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Longer pieces on logic, argument, reasoning and how decisions get made.

Puzzles · Nov 1, 2026

Einstein's Riddle: The Legend and the 1962 Magazine Page

The famous five-house logic puzzle has no documented link to Einstein. Its earliest known appearance is a 1962 issue of Life International, and its author is still unknown.

By Siobhan O'Reilly

Paradoxes · Nov 1, 2026

The Jam Table Problem and the Limits of a Famous Experiment

A 2000 study of tasting booths became a case for choosing less, but the wider evidence points to something more conditional.

By Marcus Adeyemi-Holt

Paradoxes · Nov 1, 2026

A Shortcut That Slows Everyone: Braess's Paradox and the Limits of the Map

A small traffic model shows how a new connector can leave every driver worse off, and why the result is a reason to ask harder questions about road proposals rather than a verdict on any particular road.

By Lila Serrano

Decisions · Oct 31, 2026

The Grid on the Desk: What the Eisenhower Matrix Sorts and What It Leaves Unsorted

A tidy two-by-two for separating urgent work from important work, resting on a famous attribution and a product blog's confident claims that the evidence here does not yet support.

By Marcus Adeyemi-Holt

Fallacies · Oct 31, 2026

Two Entries on the Same Card

A flawed argument shows that its support is weak, not that its conclusion is false, so the claim needs its own examination.

By Lila Serrano

Biases · Oct 30, 2026

The Bias You Cannot See in Yourself

A 2015 study found that nearly everyone rates themselves as less biased than their peers, and that intelligence does little to close the gap.

By Marcus Adeyemi-Holt

Decisions · Oct 30, 2026

The Penciled Date and the Decision It Serves

More information is only worth seeking when it could still change the choice in front of you.

By Lila Serrano

Paradoxes · Oct 29, 2026

If You Could Undo the Past, Who Gets Wiped From the Map?

National averages show factory jobs falling while total employment rose, but they cannot say which people or places a rewind would erase. Saint Paul's Rondo neighborhood shows what the stakes look like.

By Siobhan O'Reilly

Puzzles · Oct 29, 2026

Knights, Knaves, and How to Test What a Stranger Says

A puzzle genre built on two rules gives you a few simple checks, a worked example, and one case with no fixed answer.

By Marcus Adeyemi-Holt

Biases · Oct 29, 2026

The Hand Beside the Lever

Omission bias suggests people often judge harm caused by acting more harshly than the same harm caused by failing to act, though the early evidence leaves much unsettled.

By Lila Serrano

Decisions · Oct 28, 2026

Regret Theory: How Expected Regret Shapes Choices

Regret theory says people anticipate how a wrong call will feel and let that expectation steer decisions, sometimes away from the best expected value.

By Siobhan O'Reilly

Probability · Oct 28, 2026

Waking Up to the Question Beneath the Coin

The Sleeping Beauty puzzle rests on older questions about self-location, belief, and what it means to assign a probability at all.

By Marcus Adeyemi-Holt

Puzzles · Oct 28, 2026

The Lockers That Refuse to Close

A hundred doors, a line of students, and a counting argument that explains why only the perfect squares stay open.

By Lila Serrano

Paradoxes · Oct 27, 2026

Russell's Paradox and the Rulebook That Saved Set Theory

A 1901 self-referencing trap showed that not every description can define a set, and the axioms written in response still frame set theory today.

By Siobhan O'Reilly

Fallacies · Oct 27, 2026

The Castle Trick: How a Bold Claim Hides Behind a Modest One

A motte-and-bailey move lets a speaker retreat to a safe claim under pressure, then reclaim the bold one later. The accusation can also be misapplied.

By Marcus Adeyemi-Holt

Probability · Oct 27, 2026

The Envelope That Keeps Asking to Be Switched

A tidy expected-value calculation promises a quarter more from swapping envelopes, and the puzzle lies in whether that promise rests on a hidden assumption about how the amounts were chosen.

