The shop offered strange, exotic-sounding flavors of ice cream, like “worms and dirt”, vanilla, gummy worms, and cookie crumbles, and “tortoiseshell”, chocolate ice cream blended with swirls of caramel and two kinds of dark chocolate.

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

The French philosopher Rene Descartes once went out to dinner at a French restaurant because (1) after all (2) where else would he go to eat? On that occasion (3) he ordered the escargot en beurre, the chicken liver paté, the gratineed scallops (4) and the blanquette de veau. Then he proceeded to order another portion of each dish. The waitress was appeased (5). She had never seen anyone order so much food in one sitting it (6) made her slightly ill to watch him eat it all. What made it worse he had no table manner at all since (7) philosophers tend to be thinking about life and death and (8) not about using a napkin. Finally (9) as he sipped the last of his burgundy (10) Descartes made a motion for the check. The waitress asked (11) "Would you care for any desert, monsieur?" At that point, Descartes replied, "I think not" (12) and promptly vanished.

Choose from the following four options the answer that best corrects the underlined mistake preceding the question number. If there is no mistake or the original text is the best option, choose "NO CHANGE."

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

Julia (and her ever-present dog, Fido) arrived at the fair with a sense of excitement and adventure.

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

Amarna was pursuing a career as a model, her parents certainly did not agree with her career trajectory, and found some promising opportunities in California, thousands of miles from home.

“Democracy—Always a Good Thing?”

In the contemporary world, we tend to think that democracy is always the best form of government.  We are enchanted by the idea of self-governance for it seems to affirm the maturity of the citizens of a nation.  Instead of being ruled by benign-monarchs or the landed-aristocracy, the citizens of a democracy are people who exercise self-mastery in a fully human manner.  Well, at least this is what we tend to think of the matter.

Really, however, democracy is an ambiguous affair.  Often, we use such single terms to name two different types of social arrangements.  Such an equivocation is understandable.  Whenever all (or at least most) of the people take part in political life, it seems like we have a kind of democracy.  However, it is important to make a clearer distinction.

On the one hand, there can be a community that aims at the common good.  In such a group, the people come together to have a political community that aims to fulfill human goals that could not be done by isolated individuals.  Such a group will come together to establish educational institutions to preserve culture, regulate commerce in order to help normalize economic interactions, pass many laws that regulate our social interactions, and undertake many other affairs.  Although all of these things benefit the individuals in the given society, such a group of self-governing people do not aim merely at the private satisfaction of the people.  This kind of “democracy” works together, for common political goals.

On the other hand, there can be a community that merely aims at the private goods of the citizens.  The Greek philosopher Aristotle remarked in his text, the Politics,  that democracy was a government by the numerous poor people for the sake of those same people’s private goods.  Clearly, he was using “democracy” in this sense.  If the people of a nation only come together in order to assure their own private freedom and to receive benefits for themselves, a given society is this kind of so-called democracy.

Of course, it is difficult to say what is the state of any particular nation today.  Often, elements of each of these kinds of governance is found in a given country at a particular time.  Still, it is important to be aware that such an “equivocation” is possible.  Otherwise, we will end up saying rather foolish things like, “Democracy is always a good form of government,” or, “democracy is a horrible form of government.”

Choose the answer that best corrects the bolded and underlined portion of the passage. If the bolded and underlined portion is correct as written, choose "NO CHANGE."

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

New structures are being built to house low-income families.

“Mathematics and Learning”

What subject should be learned first?  The question rightly troubles anyone who’s interest is in education.  Of course, young children often must learn in a very basic and rote fashion, applying their apt memorization skills to simple tasks that will serve them very well in later years when they go one to apply such knowledge to more complex topics.  However, when the time comes to designing curricula, an important question must be answered for older students, namely “What is most important first topic in these students’s education?”

An argument can be made for the use of mathematics as a tool for teaching students how to reason more clearly.  This is not because mathematics is the basis of all knowledge.  Indeed not.  There are many important subjects including not only the humanities like poetry and history but sciences like biology and physiology too.   These topics are not strictly speaking mathematical in nature, even though mathematics can be used in it in many ways.

