Please respond to at least two of the following prompts:

1. What does calling mathematics a 'language' mean? Does mathematics function in the same way as our daily written and spoken language?

2. Why is it that some claim that mathematics is no more than a 'logical game', such as chess, for example, devoid of particular meaning? If this were the case, how do we account for the fact that it seems to apply so well to the world around us?

3. What is the foundation on which mathematical knowledge rests? Is it discovered or invented? What is meant by this distinction? Can it be applied usefully to other areas?

4. Mathematics has been described as a form of knowledge which requires internal validity or coherence. Does this make it self-correcting? What would this mean?

1. What does calling mathematics a 'language' mean? Does mathematics function in the same way as our daily written and spoken language?

2. Why is it that some claim that mathematics is no more than a 'logical game', such as chess, for example, devoid of particular meaning? If this were the case, how do we account for the fact that it seems to apply so well to the world around us?

3. What is the foundation on which mathematical knowledge rests? Is it discovered or invented? What is meant by this distinction? Can it be applied usefully to other areas?

4. Mathematics has been described as a form of knowledge which requires internal validity or coherence. Does this make it self-correcting? What would this mean?