Why Democracy Is Mathematically Impossible
The video explores how different voting systems work and their problems. First-past-the-post voting, where the candidate with the most votes wins, can lead to minority rule and the "spoiler effect," where similar parties take votes from each other. Ranked-choice voting, or instant runoff, allows voters to rank candidates, but it can sometimes lead to an outcome where a candidate doing worse helps them win. Mathematician Kenneth Arrow proved that no ranked voting system with three or more candidates can perfectly meet five fair conditions, which is called Arrow's Impossibility Theorem. However, there's a more hopeful idea called the median voter theorem, which suggests that if voters' views are on a spectrum, the middle voter's choice often reflects the majority. Another option is "rated voting systems" like approval voting, where people simply approve of candidates they like, which can increase voter turnout and prevent the spoiler effect. While democracy isn't perfect, it's still considered the best system we have, and continuous improvement is important.
Key Vocabulary
The current holder of a political office, or someone who is currently in a position of authority.
Examples:
- The incumbent senator is facing a strong challenge from a new candidate.
- The company's incumbent CEO announced her retirement after a decade at the helm.
- It is the incumbent's responsibility to ensure the smooth transition of power.
Changes in the order or arrangement of things, often implying a reordering or restructuring.
Examples:
- The furniture rearrangements made the living room feel much more spacious.
- The team underwent several personnel rearrangements before finding the right balance.
- Minor rearrangements to the schedule allowed for an extra break.
In a way that is extremely unreasonable, absurd, or excessive, often to the point of being laughable.
Examples:
- The price of the vintage car was ridiculously high.
- He laughed ridiculously at the comedian's silly joke.
- The task was ridiculously easy, almost insulting.
A casual, informal contraction of "want to."
Examples:
- Do you wanna grab some coffee later?
- I don't wanna miss the start of the movie.
- She said she didn't wanna go to the party alone.
Curious or eager to learn; given to inquiry or research.
Examples:
- The inquisitive child asked many questions about how the machine worked.
- Her inquisitive nature led her to explore various fields of study.
- He had an inquisitive look in his eyes as he examined the ancient artifact.
Found again after being lost, forgotten, or unknown for a period of time.
Examples:
- The artist's early works were rediscovered in an old attic.
- After years of neglect, the ancient ruins were rediscovered by archaeologists.
- She rediscovered her passion for painting after retirement.
To act in opposition to something in order to reduce its effect or neutralize it.
Examples:
- The new policy aims to counteract the negative impact of inflation.
- Drinking water can help counteract the effects of dehydration.
- He took medication to counteract the side effects of the treatment.
Emits a long, high-pitched, mournful sound, often indicating distress, complaint, or a mechanical noise.
Examples:
- The dog whines when it wants to go for a walk.
- He often whines about having too much homework.
- The old engine whines loudly as it starts up.
In a thorough, precise, and demanding way, often implying strict adherence to rules or standards.
Examples:
- The scientific experiment was conducted rigorously to ensure accurate results.
- The new employees were rigorously trained before starting their jobs.
- The security protocols are rigorously enforced at the facility.
A concentrated beam of light, or, metaphorically, a focus of public attention or scrutiny.
Examples:
- The singer stepped into the spotlight as the music began.
- The recent scandal put the company in the spotlight.
- Her groundbreaking research brought her into the academic spotlight.
In a way that relates to or is based on a system of ideas and ideals, especially one that forms the basis of economic or political theory and policy.
Examples:
- The two political parties are ideologically opposed on many issues.
- The debate was largely ideologically driven, with little room for compromise.
- She made decisions ideologically, adhering strictly to her principles.
To immerse something briefly in a liquid, or, informally, to criticize or defeat someone forcefully and decisively.
Examples:
- He likes to dunk his cookies in milk before eating them.
- The comedian tried to dunk on his political opponents during the monologue.
- The basketball player performed an impressive dunk over two defenders.
Relating to order or position in a series, rather than quantity.
Examples:
- First, second, and third are examples of ordinal numbers.
- The survey asked for ordinal preferences, ranking options from most to least favorite.
- The data was presented in an ordinal scale, showing the relative order of responses.
Quiet, reflective, or restrained in tone or behavior; or, having a soft, muted quality (as of light or sound).
Examples:
- The mood in the room was subdued after the sad news.
- She spoke in a subdued voice, almost a whisper.
- The painting featured subdued colors, creating a peaceful scene.
Cruel and bitter criticism or personal attack.
Examples:
- The online comments were filled with vitriol and personal insults.
- He was shocked by the sheer vitriol directed at the public figure.
- Despite the vitriol, she remained calm and composed.
The number of people who attend or participate in an event, especially an election.
Examples:
- Voter turnout was exceptionally high in the recent election.
- The concert had a disappointing turnout due to the bad weather.
- They launched a campaign to increase turnout at the community meeting.
Hidden or unsuspected dangers or difficulties.
Examples:
- Learning a new language has its pitfalls, such as common grammatical errors.
- The guide warned them about the pitfalls of hiking in unknown terrain.
- Avoiding the pitfalls of starting a new business requires careful planning.
Of crucial importance in relation to the development or success of something else.
Examples:
- The invention of the printing press was a pivotal moment in history.
- His decision proved to be pivotal for the outcome of the project.
- The negotiations reached a pivotal stage where a compromise was essential.
Agreement by all people involved; complete agreement.
Examples:
- The committee reached unanimity on the proposal after a long discussion.
- Achieving unanimity among diverse groups can be challenging.
- The jury's unanimity was required for a conviction.
Having doubts or reservations; not easily convinced.
Examples:
- She remained skeptical of his claims until she saw proof.
- Many people are skeptical about the promises of quick fixes.
- The scientist was skeptical of the unverified experimental results.