# problem 2 above can be viewed as a prediction type problem

problem 2 above can be viewed as a ‘prediction’ type problem. Many of the results we have discussed ( and sometimes proved) in this class can be restated as ‘ predictions’ ( sometimes when it does not appear that enough information has been assumed to draw the desired conclusion). (a) Explain how the theorem that the square root of 2 is an irrational number can be interpreted as a ‘prediction’. (b) Give another example of a result from class that can be interpreted as a ‘prediction’ problem. ( c ) Explain why the Continuum Hypothesis could be considered a ‘ prediction’ result if only it had been true.