Chapter 1 Exercises
How to use these exercises: Work through the parts in order. Part A builds recognition skills, Part B develops analysis, Part C applies concepts to your own domain, Part D requires synthesis across multiple ideas, Part E stretches into advanced territory, and Part M provides interleaved practice that mixes skills from all levels.
For self-study, aim to complete at least Parts A and B. For a course, your instructor will assign specific sections. For the Deep Dive path, do everything.
Part A: Pattern Recognition
These exercises develop the fundamental skill of noticing cross-domain patterns.
A1. Each of the following pairs describes a phenomenon from two different fields. For each pair, identify the abstract pattern they share and name at least one additional field where the same pattern appears.
a) A thermostat maintaining room temperature / The Federal Reserve adjusting interest rates to maintain target inflation
b) A snowball rolling downhill, growing larger and picking up more snow / A social media post going "viral" as each share exposes it to exponentially more people
c) The way a flock of starlings moves in coordinated murmuration without a leader / The way a walking trail emerges across a campus lawn without any central planning
d) A traffic jam that appears and persists long after the original cause (a rubbernecker) has left / A recession that continues even after the initial shock (a bank failure) has been resolved
A2. Read the following scenario and identify as many cross-domain patterns as you can (aim for at least three):
A startup company begins with a small, passionate team. Early on, everyone knows everyone. Communication is informal and fast. The company grows rapidly, attracting more customers and more employees. As it grows, communication becomes harder. The founders institute formal processes -- weekly meetings, written reports, approval chains. These processes improve coordination but slow down decision-making. Some of the original employees, frustrated by the bureaucracy, leave. The company continues to grow, but its rate of innovation declines. It becomes very efficient at doing what it already does but very slow at adapting to new market conditions.
A3. For each of the following, decide whether it represents a structural homology (deep structural parallel) or a functional analogy (surface-level similarity). Explain your reasoning.
a) "The human brain is like a computer."
b) "Bank runs and avalanches follow the same cascade dynamics."
c) "A corporation is like a living organism."
d) "Epidemic spread and the diffusion of innovations follow the same S-curve."
e) "Love is a battlefield."
A4. The text distinguishes between positive feedback (amplifying deviation) and negative feedback (correcting deviation). Classify each of the following as positive or negative feedback, and explain why:
a) When a student gets a bad grade, they study harder, which leads to a better grade on the next test.
b) When a student gets a bad grade, they feel discouraged, study less, and get an even worse grade next time.
c) When housing prices rise, more people want to buy houses (before prices go even higher), which increases demand, which drives prices up further.
d) When the price of a product rises, consumers buy less of it, which reduces demand, which puts downward pressure on the price.
e) When a forest fire burns dead wood and underbrush, it clears space for new growth, which eventually produces more dead wood and underbrush, which fuels the next fire.
A5. Name a cross-domain pattern that you have noticed in your own life -- something that operates the same way in two or more areas of your experience. Describe the pattern, identify at least two domains where you see it, and explain why you think it is a structural homology rather than a coincidental similarity.
Part B: Analysis
These exercises require deeper analysis of cross-domain connections.
B1. The chapter argues that convergent discovery -- the independent arrival at the same idea by people in different fields -- is evidence of deep structure. Evaluate this argument critically.
a) What is the strongest version of this argument? Why does convergent discovery provide evidence that a pattern is "real" rather than imposed by the observer?
b) What is the strongest objection to this argument? Could convergent discovery be explained by something other than deep structure? (Hint: consider shared cultural context, shared cognitive biases, shared mathematical training.)
c) How would you design a test to distinguish between these explanations?
B2. The text identifies three reasons why the same patterns recur across domains: (1) universal constraints, (2) identical mathematics, and (3) limited ways to organize complexity. Analyze these three explanations:
a) Are they independent, or are some of them consequences of others? For example, is "identical mathematics" an explanation or merely a description of the phenomenon?
b) Can you think of a fourth reason not mentioned in the text?
c) Which of the three explanations would be most convincing to a skeptic? Why?
B3. The chapter distinguishes between structural homology and functional analogy. Consider the claim: "The immune system is like a military defense system." Analyze this claim in detail:
a) What specific structural features do the immune system and a military defense system share? (Consider: detection of threats, classification of threats, response mobilization, memory of past threats, distinction between "self" and "other.")
b) Where does the analogy break down? What features of the immune system have no military parallel, and vice versa?
c) Is this a structural homology or a functional analogy? Justify your answer.
d) If you decided it was a structural homology, what predictions would that generate? That is, what would you expect to find in one system based on your knowledge of the other?
B4. Substrate independence is identified as the chapter's threshold concept. Explore its limits:
a) Give an example of a pattern that truly is substrate-independent -- one where the pattern operates identically regardless of what it is made of.
b) Give an example of a pattern where the substrate matters -- where the same abstract structure behaves differently depending on what implements it.
c) What determines whether a pattern will be substrate-independent or substrate-dependent? Can you articulate a general principle?
