GEOMETRY FUNDAMENTALS - UNIT 11 Essays (384 words) - Logic

GEOMETRY FUNDAMENTALS - UNIT 11 REVIEW GEOMETRY PROOFS ConclusionThe then clause in a conditional statement.ConditionalA statement formed from two statements by connecting them in the form if ______ , then ______ .ConjunctionA statement formed by combining two statements with the word and.ContrapositiveA statement formed by exchanging the hypothesis and conclusion and negating both of them.ConverseA statement formed by interchanging the hypothesis and the conclusion in a conditional statement.Deductive reasoningThe process of making a conclusion about a specific statement by supporting with general rules and principles.DisjunctionA statement formed by combining two statements with the word or.HypothesisThe if clause in a conditional statement.Indirect proofA proof of a theorem by indirect means.Inductive reasoningThe process of drawing a general conclusion based on specific examples.InverseA statement formed by negating both the hypothesis and the conclusion of a conditional statement.NegationIf p is a statement, the new statement, not p is called the negation of p.true-false statementA sentence that is either true or false but not both.Truth tableAn arrangement of truth values to determine when a statement is true or false.Two-column ProofA formal proof of a theorem composed of six standard parts. The normal method of an indirect proof is to follow the three steps outlined here.1 Assume the theorem you are proving is false.2 Reason from your assumed statement until you reach a contradiction of a known fact, theorem, or axiom. 3 Point out why the assumed statement must be incorrect and therefore the theorem must be true. The six parts of a two-column proof are listed in order: Statement: a full written statement of the theorem. Figure: a lettered figure drawn to illustrate the given conditions of the statement. Given: the given conditions of the statement expressed in terms of the letter and numerals used in the figure. To prove: the part of the statement that requires proof expressed in terms of the letters and numerals that are used in the figure. Plan of proof: a brief description of the plan you are going to use in the proof. Proof: the actual proof; a series of numbered statements in one column with a like-numbered column next to it for the reasons.

Your Choice essays

Your Choice essays It would be a perfect world if all women used birth control correctly and consistently, and every girl who became pregnant were ecstatic, as well as being capable both financially and emotionally to raise their child. However, until that day comes we need to keep abortion legal. In the United States, people are blessed to have many freedoms. Americans have freedom of expression, freedom of speech and many others liberties. Our society has the privilege to choose and decide many things for our benefit also. Women should have the right to decide whether or not she wants to have a baby. The government telling us what to do and not to do with our bodies only causes more problems. Laws against abortion would cause more death horror stories. Without the option of terminating an unwanted pregnancy, women would resort to drastic measures. We would see women getting backroom abortions which were dirty and done by incompetent people for money. They would use such options as coat hangers or knitting needles, overdose on drugs, or take poison. Many women would try to self-abort by inflicting pain on themselves: by throwing themselves down stairs, doing strenuous work or exercise, or deliberately overworking themselves to exhaustion. In the cases of rape and incest the very idea of being forced to have the child of the woman's abuser is repulsive. Could you imagine having a constant reminder of the abuse? It is also true that women whose own health is compromised during pregnancy are more likely to miscarry and to deliver babies who are sick. Their babies are also more likely to die soon after birth. Women whos pregnancies which are unwanted are often less likely to get prenatal care and are statistically more likely to use cigarettes, alcohol, and drugs during their pregnancy, and are more likely to give birth to low birth weight, sick babies, as well as not breast feed. Should a baby be forced to be brought up under ...

