The philosophy of statistics harbors a large variety of topics and debates. Central to these is the   problem of induction, which concerns the justification of inferences or procedures that extrapolate from data to predictions and general facts. Further debates concern the  interpretation of the probabilities that are used in statistics, and the wider theoretical framework that may ground and justify the correctness of statistical methods. A general introduction to these themes is given in  Section 1 and  Section 2.   Section 3 and   Section 4 provide an account of how these themes play out in the two major theories of statistical method, classical and Bayesian statistics respectively.  Section 5 directs attention to the notion of a statistical model, covering model selection and simplicity, but also discussing statistical techniques that do not rely on statistical models.   Section 6 briefly mentions relations between the philosophy of statistics and several other themes from the philosophy of science, including   confirmation theory,  evidence,   causality, measurement, and scientific methodology in general.