayesian networks are probabilistic graphical models that represent conditional dependencies between variables using a directed acyclic graph. They are used to compute probabilities of hypotheses given evidence and can be combined with decision trees (CART) for efficient learning, as illustrated by the task of comparing German cities by population.
Bayesian thinking is a statistical method that updates probabilities with new evidence to refine beliefs and improve decision-making.
Bayesian updating is the process of revising the probability of a hypothesis based on new evidence, often quantified as a posterior probability.
The bell curve, or Gaussian distribution, describes how many natural phenomena cluster around an average, with fewer instances at extremes. Sir Francis Galton's enthusiasm for this distribution, driven by its Platonic purity, helped spread its use into statistics and social sciences, though it is often misapplied.
A late-19th-century system of criminal identification using a set of anatomical measurements, based on the assumption that each person's body dimensions are unique and stable over time. Galton's analysis of correlated measurements revealed diminishing returns from adding more measurements, leading to the development of correlation and the eventual replacement by fingerprinting.
The bias cut is a technique of cutting fabric at a 45-degree angle to the grain, exploiting the fabric's increased stretch and lateral contraction to create fluid, form-fitting garments without the need for corsetry or elastic.
The mean squared error (MSE) can be decomposed into bias squared plus noise (variance). Bias and noise are independent and equally weighted, so reducing either by the same amount yields the same reduction in overall error. Reducing noise matters even when bias is unknown.
A bifurcation is a qualitative change in a system’s dynamics as a parameter varies. It can involve a change in stability or the emergence of oscillation; it does not always mean splitting into two behaviors.
A period-3 window is a region of a bifurcation diagram in which an orbit repeats periodically. The excerpt connects it with Li and Yorke’s Period Three Implies Chaos, but overextends that connection into claims about all later behavior and real-world social systems.
No amount of confirmatory observations can prove a universal statement, but a single counterexample suffices to refute it — a fundamental challenge to inductive reasoning and naive empiricism.
A smooth curve can be approximated locally by its tangent line. The derivative describes the local rate of change; for position measured over time, it gives instantaneous velocity. Ellenberg uses zooming in on a curved path to explain the idea.
A catalyst speeds a chemical reaction by providing a pathway with a lower activation-energy barrier. It is regenerated in the catalytic cycle and does not change the reaction’s equilibrium. In organizational change, this offers an analogy for removing barriers, though people and programs do not behave exactly like chemical catalysts.
In complex systems, an effect may appear far from its contributing causes or long after them. Senge argues that recurring problems require examining interactions and delays beyond the most visible symptom.
Chaos theory studies deterministic systems whose nearby starting states can separate rapidly. Limited measurement precision can therefore restrict how far ahead individual trajectories can be predicted, even when the governing rules are known. Nonlinearity, complexity, and change alone do not establish chaos.
This concept discusses how cognitive and psychophysical factors shape decision-making in risky and riskless contexts, highlighting how framing and mental accounting can lead to preferences that violate rational choice theory.
A stock-flow model demonstrating Newton's law of cooling and warming, where the rate of temperature change is proportional to the discrepancy between the object and ambient temperature.
Comparative advantage is an economic principle stating that parties should specialize in producing goods where they have the lowest opportunity cost and trade, even if one party is more efficient in all areas. However, critics argue that without equitable power dynamics, such specialization can reinforce inequality.
Under stable conditions, species with the same niche and dependence on the same limiting resources cannot coexist indefinitely if one consistently outcompetes the other. Resource partitioning can reduce that competition; exclusion can mean disappearance from a local habitat rather than global extinction.
For two events, multiply the first event’s probability by the second event’s probability given the first. For independent fair coin tosses, two heads have probability 0.5 * 0.5 = 0.25. Sequence alone does not imply dependence.
Expert judgment depends partly on opportunities to learn from prompt, clear feedback. The passage contrasts forecasting tasks, reports overconfidence in estimates of physical constants and explains how forgiving decisions can conceal a need to improve.
