80-110   The Nature of Mathematical Reasoning

Spring 2001

Dirk Schlimm

Homework No.7

Tuesday, March 6, 2001
Due Tuesday, March 13, 2001

1. Category mistakes (6 points)

In one of the earlier lectures there has been some discussion whether it is admissible to speak of a "valid statement" or a "true argument", after valid, statement, and argument had been introduced as in the lectures. This discussion is related to what Gilbert Ryle calls a category mistake.

2. Interpretations of probability (4 points)

Summarize the main interpretations of probability discussed in the entry probability of the Cambridge Dictionary of Philosophy (Handout #18). Write a few (more than two) sentences for each interpretation.