Consider any two things that are similar. The length of 1974 and 1975 are similar in that they were both 365 days long. They are different by approximately 1/4 day. How is it possible to integrate these two numbers? Notice that 365 is cardinal while approximately 1/4 is ordinal. If the 1/4 were cardinal, ie, exact, there would be no problem, it is easy to integrate 'exactness'. If we add exact to exact we get exact. If we add exact to inexact we get inexact, however, it is possible to approach exactness as close as we need using a calculus. It is the ability to approach exactness that makes all science possible. Science owes part of its identity to the calculus. Induction can be rendered deductive with the calculus.

# the relation between induction and deduction

Consider any two things that are similar. The length of 1974 and 1975 are similar in that they were both 365 days long. They are different by approximately 1/4 day. How is it possible to integrate these two numbers? Notice that 365 is cardinal while approximately 1/4 is ordinal. If the 1/4 were cardinal, ie, exact, there would be no problem, it is easy to integrate 'exactness'. If we add exact to exact we get exact. If we add exact to inexact we get inexact, however, it is possible to approach exactness as close as we need using a calculus. It is the ability to approach exactness that makes all science possible. Science owes part of its identity to the calculus. Induction can be rendered deductive with the calculus.

## Error