Here is a short reading from the next section by Russell. In it, he suggests that induction
is not the only rational principle assumed to be true. This is also shown by a dialogue
between the Tortoise and Achilles by Lewis Carroll. But to understand the context of that
dialogue, first read a little about one of Zeno's paradoxes here.
Then read the Carroll dialogue here.
Answer the following questions. There is no minimum word count; just write whatever is
necessary for clear, thorough answers.
1. To answer Zeno's paradox, how is possible for Achilles to ever catch the Tortoise if
the Tortoise is given a head start?
2. Suppose you present someone with the following syllogism:
A. Two men, Jim and Bob, are walking down the hallway. One is wearing a green
shirt and one is wearing a red shirt.
B. Bob is wearing a green shirt.
Z. Jim must be wearing a red shirt.
Most people would say that if A and B are true, Z must be true. But Lewis Carroll says
there is actually a third principle, C, which must be accepted. What is it? And why
are even these three principles, A, B, and C, insufficient to accept Z?