There are some economic/social theories that suggest homelessness is an adequate and necessary deterrent to poverty.

However, I'm not going to address a flaw in your logic, namely that the only role of taxation is deterring undesirable behavior.

>There are some economic/social theories that suggest homelessness is an adequate and necessary deterrent to poverty.

Is the implication here that if homeless didn't exist, it would actually be ok to tax/punish poverty? Otherwise why even bring that up?

Progressive taxation? That's a good joke.

In what countries that have 'progressive taxation' do the rich actually pay a higher percentage of tax on all sources of income / wealth?

> Do you intend to discourage people from becoming rich by taxing it?

That's not the intention, but perhaps a side-effect. A minor one, at that. I'd imagine it would be very difficult to discourage people from becoming rich. A progressive tax schedule certainly does not do much discouraging right now.

Now that I answered your question, perhaps you can return the courtesy:

Does there or does there not exist a high enough degree of income inequality such that there is a cost borne by society?