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Tag Archives: posets
the Begats
The word < is normally defined to mean less than in some quantifiable sense. For example, considering the set {3,6,1441}, one could say that 3<6<1441. But in the abstract language of partially ordered sets, < is reinterpreted many ways — … Continue reading
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Tagged begat, Bible, Genesis, Noah, posets, religion, the begats, the Bible, transitive, transitivity, wellfoundation axiom, wellfounded sets
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What’s Wrong with OKCupid’s Matching Algorithm
OKCupid is using the wrong mathematics to match potential dates together. But before I critique them, let me compliment them on what they’re doing right: “Our” mutual score is the geometric average of your score of me, and my score … Continue reading
Posted in Uncategorized
Tagged analytics, approval voting, assessment, computers, crowdsourcing, dating, dating websites, functionals, grade, grading, human mathematics, humans, internet, internet dating, love, mathematical modelling, mathematics, OKCupid, online dating, order theory, ordering, partially ordered set, political economy, poset, posets, rank, ranking, relationships, romance, score
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Paul Finsler believed that sets could be viewed as generalised numbers. Generalised numbers, like numbers, have finitely many predecessors. Numbers having the same predecessors are identical. We can obtain a directed graph for each generalised number by taking the generalised … Continue reading
Ethnic Food as a Poset
I like Indonesian food better than Japanese food i ⪰ j, and I like Japanese food better than English food j ⪰ e. I also like French food better than English food f ⪰ e, but I see French food as so different … Continue reading
Popularity
At my secondary school, the highscoring wide receiver was more popular than the fat lineman. And the fat lineman was more popular than the team statistician. But you couldn’t really compare the wide receiver’s popularity to that of the actor … Continue reading
Blood Types
Blood types form a topological space (and a complete distributive lattice). There are three generators: A, B, and Rh+. Above the “zero element” is the universal donor O− and the “unit element” is the universal receiver AB+. A topological space contains … Continue reading
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Tagged 1, anatomy, blood type, lattice, mathematics, medicine, order, partial ordering, partially ordered set, partially ordered sets, poset, posets, power set, set, topological space, topology
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The Hotness Scale
One example of a total ordering ≤ is the “hotness” scale from 1–10. Because of the widespread disagreement about the meaning of the numbers, the only thing one can infer based on a man’s rating of a woman is that … Continue reading
Posted in Uncategorized
Tagged attraction, boys, comparable, distance, geometry, girls, hotness, LGBTQ, liking, math, mathematics, maths, measures, metric, metric spaces, metrics, norm, norms, partially ordered set, partially ordered sets, poset, posets, quantification, sex, sex appeal, sexiness, size
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CostBenefit Analysis
When faced with a choice, costbenefit analysis asks: What are the possible outcomes? Who benefits and who is harmed in each of these outcomes? How much is the benefit or harm in each case?(Sometimes the harm might be multidimensional — … Continue reading
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Tagged 4D, consequentialism, costbenefit analysis, econometrics, economics, education, jurisprudence, math, posets, preferences, probability, rationality, reasoning, risk, utilitarianism
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