Tax for equality that promotes our well-being
The obvious implication of taxing for equality is that it will lead to redistribution of wealth, a redistribution that is needed and wanted. It is needed because inequality is correlated with social ills, decreasing well-being and worsening of our environmental destruction. It is wanted because we have a sense of what is fair.
What is fair is often culturally dependent and open for discussion. Briefly it can be said that the arguments defending the extreme income differences, that the fortunates' paycheck would be just deserts for hard labour and taking great responsibility, are highly questionable.
One could argue that being borne at a certain time, at a certain place, by certain parents given the money or the brain is just pure luck, that it is hard to imagine the Bill Gates would have become Bill Gates growing up in Chiapas tending the milpas without the support of all the infrastructure of a society with functioning education, health and judiciary system, that the figure shown on a CEO's paycheck bears little relevance on the companies performance and that debating responsibility it is hard to see how many of the environmental and human tearing activities of the big companies they represent could be defined as taking responsibility.
Adding to the arguments for taxing for equality is the fluke of having deserts being presented in front your face only because of the systemic trap of "Success to the successful" or because of things out of your control like the increase in the value of land due to population growth.