Category Archives: Math

Q: Why are scientists looking for life in space by looking for water? How can they be sure that all life uses water?

The original question was:  I’m reading more and more lately about the findings of the Kepler satellite and that some scientists are estimating that roughly 5% of newly discovered planets in our galaxy may have mass similar to Earth, which … Continue reading

Posted in -- By the Physicist, Astronomy, Biology, Logic | 7 Comments

Q: How accurately do we need to know π? Is there a reason to know it out to billions of digits?

Physicist: For essentially every imaginable purpose, knowing that π ≈ 3.14159 is more than good enough.  After all, every additional digit you have yields ten times the accuracy.  So if you know π out to twenty digits, that’s not 20 … Continue reading

Posted in -- By the Physicist, Math | 12 Comments

Q: Does opening a refrigerator cool down the room?

Physicist: Briefly yes, or no, not at all.  If you think of the room as including the inside of the refrigerator, then opening the door does nothing.  Otherwise, it does almost nothing.  But ultimately, if you leave the door open … Continue reading

Posted in -- By the Physicist, Engineering, Entropy/Information, Physics | 32 Comments

Q: What is the probability of an outcome after it’s already happened?

Physicist: There are a lot of subtleties to this.  Reading the question, your gut reaction should be “Duh, it’s 100%!  Wait, is this really a question?”. And yet, there are many times in which you may find yourself estimating probabilities … Continue reading

Posted in -- By the Physicist, Philosophical, Probability, Quantum Theory | 11 Comments

Q: How do you answer a question scientifically?

Mathematician: Suppose you’re interested in answering a simple question: how effective is aspirin at relieving headaches? If you want to have conviction in the answer, you’ll need to think surprisingly carefully about how you approach this question. A first idea … Continue reading

Posted in -- By the Mathematician, Math, Philosophical, Probability | 4 Comments

Q: What is a Fourier transform? What is it used for?

Physicist: Almost every imaginable signal can be broken down into a combination of simple waves.  This fact is the central philosophy behind Fourier transforms (Fourier was very French, so his name is pronounced a little wonky: “4 E yay”). Fourier … Continue reading

Posted in -- By the Physicist, Equations, Math | 40 Comments