Category Archives: Math

Q: If you could see through the Earth, how big would Australia look from the other side?

The original question was: Relative to the size my feet appear when I’m standing up and looking at the ground, how large would Australia appear if I could see all the way through the Earth and observe its shape?  Also, … Continue reading

Posted in -- By the Physicist, Brain Teaser, Geometry | 2 Comments

Q: How is it that Bell’s Theorem proves that there are no “hidden variables” in quantum mechanics? How do we know that God really does play dice with the universe?

Physicist: Bell’s theorem, and its philosophical fallout, is one of the most profound discoveries since relativity. Bell’s theorem states (among other things) that the universe is fundamentally unpredictable, and that quantum mechanical things (for example: everything) are not actually in … Continue reading

Posted in -- By the Physicist, Philosophical, Physics, Probability, Quantum Theory | 25 Comments

Q: Can math and science make you better at gambling?

Physicist: Yes. Don’t gamble (mathematically speaking). Mathematician: Gambling (at casinos, in lotteries, and in most other instances) is expected value negative, even when you play optimally. That means that the average amount of money you will make per play is … Continue reading

Posted in -- By the Mathematician, -- By the Physicist, Probability | 10 Comments

Q: What do complex numbers really mean or represent?

Physicist: Nothing really. Complex numbers are very useful for streamlining a lot of different types of math, generalizing ideas, and “closing” the real numbers.  In quantum theory you’ll find that on the most fundamental level the universe seems to prefer … Continue reading

Posted in -- By the Mathematician, -- By the Physicist, Math, Philosophical | 14 Comments

Q: What would happen if an unstoppable force met with an unmovable, impenetrable object?

Mathematician: Sometimes, when we don’t use language carefully enough, we can get ourselves into philosophical trouble. For example, consider the following statement: If a barber shaves all those men (and only those men) who do not shave themselves, does he … Continue reading

Posted in -- By the Mathematician, Brain Teaser, Philosophical | 32 Comments

Q: How do I count the number of ways of picking/choosing/taking k items from a list/group/set of n items when order does/doesn’t matter?

Mathematician: Suppose that we have a list containing three items, {A,B,C}, and we want to know how many different ways there are of choosing two items from this list. If we care about the order that items are selected from … Continue reading

Posted in -- By the Mathematician, Combinatorics, Math | 11 Comments