I am going to agree that Catholicism is a denomination of Christianity. All Catholics are Christians, but not all Christians are Catholic. Despite the fact that Catholic means 'universal', the Roman Catholic Church is not even the Universal Church of all Catholics, hence the word Roman (as opposed to Syrian, Orthodox, Coptic and other types of Catholics or groups more Catholic than Protestant.
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This "do not let your right hand know what your left hand is doing" is just plain weird.
Neither hand knows diddly, only your head knows, and it knows what both hands are doing or you are seriously ill or impaired.
According to Jesus, You should give all you own to the poor and follow Jesus, but when you give it to them, you should somehow give it to them in secret, without making a big deal about it. I don't know about you, but of someone hands me something in a low voice and says "here, take this", I am gonna think it is stolen, and never legally belonged to the donor in the first place. I probably would not take it. I know I did turn down a chance to buy a nice set of tools for $5 from some crackhead who obviously jacked them from the Auto Parts Store on the corner. I doubt that he gave them back.
--Excuse me, sir, I can't help noticing that you are poor. Come here my good fellow
--Yeah?
--Here, take my worldly possessions. I won;t be needing them, because I am going to follow Jesus.
--OH THANK YOU! THANK YOU KIND SIR!!! GOD BLESS YOU!
---Shhhh! Keep it down! You will let my right hand know what my left hand is doing! I have to give you all this stuff in secret. Here, take my bed and mattress. Take my dinette set. Take my candleholders and fancy clothes and my extra pair of sandals.
---THANK YOU! GOD BLESS>>>
---Shhhh! Be quiet I tell you!
Apparently, although we must assume that Jesus fave disciple, Peter, gave all he owned to, well, someone, we do know that he owned a boat at one time, and there is no mention of who got Peter's boat, or if he even gave it to the poor. I find much of the NT rather, well, fishy, about stuff like this.