I'm losing my favourite game

[venta]

Return of an old rant:

I just called the Swan to book my car in for some work on Saturday. During my fifteen second conversation with the receptionist, she said "just bear with me a second" three times.

That's a whopping 12 bwm/minute, on average.

Comments

Re: I see I'm not the only person who likes silly ratios.

[onebyone.livejournal.com]

More generally, it's not so hard to show that in a field 0 can't have a multiplicative inverse, and as such writing x/0 (which is just a shorthand for "x times the multiplicative inverse of 0") is meaningless.

Let Z be a multiplicative inverse for 0. Then 0*Z = 1. But 0*Z = 0 by, like, the first theorem we ever proved about fields, which is that 0*anything is 0.

You've only showed that in a field x/0 can't be constant for all x. This shows that furthermore, x/0 isn't defined for any x.

Re: I see I'm not the only person who likes silly ratios.

[ewx.livejournal.com]

All the world is not a field...

Re: I see I'm not the only person who likes silly ratios.

[onebyone.livejournal.com]

Aliter: I remember when all this were commutative rings.