B5. The chapter mentions the 2008 financial crisis as an example of a failure caused by disciplinary siloing. Research or recall the basic mechanics of the crisis and identify:
a) At least two cross-domain patterns (from the list in Section 1.5) that were operating in the lead-up to the crisis.
b) Which fields had the relevant knowledge to predict the crisis, and why that knowledge did not reach the people making decisions.
c) How cross-domain pattern recognition might have helped, and what its limitations would have been.
Part C: Application
These exercises ask you to apply cross-domain thinking to your own field or area of interest.
C1. Choose a concept from your primary field of study or work. (If you are a student, choose a concept from the field you are studying. If you are a professional, choose a concept from your industry.)
a) Describe the concept clearly in one paragraph.
b) Search for an analogous concept in at least two unrelated fields. Describe the analogues.
c) For each analogue, classify it as a structural homology or a functional analogy, and explain your reasoning.
d) If any of the analogues are structural homologies, what does the cross-domain connection suggest about your original concept that you might not have noticed otherwise?
C2. Think of a problem you are currently facing in your work or studies. Now, deliberately reframe that problem using vocabulary from three different fields:
a) Reframe it as an engineering problem. b) Reframe it as a biological problem. c) Reframe it as an economic problem.
For each reframing, note: does the new vocabulary suggest different solutions or interventions? Does seeing the problem through a different disciplinary lens change what you think the most important variables are?
C3. Conduct an informal audit of your information diet. Over the past month:
a) How many different fields or disciplines have you read about, listened to, or watched content about?
b) How specialized is your information consumption? Would you characterize it as deep-and-narrow, broad-and-shallow, or something else?
c) Based on the arguments in this chapter, what would you change about your information diet to improve your capacity for cross-domain pattern recognition? Be specific.
C4. Look at the organizational structure of your workplace, university, or community. Identify one example of disciplinary siloing -- a case where knowledge or skills in one part of the organization are not reaching another part where they would be useful.
a) Describe the silo. b) What is the structural barrier preventing knowledge transfer? c) Propose a specific, practical intervention that would help bridge this silo. d) What pattern from this chapter does the silo illustrate?
Part D: Synthesis
These exercises require connecting multiple concepts from the chapter.
D1. The chapter introduces the concept of substrate independence and the concept of convergent discovery. How are these two ideas related? Construct an argument that convergent discovery is evidence for substrate independence. Then construct a counterargument.
D2. The chapter distinguishes three tiers of citation (verified, attributed, synthesized). Consider how this framework might apply beyond books:
a) Apply the 3-tier framework to news reporting. What would Tier 1, 2, and 3 claims look like in a newspaper article? Give examples.
b) Apply it to workplace communication. When your boss makes a claim in a meeting, how would you categorize it?
c) Apply it to your own thinking. When you "know" something, how often is your knowledge actually Tier 1 versus Tier 2 versus Tier 3?
d) Is this 3-tier distinction itself a cross-domain pattern? Where else have you seen a similar distinction?
D3. The chapter uses the parable of the blind men and the elephant to illustrate disciplinary siloing. But the parable has an implicit assumption: that there is an elephant -- a single unified reality that the blind men are separately encountering.
a) Is this assumption justified? Are the patterns that different disciplines discover really pieces of the same "elephant," or might they be genuinely different phenomena that only look similar from a distance?
b) How would you test whether two patterns from different domains are "parts of the same elephant" versus "two different animals that happen to have similarly shaped legs"?
c) What are the consequences of getting this wrong in each direction -- of assuming unity where there is diversity, or assuming diversity where there is unity?
D4. Design a thought experiment that would help someone understand substrate independence without using any of the examples from the chapter. Your thought experiment should:
a) Start with a concrete, familiar scenario b) Show the same pattern operating on at least two different substrates c) Make it clear that the pattern is structural, not just metaphorical d) Be explainable to someone with no technical background
D5. The chapter argues that cross-domain pattern recognition is a skill, not just a body of knowledge. What does this distinction imply about how it should be taught and learned? Consider:
a) How does skill acquisition differ from knowledge acquisition? b) What role does practice play? What kind of practice? c) Can this skill be taught in a traditional lecture format, or does it require a different pedagogical approach? d) How would you know if someone had truly developed this skill versus merely memorizing a list of cross-domain patterns?
Part E: Advanced
These exercises push beyond the chapter's content into more challenging territory.
