1. What are the two kinds of Quantities?
The two kinds of Quantity are continuous and discrete.
2. What is a discrete quantity?
A discrete quantity is a quantity consisting of parts which are without position, which means parts that are not connected, but separate.
3. What is a continued quantity?
A continued quantity is a quantity consisting of parts which have position with reference to each other, which means that the parts are connected.
4. What does Aristotle mean when he says that parts “have position”?
Aristotle means that the parts, since they are connected in a whole, are not movable as the parts of a discrete quantity are, but fixed in position relative to one another.
5. Is a number a discrete or continued quantity? Why?
Number is a discrete quantity because its parts have no position, but separate.
6. Is a line a discrete or continued quantity? Why?
A line is a continued quantity because its parts are connected.
7. Is a sentence a discrete or continued quantity? Why?
A sentence is discrete quantity because is parts have no position, but are separate.
Note: I wonder if this was more obvious to a Greek with an inflected language where words and phrass were movable. It’s not so simple in English!
8. Is time a discrete or continued quantity? Why?
Time is a continuous quantity because its parts (past, present, future) have position.
9. Is place a discrete or continued quantity? Why?
Place is a continuous quantity, for its parts (as of a body) have position.
10. If a line is divided into parts, does this not prove that a line is a discrete quantity?
A line cannot be divided into parts and remain a line. It is only divisible in the sense that it’s parts may be contemplated.
11. If we say that a journey can be “long” or “short”, doesn’t this prove that a journey is a quantity? Explain.
No. Saying that a journey is “long” or “short” is accidental to the journey, for it is not the journey that is said to be long or short, but the time spent or distance traveled on the journey.
12. It would appear that Quantities admit contraries, for “more” and “less” seem to refer to quantities and they are contraries. Do quantities admit contraries? Explain.
Nothing is contrary to quantity. Terms like “more” or “less” are not quantities, but are relatives and refer to something else.