Exporting Local Saskatoon Berries from Canada to Australia Assignment

Exporting Local Saskatoon Berries from Canada to Australia - Assignment Example Marketing to this region can bring the company profits with high margins. The political scenario in the region is sound, with a growing economy and an established central legal system. The social environment in the region is very similarity that in Canada, making the target market much more understandable and easier to relate to. The business climate in for the Saskatoon berries is very strong and profitable right now as the berries are quite in demand due to their tastes, their use in dairy products, bakeries as well as ice creams as well as due to their antioxidant properties. The fruit has heritage links with China where a version of the fruit was originally grown, however it has been discovered in the central north Canada and has become a native original fruit to the region. It would be more profitable for the company to operate through Canada, as the cost of the logistics ad the transportation of the Saskatoon berries would be much more feasible for the company than if its was outsourcing to China or operating form there. The main risks that are present to the company for exporting to the region of Australia pertain to the risks associated with spoilt and bad harvest, which can affect the supply of the product to the region. Moreover the changes in the prices of the berries are also very volatile according to their demand and supply each season and the quality of the harvest produced. This can make operations very volatile with unpredictable revenues. Moreover the Australian dollar is valued at a lesser denomination than the Canadian dollar with considerable fluctuation. This can affect the revenues of the company with the volatile exchange rates applicable. Other risks that the company would be exposed to are conforming with and getting approval from the local Australian food control authorities. A case took place in 2004, when the Saskatoon berries were ordered off the shelves in the UK due to their bad quality of packaging which effected the quality of the berries. (Gillis, 2004) Consumer Profiles The consumers who will be the direct target market for the Saskatoon berries and would be buying the berries in Australia would include restaurants, organic food and fruit retailers as well as the housewives and catering service providers. The restaurants and the caterers would be buying the product to add the exotic flavor to their dishes while the housewives, and the general consumer will be buying the berries due to their intense and unique taste, their diverse usage in dairy products, baking and cereals as well as due to their properties of being high in fiber and a major source of antioxidants 5. Market Entry and Marketing Strategy SWOT The strengths of exporting Saskatoon berries to Australia include the increased business operations, the increase in the profit margin as well as the positioning and the placement of the company name and brand in the international market. The weaknesses pertain to incurring larger cists for logistics and the transportation the frozen berries to the region of Australia. The opportunities that exporting to Australia provides for the company include the increased market share of the company, and future prospects of operating in the Australian market with other wild berry based produce and

Genetic experiment Research Paper Example | Topics and Well Written Essays - 750 words

Genetic experiment - Research Paper Example Stem cell research is one of the most hotly debated issue that involved political, social, religious and moral concerns. Stem cell research is one of the most developed genetic experimentation with a wide range of possibilities in the field of biology. There are many possible things that these researches can achieve given if the researches are well grounded, well funded and supported by the society. However, question such as the ethical and moral credibility of the action has surfaced. Stem cell research involves the human embryonic cells. These embryonic cells come from new fertilized eggs that started to divide to form any type of cells in the body. Embryonic cells are the stepping stone to finding out new ways of treating health problems. Transplants have been made easier and effective with the advent of stem cell research. Various stem cell procedures that proved to be effective life saving treatments to various sicknesses such as leukemia, tumors, heart transplants and many more have been developed through the extensive researches of scientist (Basics). The cultured embryonic cells have attached ethical constraints. Embryonic cells are destroyed with the many researches being done by scientists. Subjecting these human embryos into laboratories for experimentation is like killing a human being that is possible to develop maturely. It is unsettling to consider that embryos even if they are still five days old are placed on dishes that will soon die due to failed experiments. On the other hand, scientists and researchers raise various questions related to stem cell research such as: Are human embryos equal with a full grown human? Do the embryos have rights? Does life start at fertilization? Is the destruction of one embryo justifiable when it can provide cure for countless patients? The embryonic cells can either live or die at the dish during experimentation. The government of various countries has been warily affected as funds directed for the research are questioned by their constituents due to the ethical issues attached with the issue. George Bush for example, has supported the stem cell research at the start of his presidential term. But later, he withdrew such funds due to the ethical claims related with the research. Further, President Obama continued the funding during his term showing his support for the advancement of the biotechnological breakthroughs. Political disputes and debates have erupted among different parties exposing their sides on the issue. Policy makers have drafted various laws regarding the research, but restrictions have barricaded the further progress of the researches (â€Å"Stem Cell†). Stem cell research is just one of the many genetic experimentation that evoke reactions from the public. The advent of such researches and other advancement in the field of biotechnological engineering has caused fear to many. One of the most stricken issues is the idea of cloning. As the stem cell research progres sed, other advancement are made possible. Researches has evolved and discovered every now and then. Medical News Today covers the world with breakthroughs, such as: New approach for growing intestinal stem cells Transforming human ES of IPS cells into functional ling epithelial cells New approach for corneal