E1. The chapter claims that cross-domain patterns are "not metaphors but structural facts." Engage with the philosophical challenge this claim raises:
a) What is the ontological status of a "pattern"? Is a feedback loop a real thing, or is it a conceptual tool we impose on reality?
b) If patterns are real, what kind of thing are they? They are clearly not physical objects. Are they mathematical structures? Platonic forms? Functional categories?
c) How does your answer to (b) affect the strength of the claim that cross-domain patterns represent "deep structure"?
d) Could a committed nominalist -- someone who believes only particular things exist, not abstract universals -- accept the claim that cross-domain patterns are real? How would they reinterpret the evidence?
E2. The chapter mentions Thomas Nagel's "View From Nowhere" and proposes instead a "View From Everywhere." Engage with the epistemological implications:
a) Is the "view from everywhere" genuinely different from the "view from nowhere," or is it just a more honest way of describing the same aspiration -- to transcend particular perspectives and see things as they really are?
b) What are the limits of the "view from everywhere"? Are there truths that can only be seen from within a particular discipline and that are invisible from the intersection of disciplines?
c) Is there a danger that the "view from everywhere" produces a false sense of understanding -- a feeling of comprehension that masks real ignorance about the details of each field?
E3. Investigate the relationship between substrate independence and reductionism:
a) Substrate independence seems to imply that higher-level patterns are more fundamental than their substrates -- that the feedback loop matters more than whether it is implemented in neurons or transistors. Is this an anti-reductionist position?
b) If so, how does it coexist with the fact that the substrates follow their own laws (physics, chemistry, biology)? Is there a contradiction?
c) The philosopher Jerry Fodor argued for the "autonomy of the special sciences" -- the idea that the patterns described by psychology, economics, and other high-level sciences are real and irreducible even though they are implemented in physical substrates. How does this relate to substrate independence?
E4. The chapter mentions that "nature is constrained in how it can organize complexity." This is a strong claim. Evaluate it:
a) What evidence supports it? Consider convergent evolution, the limited number of crystal structures, the recurrence of network topologies, and the universality of certain mathematical distributions.
b) What evidence challenges it? Is it possible that our perception of limited organizational strategies reflects a failure of imagination rather than a constraint of nature?
c) If the constraints are real, where do they come from? Are they mathematical (following from the properties of numbers and geometry), physical (following from the laws of physics), or informational (following from the requirements of information processing)?
Part M: Mixed Practice
These problems interleave concepts and skills from across the chapter and are designed to strengthen retention through varied practice.
M1. You are reading an article about how ant colonies allocate foragers to food sources. The article describes a process in which ants that find food lay pheromone trails, which attract more ants, which lay more pheromone, which attracts more ants -- but the pheromone also evaporates over time, so trails to depleted food sources gradually fade.
a) Identify the feedback loops in this system (both positive and negative). b) Is this an example of structural homology with any human system? If so, which one? c) Would you call this a cross-domain pattern or a domain-specific phenomenon? Why? d) Add this to your Pattern Library if you think it qualifies as a cross-domain pattern.
M2. A friend says: "Cross-domain pattern recognition is just a fancy name for making analogies. Analogies are useful for explaining things, but they don't actually tell you anything new about the world." Respond to this objection using the vocabulary and arguments from the chapter. Be specific.
M3. Classify each of the following claims by tier (Tier 1: verified, Tier 2: attributed, Tier 3: synthesized):
a) "The human body maintains its temperature at approximately 37 degrees Celsius." b) "Darwin's theory of natural selection was independently discovered by Alfred Russel Wallace." c) "The 2008 financial crisis could have been prevented if economists had studied ecology." d) "Robert Merton documented over 150 cases of multiple discovery." e) "Substrate independence is the most important concept in this chapter."
M4. Without looking back at the chapter, list: a) The five new concepts introduced b) The three reasons why the same patterns recur across domains c) The seven components of a Pattern Library entry d) The difference between structural homology and functional analogy
Check your answers against the text. Which items did you remember most accurately? Which did you struggle with? What does this tell you about which concepts you have genuinely learned versus merely read?
M5. Design a one-hour workshop for colleagues in your field titled "Seeing the Hidden Patterns." Your workshop should:
a) Open with a concrete, surprising example of a cross-domain pattern relevant to your field b) Introduce the concepts of structural homology and substrate independence c) Include a hands-on exercise where participants practice identifying cross-domain patterns d) Close with a discussion of how cross-domain thinking could improve practice in your field e) Address the likely objection that this is "just analogy-making"
Write a detailed outline (not a script) for this workshop.
M6. Reflect on your reading of this chapter and answer honestly:
a) Which idea in this chapter did you find most compelling? Why? b) Which idea did you find most questionable? Why? c) Did your understanding of any concept change as you worked through these exercises compared to when you first read the chapter? d) Based on your experience with this chapter, which reading path (Fast Track, Deep Dive, or Explorer) seems most appropriate for you going forward?
Return to Chapter 1: The View From Everywhere