1. You cannot legislate the poor into prosperity by legislating the wealthy out of prosperity.
Taxation, tax poor less, tax wealthy more, tax luxury items even more (yachts, jewelry, private jets, mansions), tax basic needs less, make education and medical services free and high quality. Remove private education and private medical services.
2. What one person receives without working for, another person must work for without receiving.
Increase minimum wage beyond a sufficient life expectancy. Increase wage of employees in public services. Set minimum life standards to be met by service providers ( home owners, household item producers)
3. The government cannot give to anybody anything that the government does not first take from somebody else.
Taxes, the wealthy should be taxed more, the companies should be taxed more and properly.
In addition;
Ban luxury cars with high emissions in city centers, or tax more if they prefer such and fund public transport, subsidy it for public good, improve quality of it.
4. You cannot multiply wealth by dividing it!
Again taxes, and you can multiply wealthy by taking portions of it and re-purposing for low income people.
5. When half of the people get the idea that they do not have to work because the other half is going to take care of them, and when the other half gets the idea that it does no good to work because somebody else is going to get what they work for, that is the beginning of the end of any nation.
True. But from this perspective the minimum wage should be removed either.
The experiment is actually not accurate to question socialism, because students' maximum grade is limited with 100, and minimum with 0 however it is not such in capitalism; replace those with minus points and excessive points to some questions, increase point of questions which is answered less (demand/supply), give privileges to the students with excessive points (front rows, more items /tools /books). This is how capitalism or free economy works; money attracts money, poor remains poor. A hard worker well educated scientist or engineer can barely skip to middle-up class.
Socialism/Communism tends to be corrupted, in the experiment let some of students be part of a group which evaluates the exam results and tell them they can distribute 1000 points at most and see whether it would be equal or unfair. Or in the other way around while testing capitalism randomly give out 1000 points to some students and let those hire some other students to complete their own exams.
Education is the key, educate a community well,so that chosen administrators become aware that they are not beyond the public but they are meant to be servants, they are not the minority which meant to govern the public but minority which was chosen to serve. What is wrong with the current system in majority of the countries that governors believe they are privileged a few.