1 Timothy 5 - Worse than unbelievers

How does responsible financial planning fit with "building treasure in heaven"?

A tension seems to exist between being a good and responsible steward of our resources (money, time) and being wholeheartedly generous and self-sacrificing. We launch from an interesting passage in 1 Timothy 5 that describes our first responsibility as being to care for family - in fact "those who won’t care for their relatives, especially those in their own household, have denied the true faith". A number of lived examples highlight the sort of conundrums that are inescapable.