Question

explain why each of the following is not an acceptable definition.

1. an automobile is a motorized vehicle with four wheels.
2. a circle is a shape that is round.
3. cricket is a game played on a large field with a ball and a bat.
4. parallel lines do not intersect.

for questions 8 - 12, use the chart below. decide whether the description of each letter is a good definition. if not, provide a counter - example by giving another letter that could fit the definition.

1. the letter k is formed by making a v with the two fingers beside the thumb.
2. you have formed the letter y if the thumb and one finger are extended up and the other fingers are folded into the palm of your hand.
3. you form the letter b by holding all four fingers tightly together and pointing them straight up while your thumb is folded into your palm.

some figures that are piggles are shown below, as are some nonpiggles.
tell whether each of the following is a piggle. explain how you know.
11.
12.
13.

Explanation:

1. This definition is too broad. Motor - ized vehicles with four wheels include things like ATVs which are not automobiles.
2. The term "round" is too vague. Many shapes can be considered roundish but are not circles. A circle has a precise mathematical definition as the set of all points in a plane that are at a given distance from a given point (the center).
3. This definition is too general. Many games are played on large fields with a ball and a bat, like baseball.
4. This is an incomplete definition. Parallel lines are not only non - intersecting but also lie in the same plane.
5. This is not a good definition. The letter V can also be formed by making a V with two fingers beside the thumb.
6. This is not a good definition. Other hand - shapes could potentially be misinterpreted as forming the letter Y depending on perspective.
7. This is a relatively good definition as it gives specific and clear instructions on hand - positioning to form the letter B.

11 - 13: Without a clear definition of "piggles" based on the given examples, it's hard to say. But if we assume piggles have some sort of continuous, non - self - intersecting and smooth (in some cases) property, we can analyze each figure. For example, if piggles are non - self - intersecting and have a certain smoothness, then we can check if the given figures meet those criteria.

Answer:

1. Too broad; counter - examples exist.
2. Vague term; lacks precision.
3. Too general; counter - examples exist.
4. Incomplete; must be in the same plane.
5. Not good; counter - example (letter V).
6. Not good; potential for misinterpretation.
7. Good; specific instructions.

11 - 13: Need more defined criteria for "piggles" to determine.