Tag Archives: size

BBC Business Daily – interview with Arthur Laffer

In other news, Art Laffer has become a parody of himself. Deliberately misrepresenting the flat tax. Making it sound like 12% is a tax cut for most Americans, when in fact the effective tax rate for everyone making under $100k … Continue reading

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[I]n the late 1920’s and early 1930’s…. There were lots of deep thoughts [in economics], but a lack of quantitative results. … It is usually not of very great practical or even scientific interest to know whether the [causal] influence … Continue reading

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[G]eometry and number[s]…are unified by the concept of a coordinate system, which allows one to convert geometric objects to numeric ones or vice versa. … [O]ne can view the length ❘AB❘ of a line segment AB not as a number … Continue reading

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Measure: Sizing up the Continuum

For those not in the know, here’s what mathematicians mean by the word “measurable”: The problem of measure is to assign a size ≥ 0 to a subset of ℝ. In other words, to answer the question: How big is that? Like, how big … Continue reading

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Angle = Volume

This is trippy, and profound. The determinant — which tells you the change in size after a matrix transformation 𝓜 — is just an Instance of the Alternating Multilinear Map. (Alternating meaning it goes + − + − + − + … Continue reading

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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

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Unmeasurable Distances

I wrote earlier about the many different ways to measure distance. One way I didn’t include is unmeasurable distance. Sometimes A is tastier, sexier, cooler, more interesting, or otherwise better endowed than B … but it’s impossible to quantify by … Continue reading

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