Our minds are best geared for learning things that we can sense, things that are visible and tangible.  Although mathematics is abstract, it can begin with this kind of sense derived experience.  Beginning with simple everyday examples, children can be taught the more abstract and difficult skills that must be learned for the sake of the development of mathematical skills.  In the process of learning these topics, the children will begin to learn important rules about reasoning.  He or she will learn how several propositions can serve as the basis for conclusions.  They will learn how certain properties are related to various geometric figures and arithmetical rules.  Although much of this will be memorized at first, with time, they will have the opportunity to see that human reasoning in mathematical subjects is orderly and logical.  On the basis of such “logical experience,” young learners can then begin to be taught the rules of logic that they have been using all along.  As the medievals used to say, they could go from logica utens, logic used in other subjects, to logica docens logic taught, as a unique, and separate subject.

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

“Mathematics and Learning”

What subject should be learned first?  The question rightly troubles anyone who’s interest is in education.  Of course, young children often must learn in a very basic and rote fashion, applying their apt memorization skills to simple tasks that will serve them very well in later years when they go one to apply such knowledge to more complex topics.  However, when the time comes to designing curricula, an important question must be answered for older students, namely “What is most important first topic in these students’s education?”

An argument can be made for the use of mathematics as a tool for teaching students how to reason more clearly.  This is not because mathematics is the basis of all knowledge.  Indeed not.  There are many important subjects including not only the humanities like poetry and history but sciences like biology and physiology too.   These topics are not strictly speaking mathematical in nature, even though mathematics can be used in it in many ways.

Our minds are best geared for learning things that we can sense, things that are visible and tangible.  Although mathematics is abstract, it can begin with this kind of sense derived experience.  Beginning with simple everyday examples, children can be taught the more abstract and difficult skills that must be learned for the sake of the development of mathematical skills.  In the process of learning these topics, the children will begin to learn important rules about reasoning.  He or she will learn how several propositions can serve as the basis for conclusions.  They will learn how certain properties are related to various geometric figures and arithmetical rules.  Although much of this will be memorized at first, with time, they will have the opportunity to see that human reasoning in mathematical subjects is orderly and logical.  On the basis of such “logical experience,” young learners can then begin to be taught the rules of logic that they have been using all along.  As the medievals used to say, they could go from logica utens, logic used in other subjects, to logica docens logic taught, as a unique, and separate subject.

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

“Intellectual Virtues”

Whenever someone talks about being “virtuous,” we immediately think of someone whose very moral.  Perhaps we even think of people who are a bit boring for virtuous people can appear to have no fun at least in the popular imagination.  Whatever the case might be, almost any reader would be surprised to see the expression “intellectual virtues.”  What could this expression mean to designate!  At best, most people would say, “Such virtues must describe people for who knowledge is combined with devotion and rigorous discipline.”  That is; they would seem to describe the person who has a disciplined character in addition to being intelligent.

However, in ancient and medieval philosophy, certain intellectual capacities were considered virtues.  These character traits were not quite the same as moral character traits or virtues.  To understand this idea, it can be helpful to consider two example people, one whose skills are the fruit of a so-called intellectual virtue and the other whose skills are not.

It is easier to start with the person who does not have a given intellectual virtue.  We all know someone who is not very good at math, that is, someone for who math is difficult even though he or she might be quite skilled at many other tasks   It makes sense to say that this person doesn’t have an intellectual virtue.  Likewise, think of the person who is only able to memorize formulas.  Such a person is often very good at working through many problems with deft skill.  This person seems to be a “wiz” at geometry and algebra, quickly solving equations and proofs. 

However, this latter person might suddenly be presented with a difficult, new problem.  When we notice that he or she does not have the creative skill and insight to solve the problem, we realize that he or she does’nt have a so-called “intellectual virtue.”  This person merely has a habit—a particular skill that is helpful but does not indicate true and complete mathematical knowledge.  The person who is able to understand the mathematics and creatively apply this knowledge to solve new problems.  This person has a true intellectual virtue.  They have a particular ability for intellectual insight, able to probe the difficult domain of this topic.  This is much more noble as the mere habit of being able to balance equations and repeat facts about geometric figures!

Choose the answer that best corrects the underlined portion of the passage. If the underlined portion is correct as written, choose "NO CHANGE."

Choose the answer that best corrects the underlined portion of the sentence. If the underlined portion is correct as written, choose "NO CHANGE."

After learning that the client was on a tight budget which (he hadn't known at first), Joe made a revised plan for the project.