formal inductive logic proof in Book III, Section 10 of Nicomachean Ethics to conclude, with varying levels of success, that humans who are excessively self-indulgent are no better than animals. Aristotle begins his discussion of moderation by creating his definitions, much like how a logician would define the parameters of their proof. Alluding to his previous definitions of excellence earlier in Book…
should have been in a full-time professional care situation,” Catherine disagrees by saying that “he didn’t belong in the nuthouse. He needed to be here. In his own house, near the University, near his students, near everything that made him happy”(Proof I.iv.55, 56-59). The word “nuthouse” indicates Catherine’s contempt and satirical attitude against professional institutions that keep people with mental illness isolated from the community. It is warm family care that counts for the recovery of…
We learn that Robert is a prestiged mathematician who was plagued with a rare mental illness. David Auburn hints at the idea that Catherine, Roberts’s daughter, was also gifted with the same mathematical skills as her father. In act 1, Robert and Catherine get into an argument over what are good days or bad days. Catherine seems to believe that the good days are those days when you just stay in bed all day and don’t leave, but Robert believes that those are days lost. Robert shows his concern…
namely those finite sets whose elements are also finite sets, the elements of which are also finite, and so on, is formally equivalent to arithmetic. So, the essence of set theory is the study of infinite sets, and therefore it can be defined as the mathematical theory of the actual—as opposed to potential—infinite.”…
Throughout time, mathematics has always had an influence on society and its ideals. However, the presence of mathematical application is especially present in Plato's The Republic, and especially its effect on mathematical education. Plato's ideas on mathematics education can give reason as to why math influences many other subjects and can encourage critical and abstract thinking in young students. This includes giving students the ability to think abstractly, apply math to all other subjects…
At about twenty centuries ago there was an amazing discovery about right angled triangles: “In a right angled triangle the square of the hypotenuse is equal to the sum of squares of the other two sides.” It is called Pythagoras Theorem and can be written in one short equation: a²+b²=c² where c is the longest side of triangle and a and b are the other two sides. Pythagoras was born in the island of Samos in 570 BC in Greek in the eastern Agean. He was the son of Mnesarchus and his mother's name…
terminology too soon without everyday references then students learn the terminology without the associated mathematical…
T David Auburn’s play Proof is a very important play in many respects. While it is essentially a human drama that deals with conflict, doubt, lack of trust, lack of self-belief, and how these things affect relationships, it also highlights some vital themes such as mathematics, genius and mental illness, in a way that no other play has done. Examining the primary theme of mathematics and mathematics as a metaphor for life, by sheer action of using the rarefied field of mathematics as a…
complex truths by. As Descartes had a background in mathematics and geometry, these tenets are proposed alike mathematical truths in that they are self-evidential. He calls these axioms ,”clear and distinct perceptions”. For the Cartesian epistemology and metaphysics to be plausible, these perceptions must be not only epistemologically privileged, but also universal and justifiable as mathematical truths are, in terms of semantics and self-evidentiality.…
include the information presented in an argument in a case, the connections between two elements argue given, and the use of mathematical event. Information presented in a case when using logos deals with experts’ opinions or logic. Experts’ opinion may provide evidence to the audience on how relevant they are although these experts’ opinion may be highly acknowledged as proof. For instance, in “Foreign Language Study”, by Nia Tuckson, she made clear evidence that most businesses need to speak…