>> You can claim that at least some of these are physically grounded in reality as using 1/3 a cup of flour or buying 1/2 a watermelon is certainly something on

>> You can claim that at least some of these are physically grounded in reality as using 1/3 a cup of flour or buying 1/2 a watermelon is certainly something one can very clearly and explicitly do. To be fair, in practice you can't ever use exactly 1/3 cup of flour or buy exactly 1/2 a watermelon. So even with the fractionals we've started to wriggle away from physical reality in our effort to model it more precisely.