Euthyphros Definition Of Piety

Euthyphros Definition Of Piety In Platos Euthyphro, the character Euthyphro attempts to define the pious as what all the gods love. In this essay, I will examine the basis on which Socrates rejects this definition. In order to do so, I will provide an outline of the dialogue for context. Furthermore, I will analyse what Socrates seems to require for a good definition. Finally, I will attempt to defend Euthyphros definition. Socrates rejects Euthyphros definition on the grounds that his reasoning is circular, but I will argue that by removing the implicit requirement that there needs to be a cause for what the gods love, Euthyphros definition stands up to Socrates argument while falling under his requirements for a good definition. In the Euthyphro, Socrates wants Euthyphro to instruct him on definition of the pious, as Euthyphro is considered an authority on all religious matters, and Socrates believes that by coming under his tutelage he can escape Meletus charges should he prosecute Socrates. Socrates and Euthyphro agree that there must be one exact standard or characteristic quality by which all pious things are pious and everything impious, in contrast to the pious, is impious. Socrates wants to know what this quality is. Euthyphro suggests that prosecuting those who commit injustices is pious, and not prosecuting them is impious, regardless of whom they may be. He references his prosecution of his own father for murder as an example. He notes that Zeus imprisoned his own father for wickedly devouring his own children. As Zeus is the best and most just of all the gods (6a), if he behaves rightly in imprisoning his father for injustice, Euthyphros actions must be pious for following this example. Socrates feels that this is not a good definition of piety. He points out prosecuting those who commit injustices is merely an example of a pious act, and not a definition of piety itself. Euthyphro concedes that there are many more pious deeds that do not consist of prosecuting offenders. Socrates then asks Euthyphro to tell him the the essential aspect, by which all holy acts are holy (6d). Euthyphro then proposes another definition: that piety is what is agreeable to the gods. Socrates proceeds to investigate whether or not this more general definition is accurate. First, he notes out that the gods themselves often quarrel, as is recounted in the myths that Euthyphro believes in so literally. Socrates points out that arguments do not persist over disputed facts, since agreements can be reached through calculation or investigation, but rather over questions of value, such as what is right and wrong, and noble and disgraceful, and good and bad (7d). Euthyphro agrees with this assessment. Socrates points out that if the gods quarrel over what is just and what is good, then there is clearly no agreement among them on such issues. After all, if they have different opinions on justice, it follows that they must approve of different things. Therefore there must be certain things that are loved by some gods and unloved by other gods. But according to Euthyphros definition, that would mean that those things are both pious and impious, since they are approved of by some gods and disapproved of by others. This is clearly contradictory to the earlier assertion that there is one standard for piety, and concordantly for impiety since the impious is that which is not pious. Euthyphro replies that surely the gods all agree that a person who kills someone unjustly should be punished. Socrates replies that the argument is not about whether or not an acknowledged wrongdoer should be punished, but about whether that person has in fact acted unjustly. Hence for Euthyphros argument to have any weight, he needs not to show that the gods agree that someone who murders unjustly should be punished, but that they agree that a particular murder is unjust in the first place. All of this gives us an idea as to what Socrates considers a good definition. He is not satisfied with answers that pertain to certain types of piety, or specific examples of piety. The answer must concern a quality that involves all forms of piety and to nothing that is not pious. In short, a good definition, for Socrates, requires both generality and exclusivity. Furthermore, it must have explanatory power. A statement of somethings non-essential attributes might be true, but would qualify as a definition because it does not explain what that thing is; it merely describes some of that things properties. Eurthyphros responds by changing his earlier definition; he proposes that the pious is what all the gods love, and impiety is what they all hate. Socrates responds by asking Euthyphro whether pious deeds are approved by the gods because they are pious or whether they are pious because they are approved by the gods. The point he wants to make here is that there is a difference between being something and getting something. There are three things that can be said about any action: (1) it is pious, (2) it gets approved by the gods, and (3) it is approved by the gods. The distinction between statements (2) and (3) is that (2) deals with the act of approval by the gods and (3) deals with the state of the action as being approved of by the gods. Causally, (3) must follow (2). The three claims Euthyphro makes are: (i) something gets approved by the gods because it is pious; (ii) something is approved of by the gods because it gets approved of by the gods (this claim is implicit); (iii) what is pious is what is approved of by the gods. The first claim (i) says that (2) is true if (1) is true, (ii) states that (3) is true if (2) is true, and (iii) states that (1) is equivalent to (3). But (i) and (ii) imply that if (1) is true then (3) is true, which is not the same as saying that (1) is the same as (3). Even if (1) and (3) refer to the same thing, they do not have the same meaning. Therefore Euthyphros cannot claim that the definition of piety is that which all the gods love without his reasoning being circular. While Socratess argument is indeed a powerful blow against Euthyphros definition, we shall try and see if it is at all possible to defend Euthyphros definition. One way do so is by going back to the question that Socrates poses to him about whether that which is pious is loved by the gods because it is pious or whether it is pious because it is loved by the gods. The question assumes that the gods need a reason to love something, which is not necessarily the case. If the approval of the gods does not require a cause, then piety can certainly be defined to be that which the gods love without causing any inconsistency. We note that what is pious is always pious. It does not seem to make any sense that what is pious today will be impious tomorrow. It follows that what is pious today was pious yesterday, and what was pious yesterday was pious the day before that, and so on until we arrive at the first cause of piety itself, which is defined as what all the gods love. Under this framework , piety is the state of being loved by all the gods, but it is meaningless to ask what prompts the gods to love something; that is, what caused the gods to love it. Socrates would no doubt complain that this makes piety a rather arbitrary affair, but that should not hinder Euthyphro. It has already been affirmed that different gods can love different things. That indicates that the likes and dislikes of the gods are not based on some higher principles, but are in fact arbitrary. Even so, it is always possible that all the gods can all love the same thing. This can happen purely by chance, but that would still not change that thing from being pious under Euthyphros definition. We note that Euthyphros definition is overarching definition that includes all that is pious and excludes everything else, while having sufficient explanatory power. While Socrates argument against Euthyphros definition is strong, it does not necessarily invalidate the definition. By removing the implicit requirement that the gods need a reason to love something, the definition holds up to both Socrates argument as well as his requirements for a good definition.

