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Example research essay topic: Anti Social Behavior Formal System Of Arithmetic Good - 684 words

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Virtue Ethics by Aristotle can be truly considered as a true family of views. The virtue theory itself deals with the ideals supported by the ethical theorists of the ancient Greece who where ethical egoists. The main idea was that one should try to do the right things because it lies in his own interest. It has several reasons. First, they believed in afterlife and thought that there a person should have much better life than on the earth.

Second, they believed that being good is good, meaning that it is intrinsically valuable. Finally, being good does not mean just do good. Being good, rather, implies having a well-ordered soul. Well ordered soul, in its turn, is guided by reason (which decides what good is really good) in conjunction with spirit, which together dominate the bodily appetites. Goodness is of a high value in this context. Aristotle's idea is based on the same grounds that were described above.

However, he rejects the idea of Goodness as such. He believes that some things are just for human, some are just for animals. Human must be human. What must differentiate human from animal is reason.

Human must be guided by the rational part of his self. According to Aristotle, human is a natural born social being. Thus, any anti-social behavior must be avoided. Irrational and anti-social behavior is unwise (it will lead to dissatisfaction) but it is also unnatural and therefore "wrong." Because reason is the only distinct human function that separates us from animals, any highest good or happiness must involve reason. The function of harpist is to play the harp and to play it well, and the function of heart is to pump blood and to pump it well. So also our function is to use reason and to use it well.

As we do this, we strive to the natural end to which we are destined to go. Our happiness consists in the excellent use of reason virtue. Incompleteness Problem The Incompleteness Theorem is a consequence of logical proofs that produced a revolution in mathematics and in the modern school of thought. It was first published by Kurt Gdel (1906 - 1978) in 1931.

Gdels Incompleteness Theorem is considered to be one of the most fundamental things in reality. The theorem is a proof of the existence of formally irresolvable propositions in any formal system of arithmetic. More specifically, his first incompleteness theorem states that in any formal system S of arithmetic, there will be a sentence P of the language of S such that if S is consistent, neither P nor its contradiction can be proved in S. This makes it likely to show that there must be a sentence P of S which can be interpreted (generally) as saying 'I am not provable'. It is depicted that if S is consistent, this sentence is impossible to prove, and therefore, it is sometimes argued, P must be true. It is this last step which had led people to assert that Godel's theorem demonstrates the advantage of men over machines - men can prove propositions which no machine (programmed with the axioms and rules of a formal system) can prove.

Fact that the first incompleteness proof can be formalized in S makes it possible to obtain Godel's second incompleteness theorem as consequent. The theorem states that the consistency of a formal system of arithmetic cannot be proved by means formalizable within that system. This result was detrimental to the prospects of completing Hilbert's program for the fundamentals of mathematics, for Hilbert hoped to justify the use, in calculus for instance, of the notion of perpetuity by showing that a formal system prevailing its use could be shown to be consistent using only finitistic methods. This would have confirmed that the notion could be assumed merely as a calculating device whose use was legitimate, in that it would never lead one off course, and justified in terms of economy of labor. But the finitistic methods predicted are formalizable with a formal system of arithmetic and were therefore shown to be insufficient to Hilbert's task.


Free research essays on topics related to: formal, arithmetic, virtue, anti social behavior, theorem

Research essay sample on Anti Social Behavior Formal System Of Arithmetic Good

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