Monday 8 September 2014

Week Three Questions

1. What insight do normal mathematicians have to the nature of numbers? (What do you think, what does Frege think)

2. Why does Frege think that images and thoughts in our mind are not what mathematics is about?

3. Why must we not ask for the meaning of a word in isolation?

4. The study of arithmetic involves studying an infinite number of truths. Can we then aximotize it?

5. Mill holds that the definition of each number involves the assertion of a physical fact. Do you agree? Did Frege? Why/why not?

6. Does the number 0 have different ontological status than the number 1? Is 0 a number at all?

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