Majority preferences can cycle even when each voter has a consistent ranking: A beats B, B beats C, and C beats A. Arrow’s theorem shows that, with multiple alternatives and unrestricted individual rankings, no rule for producing a consistent social ranking can meet all of its specified fairness conditions.
Condorcet argued that quantitative study of society should help guide government. Ellenberg presents this commitment to social science as an enduring part of Condorcet’s political thought, despite the limits of his voting-system aspirations.
Confirmatory data analysis tests a hypothesis using methods and decision criteria specified before examining the test results. It can follow exploratory analysis, preferably using independent data, and provides evidence for or against a claim rather than a guarantee of truth.
In physical systems with exponential growth, reinforcing loops drive growth while balancing loops constrain it, because infinite growth is impossible in a finite environment. Nonrenewable resources are stock-limited, and renewable resources are flow-limited.
Contrast places different elements together so their differences stand out. Artists and designers use changes in color, brightness, volume, pace, or texture to direct attention and shape a work’s effect.
Convexity bias, derived from Jensen's inequality, explains why the average of a convex function exceeds the function of the average, giving a hidden advantage to optionality and antifragility. This allows one to be wrong more often than right yet still outperform due to convex payoffs.
Taleb proposes that variation in the timing and composition of food intake may matter as much as average intake. He uses Jensen’s inequality to frame the hypothesis: variation can help where the relevant response is convex. Establishing that response in nutrition requires evidence; nonlinearity alone does not show that random eating patterns are beneficial.
Correlation measures the degree of association between two variables, but it does not imply causation. It can be understood geometrically as the cosine of the angle between vectors in high-dimensional space, and it is not a transitive relationship.
Correlation does not imply causation; this concept explains that two variables may be correlated without one causing the other, as illustrated by examples such as smoking and marriage, or HDL cholesterol and heart attack risk.
Correlated measurements share information, so an additional measurement may tell you less than an independent one. Data compression exploits such redundancy to store images, music and other information more efficiently.
Robert K. Merton's CUDOS norms—Communism, Universalism, Disinterestedness, and Organized Skepticism—describe the ideal normative structure for a self-correcting scientific community, applicable to any truth-seeking group.
Data aggregation makes information easier to obtain and analyze, but group averages conceal differences within groups. An area’s average income, for example, does not describe the income of every resident.
Sampling determines which observations support a decision and which population the findings can describe. Define that population, examine who is reachable and who is missing, and choose a sample size and time window suited to the question.
Neuroscientific research by Antonio Damasio reveals that emotions are essential for decision-making; individuals with impaired emotional processing struggle to make even simple choices. This principle challenges the assumption that logic alone drives decisions, especially in negotiation, where understanding emotional factors is key.
Deduction asks whether a conclusion must follow from its premises; a valid argument can still have false premises. Induction draws conclusions supported, but not guaranteed, by observations. Dialectical approaches examine competing ideas and contradictions to develop a better account of a problem.
Dependence analysis examines relationships among variables. Banasiewicz organizes causal assessment around sequence, association, possible confounding, and a plausible explanation. Statistical dependence can support an investigation, but it does not by itself show that one factor causes another.
Daryl Davis used personal conversations and friendships to challenge white supremacists' stereotypes, leading many to leave the KKK. Direct interpersonal contact can destabilize deeply held prejudices.
Discrimination measures how well probability judgments distinguish between occurrences and non-occurrences of a target event, analogous to d' or area under an ROC curve.
DNA replication copies a cell’s DNA before division. Each original strand serves as a template for a complementary new strand, helping transmit genetic information to daughter cells. In eukaryotic cells, replication occurs during the S phase of the cell cycle.
The researchers propose that people apply statistical reasoning more readily when the sample space and role of chance are clear and the domain encourages it. They compare objectively measured events with subjective judgments to examine this domain specificity.