By Lila Serrano

Decisions · Oct 26, 2026

Quiet Rooms and Pencils: How the Delphi Method Gathers Expert Judgment

Delphi puts experts through anonymous rounds of questions and feedback. It can blunt the loudest voice in the room, but the result depends on choices made before the first answer.

By Marcus Adeyemi-Holt

Paradoxes · Oct 26, 2026

The Historian Who Trusts Every Entry and Expects One to Be Wrong

A student reasons that a promised surprise test is impossible. The argument rests on one assumption, and a historian's habits help find it.

By Lila Serrano

Biases · Oct 25, 2026

The Sign at the End of My Street

A familiar warning about children has never needed proof, and research on repetition suggests why it still feels true.

By Marcus Adeyemi-Holt

Fallacies · Oct 25, 2026

The Card Is Not the Object

Where a claim comes from can direct our scrutiny, but only the evidence and reasoning behind it can settle whether it holds.

By Lila Serrano

Puzzles · Oct 24, 2026

The Stack That Teaches You to Plan Backward

The Tower of Hanoi looks like a toy, but its rules and its move count quietly teach recursion and the cost of exponential growth.

By Marcus Adeyemi-Holt

Biases · Oct 24, 2026

The Card in Your Hand

Choice blindness experiments suggest that people can confidently explain a choice they never made, raising questions about how much access we have to our own reasons.

By Lila Serrano

Probability · Oct 23, 2026

The Total That Disagrees With Its Parts

Simpson's paradox shows how a pooled figure can reverse every subgroup comparison that produced it, and why the weights matter more than the arithmetic.

By Marcus Adeyemi-Holt

Puzzles · Oct 23, 2026

The Bulb That Keeps a Shared Memory

A light that no one else can watch must carry a precise meaning across days of silence, or the prisoners' claim cannot be trusted.

By Lila Serrano

Paradoxes · Oct 22, 2026

The Calendar That Empties Itself

A tidy logical proof seems to rule out a surprise test that ordinary experience says can still happen, and the gap between the two is where the puzzle lives.

By Marcus Adeyemi-Holt

Probability · Oct 22, 2026

The Wheel Keeps No Ledger

A run of twenty-six blacks at Monte Carlo tempted gamblers to bet on red, but independent spins owe nothing to what came before.

By Lila Serrano

Decisions · Oct 21, 2026

When the Countdown Jumps: Ambiguity Aversion at the Transit Stop

Riders may tolerate a long wait more easily than a countdown that changes without explanation, but the evidence for real-time screens is thinner and older than vendors suggest.

By Siobhan O'Reilly

Fallacies · Oct 21, 2026

The Old High Street and the Problem of What Survived

Survivorship bias may explain part of why old buildings look so good, but the evidence cannot yet say how much.

By Marcus Adeyemi-Holt

Paradoxes · Oct 21, 2026

The White Glove and the Raven

A familiar puzzle about confirmation asks whether an object unrelated to birds can still count as evidence that all ravens are black.

By Lila Serrano

Puzzles · Oct 20, 2026

Check the Frame Before You Swing

Teams often rush to fix problems they have not defined well. A few simple checks can make the starting question a deliberate choice, without stalling the work.

By Siobhan O'Reilly

Decisions · Oct 20, 2026

The Mast and the Paperwork

Odysseus's ropes make a good story, but a working precommitment needs four features, a named proxy, and a review date before anyone relies on it.

By Marcus Adeyemi-Holt

Fallacies · Oct 20, 2026

The Word That Moved Rooms

A repeated word can keep its spelling while its reference, sense, or emotional charge shifts, and readers may not notice the hinge until the argument has already settled.

By Lila Serrano

Probability · Oct 19, 2026

The Data That Lies to Your Face: How to Read a Statistic

Most misleading numbers are real. They go wrong when context is dropped, comparisons do not match, or uncertainty is hidden.

By Siobhan O'Reilly

Biases · Oct 19, 2026

The Steps That Disappear

Expertise can hide its own steps from the people who hold it. Asking a beginner to explain it back is one way to find them.

