How the Voting Rule Changes the Outcome
Voting outcomes depend on the counting rule, not just on what voters want — a fact demonstrated by running identical ballots through plurality, Borda count, and instant-runoff voting.
14 min 7 scenes
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History, Culture & Ideas
History, philosophy, culture, language, and intellectual history.
What most people assume before they start
Why Is a Stop Sign Octagonal?
The octagonal shape of a stop sign is a deliberate design choice that lets drivers identify it by silhouette alone, even when the word 'STOP' is unreadable, and this choice was standardized through early 20th-century traffic engineering.
16 min 8 scenes
The Rise of Neural Networks
The story of how neural networks survived a bitter AI winter to become the engine of today's artificial intelligence.
22 min 11 scenes
The Divergent Puzzle: Why 1 + 2 + 3 + … = −1/12
The sum of all positive integers is undefined under ordinary addition, but the Riemann zeta function extended to s = −1 yields −1/12, and this analytic continuation is the precise sense in which 1 + 2 + 3 + … = −1/12.
18 min 9 scenes
Phi in Your Hands: A Paper-Square Hunt for the Golden Ratio
The golden ratio is the unique number φ ≈ 1.618 that satisfies φ = 1 + 1/φ, the limit of Fibonacci ratios, and the proportion of squares that fit into a self-similar spiral — and it shows up reliably in some natural growth but is often misread elsewhere.
18 min 9 scenes
Empire vs. the Megaphone
Why instant broadcast breaks the information monopoly that empires depend on, why this destabilizes the regime more than the army, and why modern states respond with spectacle, loyalty rituals, and surveillance rather than collapsing.
18 min 9 scenes
Could the Roman Empire Survive the Internet?
Roman imperial durability depended on roads, legion discipline, bread-and-circuses legitimacy, and a unifying religious-civic identity — and each of those would be transformed, some weakened and some strengthened, by networked communication.
16 min 8 scenes
Why Can't We Just Print More Money?
Money's value comes from what it can buy, not from the number printed — so increasing the supply without increasing real goods only dilutes purchasing power and triggers inflation.
16 min 8 scenes
부모님이 남긴 말, 다시 듣기
비난처럼 들렸던 부모님의 말이 실제로는 두 개의 층—표면의 톤과 그 아래의 보호 임무—으로 이루어져 있다는 사실과, 그 두 층을 어른의 눈으로 분리해서 다시 분류하는 세 가지 패턴.
16 min 8 scenes
天下之中：中国人的中心想象
“天下之中”把中原、王权、礼制和文明联系起来，使中心不只是地图上的位置，而成为衡量远近、秩序与文化资格的尺度。
16 min 8 scenes
何为中国
中国的核心认同来源于'居于中央的文明'这一观念,而非任何单一王朝或政权。
8 min 4 scenes
Why Can't We Just Print More Money?
Printing more money doesn't create wealth — it dilutes the value of every existing dollar, leading to inflation and economic collapse.
16 min 8 scenes
The Deadliest Virus on the Planet
The deadliest virus is not the most aggressive one — it is the most contagious and invisible one, because lethality multiplied by silent spread produces the highest total death toll.
8 min 4 scenes
降龙十八掌：至刚之力的来源与极限
理解'至刚'不是单纯的蛮力输出，而是内力与外力、招意与时机的高度协同；同时看清这种'刚'在面对更高层级力量时的天然边界。
16 min 8 scenes
金庸武侠的武功层级是怎么划出来的？
解释武侠读者用来把人物分成“一流”“绝顶”“宗师”的判据，并演示它们在十四部作品间的可迁移性。
16 min 8 scenes
金庸十四书，谁在云端
金庸十四部小说武功体系的层级划分逻辑，以及为何这六大高手能够突破各自作品的边界，被公认为金庸宇宙的绝顶存在。
16 min 8 scenes
Worst-Day Cutoffs Beyond Reality TV
A pattern-level view of how 'worst-day' thresholds operate in auditions, hiring, admissions, finance, sports, and aid distribution — and why the day sampled frequently matters more than the rule stated.
18 min 9 scenes
镜像反转：艺术中的对称魔法
镜像反转不是简单的复制粘贴，而是一种把同一形状分成两个对立的'世界'的装置——它制造意义，靠的是让差异在对称中现身。
16 min 8 scenes
How Borda Count Crowns a Loser
Borda count collapses the *ordering* of preferences into *points*, so the size of the margin at each rank — not just the ranking itself — decides the winner, and this lets a candidate who is last against every rival still win overall.
16 min 8 scenes
When Elections Misbehave: Arrow's Impossibility in Practice
Arrow's impossibility becomes tangible when a single set of ballots reveals three different failures: plurality violates Independence of Irrelevant Alternatives through a spoiler, Borda count violates Condorcet/transitivity via a reversal, and instant-runoff voting fails transitivity through a cycle.
16 min 8 scenes
Who Invented the 'Dark Ages'?
The 'Dark Ages' was coined by the Renaissance poet Petrarch to describe the centuries after Rome fell, and later weaponized by Protestant reformers attacking the Catholic Church — making it a label of convenience, not a historical verdict.
8 min 4 scenes
The Treaty of Paris in 1783: What Actually Changed on the Ground
The Treaty of Paris transformed three specific parts of everyday colonial life—western land access, Mississippi River trade, and Atlantic fishing rights—because its clauses were written as legal transfers of geography, not just as a declaration that fighting had stopped.
8 min 4 scenes
이순신, 해류를 무기로 삼다
한반도 연안의 조류·풍향 특성과 이순신의 함선 배치·침로 선택이 어떻게 연결되는지를 한산도 해전을 중심으로 보여주는 설명.
18 min 9 scenes
명량해협: 12척이 133척을 이긴 이유
명량해협 전투의 승리는 병력 수가 아니라, 함대를 몇 개의 작은 부대로 나누어 해류와 함께 움직이게 한 '유격전' 전술 덕분이었다는 점을 이해하게 됩니다.
16 min 8 scenes