And you certainly don't want to put your betta in the smallest bowl it can survive it, do you? Bettas can survive as long as they are moist. They breath out ot the air, thanks to their labyrinth, and not out of water like nonlabyrinth fish. So, while they can survive in tiny jars, you must remember that water changes skyrocket and their personalities plumet. A 32. oz (1 qrt) jar has to be changed every 2-3 days! A one gallon has to be changed once a week, and a 1/2 gallon 2 times a week. So you are spending all this time cleaning your bettas small bowl to make it happy, when you could have just bought a 2 gallon tank w/filter and spared you both the trouble of having a small bowl.
If you were just wondering this question for the sake of curiosity, this may seem rude, but if you are thinking about putting a betta in a tiny jar, than maybe you learned something. Sorry if this is harsh, and if your intentions are not to put a betta in the minimum amount of water.
Alexa