By Marcus Adeyemi-Holt

Decisions · Oct 19, 2026

When Good Enough Is the Right Answer

Herbert Simon's idea of satisficing asks when a reasonable threshold serves a chooser better than an endless search for the best option.

By Lila Serrano

Decisions · Oct 18, 2026

The Cold Argument Is Plausible but Unproven

Fewer winter deaths could offset some summer ones. The heat data is large and documented, but the cold side has not been sized in the sources reviewed.

By Siobhan O'Reilly

Puzzles · Oct 18, 2026

The Bookkeeping Behind Every Sudoku Solve

Fast solvers rarely get lucky; they track what each empty cell is still allowed to hold, and let those constraints do the work before any guess is made.

By Marcus Adeyemi-Holt

Biases · Oct 18, 2026

The Six-Word Note

A terse message can feel like a verdict on its sender, but the missing context often matters more than the words on the screen.

By Lila Serrano

Biases · Oct 17, 2026

Why We Keep Scrolling Bad News, and What the Evidence Says

Doomscrolling has real pull. The research suggests algorithms mostly reinforce existing drivers, and it leaves open how much each one contributes.

By Siobhan O'Reilly

Probability · Oct 17, 2026

The Hot Hand Fallacy May Be the Math's Fault

A selection bias in how streaks are counted could mean the famous 1985 verdict against the hot hand rested on a miscalculated baseline.

By Marcus Adeyemi-Holt

Puzzles · Oct 17, 2026

The Board That Refuses to Be Covered

Two missing corners leave enough squares for every domino, yet a checkerboard's hidden color pattern makes a complete tiling impossible.

By Lila Serrano

Probability · Oct 16, 2026

The Ghost Still Steering the Ship

A correction can be accepted and the false belief can still shape later judgment. What the research says about why, what might help, and what remains unmeasured.

By Siobhan O'Reilly

Paradoxes · Oct 16, 2026

The Old Place on the Corner

A sixty-year-old machine shop has changed nearly every part it owns, so the real question is which feature of the firm we are actually willing to call the same.

By Marcus Adeyemi-Holt

Probability · Oct 16, 2026

The Door the Host Opens

A familiar probability puzzle turns on what the visible goat reveals about the process that produced it, and on who knew what before the reveal.

By Lila Serrano

Paradoxes · Oct 15, 2026

The Crocodile Dilemma: A Promise No Choice Can Keep

A crocodile offers to return a child if the parent predicts its next move. One prediction leaves the promise impossible to keep, and the sources offer no resolution.

By Siobhan O'Reilly

Fallacies · Oct 15, 2026

The Weight of the Way Things Have Always Been

Concord's Town Meeting tests whether a practice's age is a reason to keep it, or only a reason to ask what it still does.

By Marcus Adeyemi-Holt

Paradoxes · Oct 15, 2026

Two Houses, One Night: Who Wakes Up?

Locke's prince-and-cobbler puzzle asks whether a person is the living body or the memories it carries, and the answer splits the question open.

By Lila Serrano

Puzzles · Oct 14, 2026

Twelve Coins, Three Weighings: The Balance Puzzle and Its Real-World Cousin

A balance scale can find one odd unit among twelve in three weighings, but regulators checking net contents work from samples instead.

By Siobhan O'Reilly

Decisions · Oct 14, 2026

Franklin's Moral Algebra, Written Out on Half a Sheet

In 1772 Benjamin Franklin gave a worried friend a two-column method for weighing a major decision, and its quiet logic still holds up.

By Marcus Adeyemi-Holt

Decisions · Oct 14, 2026

Deciding How to Decide: What the Folder Asks First

Before weighing a choice's merits, a leader can learn more by asking whether it can be undone, what undoing it would cost, and how much damage a wrong call could do.

By Lila Serrano

Probability · Oct 13, 2026

More Detail, Less Truth

Every vivid added detail feels like proof, but each one is another condition the claim has to survive.

