It's true that there are just as many odd numbers as even (using most reasonable ways of counting; things always get a bit dicey with infinite sets), and just as many multiples of 7 as "3 more than a multiple of 7" and…
Evenness is a more natural condition, so to speak, in that it has a simple definition and is easy to generalize. Having defined an even number, if an integer isn't even, it's odd. To get a feel for why this is…
Or: 1) Wearing shorts and sandals all year round is a losing game (in this part of the world); you will freeze to death in the winter. 2) Wearing your warmest clothing all year round is a losing game; you will overheat…
Indeed, in many languages, even unrelated ones like Finnish, Greek, and Vietnamese, the word for moth is "night butterfly".
No, this would be a good exercise for first-year calculus. It's a very reasonable question, nothing out of the ordinary.
It's true that there are just as many odd numbers as even (using most reasonable ways of counting; things always get a bit dicey with infinite sets), and just as many multiples of 7 as "3 more than a multiple of 7" and…
Evenness is a more natural condition, so to speak, in that it has a simple definition and is easy to generalize. Having defined an even number, if an integer isn't even, it's odd. To get a feel for why this is…
Or: 1) Wearing shorts and sandals all year round is a losing game (in this part of the world); you will freeze to death in the winter. 2) Wearing your warmest clothing all year round is a losing game; you will overheat…
Indeed, in many languages, even unrelated ones like Finnish, Greek, and Vietnamese, the word for moth is "night butterfly".
No, this would be a good exercise for first-year calculus. It's a very reasonable question, nothing out of the ordinary.