Philosophy

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"In their time, Bentham's ideas promoted progress, reform, wider democracy, and the amelioration of undesirable social conditions. Bentham lived... when common people, the "labouring poor," had little voice and no vote... Their toil and sacrifices enhanced the power of the nation, the glory of its rulers, the wealth of industrialists and merchants, and the indolent ease of the aristocrats. Yet here was a philosopher who said that people are people regardless of their social position. ...[L]egislators ought actively to augment the total happiness of the community. Instead of the people serving the state, the state should serve the people. ...[H]is slogan for government was "Be quiet." But he did not worship laissez-faire as a principle to be accepted blindly. ...[T]he state should monopolize the issue of paper money, thereby saving interest on its borrowing. It should... operate life and annuity insurance, and tax inheritance, monopolies, [etc.] ...Bentham's idea of diminishing marginal utility of money suggested an argument for the redistribution of income. ...[M]ore happiness will be gained by the poor... than will be lost by the wealthy... Bentham's devotion to the greatest good for the greatest number led him to... advocate for.. democratic reforms. He supported universal (male) suffrage, equal electoral districts, annual parliaments, and the secret ballot. He opposed the monarchy and the , arguing that only in a democracy do the interest of the gonernors and the governed become identical. ...Bentham urged a system of national education, even for pauper children. Frugality Banks... should... stimulate saving by the poor. should provide jobs for unemployed workers during slack times. ...He designed ...a model prison that would reform criminals rather than punish them. No wonder Bentham and his circle of intellects (including James Mill, John Stuart Mill, and Ricardo) were called "philosophic radicals.""

- Utilitarianism

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"Mathematics and logic, historically speaking, have been entirely distinct studies. Mathematics has been connected with science, logic with Greek. But both have developed in modern times: logic has become more mathematical and mathematics has become more logical. The consequence is that it has now become wholly impossible to draw a line between the two; in fact, the two are one. They differ as boy and man: logic is the youth of mathematics and mathematics is the manhood of logic. This view is resented by logicians who, having spent their time in the study of classical texts, are incapable of following a piece of symbolic reasoning, and by mathematicians who have learnt a technique without troubling to inquire into its meaning or justification. Both types are now fortunately growing rarer. So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premises which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary."

- Logic

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