By Siobhan O'Reilly

Biases · Oct 13, 2026

The Quiet Day a Project Should Have Ended

Sunk costs rarely announce themselves. The cheapest moment to stop a failing project is often the one nobody notices passing, so the stop rule has to be written early.

By Marcus Adeyemi-Holt

Biases · Oct 13, 2026

The First Line Before the Object

A catalog's opening words can shape how a viewer approaches an item, so cataloguers need to make those words accurate, attributed, and open about what the record cannot yet show.

By Lila Serrano

Biases · Oct 12, 2026

Who Tells the Rust Belt Comeback Story? What Federal Tech Awards Leave Out

Federal programs are steering money to heartland tech projects, but the public record shows few award sizes, no outcome data, and little about the regions that lost.

By Siobhan O'Reilly

Puzzles · Oct 12, 2026

What a Classroom Announcement Adds

A public statement changes less what a group knows than what each member can count on everyone else knowing.

By Marcus Adeyemi-Holt

Puzzles · Oct 12, 2026

Twelve Coins, Three Weighings, and the 24 Cases

Counting outcomes shows why three weighings is the minimum for twelve coins, and Dyson's labelling shows how a fixed plan covers every case.

By Lila Serrano

Probability · Oct 11, 2026

The Goat Behind the Door: Why Your Gut Keeps Losing the Monty Hall Game

The famous three-door puzzle exposes how quickly our intuition misreads chance, and how much the answer depends on rules most people never question.

By Siobhan O'Reilly

Probability · Oct 11, 2026

The Planner Did Not Save You

Extreme results tend to be followed by more ordinary ones, so a good week after a bad one proves less than it seems.

By Marcus Adeyemi-Holt

Probability · Oct 11, 2026

The Last Blank Square

As a sticker album fills, random packets mostly return duplicates, so the final missing card becomes a lesson in how odds narrow over time.

By Lila Serrano

Paradoxes · Oct 10, 2026

Buridan's Ass and the Problem of the Missing Donkey

The starving donkey carries the name of a real Paris logician, yet scholars generally say it does not appear in his surviving works.

By Siobhan O'Reilly

Paradoxes · Oct 10, 2026

The Box That Knows You

Newcomb's problem sets a fixed table of payoffs against two respectable principles of choice, and neither side can simply be waved away.

By Marcus Adeyemi-Holt

Paradoxes · Oct 10, 2026

Where the Repair Begins to Remake the Object

Each replaced part of a museum artifact raises the question of when conservation stops preserving an object and starts making a different one.

By Lila Serrano

Probability · Oct 9, 2026

A Number Alone Can Mislead You Until You Ask Which Group It Counts

Using 2000 U.S. mortality figures and a screening-test example, this piece shows how conditional probability and Bayes' theorem separate a group's real risk from the look-alike number that often gets quoted instead.

By Siobhan O'Reilly

Fallacies · Oct 9, 2026

Painting the Bullseye After the Shot

Data dredging rarely looks like fraud from the inside, which is why the catalog's warning about undisclosed analysis matters to anyone who reads a study.

By Marcus Adeyemi-Holt

Fallacies · Oct 9, 2026

What One Photograph Can and Cannot Prove

A family snapshot can preserve a vivid moment, but turning that moment into a claim about everyone requires far more care than the picture alone can provide.

By Lila Serrano

Paradoxes · Oct 8, 2026

The Logic of the Dirt

We try to measure the world with ones and zeros while the sand clogs the sensors.

By Siobhan O'Reilly

Decisions · Oct 8, 2026

Which Way Does the Door Swing

Most decisions can be reversed, but the ones that cannot deserve a different kind of attention, and telling them apart is a skill worth practicing.

By Marcus Adeyemi-Holt

Decisions · Oct 8, 2026

A Time Capsule for Decisions

A dated record of what you knew, feared, and expected can help you judge a choice without letting its outcome rewrite the past.

By Lila Serrano

Articles | Deeperpectives