Category Archives: math

Three levels of mathematical reasoning

Well, I said I was going to take a one-week break from the internet, but I’m drinking now and that implies blogging, which is a contradiction. QED There are three levels of mathematical reasoning. The first is purely concerned with … Continue reading

Posted in genius, math, philosophy, psychology | 16 Comments


Very few people share your signature themes (in fact, there are over thirty-three million possible combinations of the top five, so the chances of your [sic] meeting your perfect match are infinitesimal). Now! Discover Your Strengths Time to put that … Continue reading

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Picking losers

I like this idea, especially because it can be generalized to all the risk-based decisions we make in everyday life. It also draws on our critical functions, rather than the same optimistic functions that we use to post facto rationalize … Continue reading

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Logical vs. intuitive or (expressibility)

That’s one way of distinguishing between the logical or (and/or) and xor (either or/er), because xor is much more intuitive to those of us who have to make value judgments on a regular basis. “Do I want X or Y?” … Continue reading

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I know somebody figured it out before me, but it still feels like one of my own creations because I figured it out myself. Remember that neat little proof.? Well, there’s a neat little corollary that I’ve been meaning to … Continue reading

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Probability is a matter of perspective

One of my favorite hobbies is predicting outcomes, and my dirty little secret is that I like to be as ignorant as possible when I’m doing it (assuming it’s not influencing an important decision). When I rely more on deduction … Continue reading

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Standard assumptions

The title won’t make sense at first. During lunch, I was mulling over the concept of calories. Calorie intake alone doesn’t provide you with an accurate picture of your health. It’s an objective measure, but it’s not very useful. What … Continue reading

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More masochism

Gonna get back on the Linux bandwagon. X-P I had the idea because I’ve been spending a lot of time with the Sage math software. I think all the stuff I actually use this computer for would actually be a … Continue reading

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n choose k

This draft is a month old and I don’t remember where I was going with it. Good thing I have low standards. I’ve been working my way through a discrete math course that I found at my library on DVD. … Continue reading

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A neat little proof (and a mnemonic)

A geometric series has the form S = a + ar + ar^2 + ar^3…+ ar^n. Here are some examples: 1 + 2 + 4 + 8…1 + 1/2 + 1/4 + 1/8…e + e^2 + e^3 + e^4… It’s … Continue reading

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