In this paper I will be discussing Bentham’s Principle of Utility and Hedonic Calculus and using these two concepts to decide whether or not animals should be allowed to be used for entertainment. I will then explain an advantage and a disadvantage to his hedonic calculus. The validity of hedonic calculus for me doesn 't seem to be an overall method to tell what is right from wrong because it does not factor in the morality of the situation. However, it is a great place to start. First I will go…

merit. Whether one came up with the concepts of calculus are insignificant since the outcome was that future generations benefited. However, the logic of their clash does bear merit. In proposing that he was the first inventor, Leibniz states that "it is most useful that the true origins of memorable inventions be known, especially of those that were conceive not by accident but by an effort of meditation. The use of this is not merely that history may give everyone his due and others be spurred…

In this essay, I will explain whether act or rule utilitarianism is superior and why. I will begin by defining important terms like utilitarianism, the principle of utility, and hedonic calculus. Then I will move on to defining act utilitarianism and its strengths and weaknesses. I will then do the same with rule utilitarianism. I will argue that rule is superior to act, in the sense that it is more relevant to society as a whole, and it has more benefits for society. Rule utilitarianism is superior…

parking lot of my school, I quickly reviewed my math notes in preparation for the Pre-Calculus test. The importance of this final test was the make-it-or-break-it point of maintaining my A in the class. My eyes rapidly moved over the study guide in hopes to remember each trigonometry identity required. However, time was running out, and I had to retrieve my things from my locker for my first hour, Pre-Calculus. I rushed to my locker, unpacked my things, and made my way to first hour. The atmosphere…

important figure in the history of philosophy and mathematics. Although his work was not fully appreciated during his day, he did much to advance the "thinking" on a variety of subjects. His fame was scarred by the infamous controversy with Isaac Newton on the subject of the discoverer of calculus. Leibniz's work encompassed a wide scope, ranging from philosopy to politics to mechanics and mathematics, but his most noteworthy accomplishment was the discovery of differential calculus and its highly efficient…

Derivative is a complex subject of calculus. In calculus, derivative is a key term developed by both Newton and Leibniz. With function f (t), the first derivative is defined asf^ ' (t)= df/dt= lim┬(h→0)⁡〖(f(t)-f(t-h))/h〗. There is also a second derivative known as second-order derivative. The second-order derivative is defined: f^ ' ' (t)= (d^2 f)/(dt^2 )= lim┬(h→0)⁡〖(f^ ' (t)-f^ ' (t-h))/h〗 =lim┬(h→0)⁡〖1/h {(f(t)-f(t-h))/h- (f(t-h)-f(t-2h))/h}〗 =lim┬(h→0)⁡〖(f(t)-2f(t-h)+f(t-2h))/h^2 〗 (Podlubny…

Calculus "One of the greatest contributions to modern mathematics, science, and engineering was the invention of calculus near the end of the 17th century," says The New Book of Popular Science. Without the invention of calculus, many technological accomplishments, such as the landing on the moon, would have been difficult. The word "calculus" originated from the Latin word meaning pebble. This is probably because people many years ago used pebbles to count and do arithmetic problems…

mathematician and astronomer of ancient times, particularly 408 – 355 BC. He lived in Greece and studied under Plato, one of the most notable philosophers ever. In Calculus, Eudoxus is known for advancing Antiphon’s ideas on the method of exhaustion. The method of exhaustion is very important to calculus because one of the fundamental themes of calculus is sending variables (or whatever it happens to be) to infinity, which is a branch of the method of exhaustion. This is known as taking the limit. Eudoxus…

Differential calculus is a subfield of Calculus that focuses on derivates, which are used to describe rates of change that are not constants. The term ‘differential’ comes from the process known as differentiation, which is the process of finding the derivative of a curve. Differential calculus is a major topic covered in calculus. According to Interactive Mathematics, “We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material…

idea of "preference" or "innate orientation" even indirectly questioned. In For Her Own Good 150 Years of the Experts ' Advice to Women by Barbara Ehrenreich and Deirdre English, the authors ' superb pamphlets, Witches, Midwives and Nurses: A History of Women Healers, and Complaints and Disorders: The Sexual Politics of Sickness, are developed into a provocative and complex study Their thesis in this book is that the advice given American women by male health professionals, particularly in the…