Is "proving" different from "persuading"? does proving lead to knowledge while persuading leads to belief? how do we "prove" that something is true? are there some notions that we believe strongly, even though we can't prove them?

Proving is different from persuading; one focuses on fact and why/how it is, while the other is led by bias and emotion.

Proving doesn't necessarily lead to knowledge, most of the time "proving" something is how facts are utilized when coming to a conclusion.

Persuading can lead to belief, though the act of persuasion is mostly seen in commercials, or any act of selling-

We prove things, by utilizing known facts related to the problem/questions

There are strong notions that we believe strongly in and cannot prove, it can be called Bias. An example of this can be but is not limited to: "Guns should be taken away from gun owners because guns 'kill'."

the author is showing that it is the insatisfaction of basic needs that brings about the protests such as the strikes.if workers do not earn enough to buy food and feed their families and themselves in order to continue working, what is the use of working? besides, another message from the author is that of the owners of factories should be worried about ensuring their furure by having a second and third generation of workers in their industries.if they do not hear the workers demands, they will not have any more workers to make their pockets full.