A Critical Response Essay on Walt Whitman’s A Noiseless Patient Spider

Walt Whitman’s poem is obviously comparing the web spun by the spider and the soul of one’s self. The use of words pertaining to space is in abundance in the whole poem and this is both the case when the persona was describing the noiseless and patient spider (â€Å"explore the vacant, vast surrounding†, line 3) and when describing his own soul (â€Å"Surrounded, surrounded, in measureless oceans of space†, line 7).The most fascinating aspect of the poem is that Whitman uses a free-verse style and yet a rhythm is formed with the tempo and a beat of how a spider would have been doing and feeling while spinning the silver web and trying to latch it to open spaces around it or how the soul of the persona itself is trying to seek â€Å"spheres† and â€Å"to connect them† (line 8) to the open space present around the soul.When a reader imagines the imagery presented in the poem, it is not the spider or the soul which is visualized. Instead, the re ader sees the imagery of a spider being noiseless and patient with spaces around it and the soul being noiseless and patient as well. Thus, the spider and the soul are both the same with their need to cling to something outside the space and to venture forth outside that space.Moreover, there is a sense of purpose and existence of both the soul and the spider since they both have to latch on to something. The spider has to in fact, launch â€Å"filament, filament, filament, out of itself† (line 4) and the soul has to fling its â€Å"gossamer thread† (line 10) until it â€Å"catch somewhere† (line 10).Therefore, the spider and the soul is one and the same. The link or the parallelism of both the spider and the soul is their place in space. Other than that, the spider and the soul would be enormously different from each other.  

Product Design Process

Product design process There are various product design processes and they are all focused on different aspects. The process shown below is â€Å"The Seven Universal Stages of Creative Problem-Solving,† outlined by Don Koberg and Jim Bagnell. It helps designers formulate their product from ideas. This process is usually completed by a group of people, designers or field experts in the product they are creating, or specialists for a specific component of the product, such as engineers. The process focuses on figuring out what is required, brainstorming possible ideas, creating mock prototypes, and then generating the product.However, that is not the end of the process. At this point, product designers would still need to execute the idea, making it into an actual product and then evaluate its success by seeing if any improvements are necessary. The product design process has experienced huge leaps in evolution over the last few years with the rise and adoption of 3D printing. N ew consumer-friendly 3D printers can product dimensional objects and print upwards with a plastic like substance opposed to traditional printers that spread ink across a page.The design process follows a guideline involving three main sections:[4] Analysis Concept Synthesis The latter two sections are often revisited, depending on how often the design needs touch-ups, to improve or to better fit the criteria. This is a continuous loop, where feedback is the main component. [4] To break it down even more, the seven stages specify how the process works. Analysis consists of two stages, concept is only one stage, and synthesis encompasses the other four. [edit]Analysis