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How does the mind relate to the body? What is the relationship between mental states and physical states? This involves exploring whether the mind and body are distinct entities or if mental phenomena can be reduced to physical processes.

What is consciousness? How do subjective experiences arise from the physical processes of the brain? This includes understanding qualia (subjective experiences), the nature of self-awareness, and the hard problem of consciousness.

How can the existence of evil and suffering be reconciled with the existence of an all-powerful and benevolent deity? This question arises within the context of philosophy of religion and challenges the notions of the existence of a God who is both all-good and all-powerful.

You have a data set of 4096 daily observations and would like to estimate the Hurst exponent for that data like we discussed in the lectures. In the first iteration, you want to operate with two data samples consisting of 2048 non-overlapping observations and in the last iteration you want to have 1024 data samples consisting of 4 non-overlapping observations. How many data clusters do you have in total? You perform the following log-log regression: In(R/S)k = In(C) + HIn(k) + u. The estimated Hurst exponent is 0.72. If you implement the following hypothesis test,

Ho: H = 0.50 versus H1: H > 0.50,

what is your dependency structure under the null hypothesis? What is the corresponding reference distribution under the null hypothesis? Assuming that you apply a standard significance level of 5%, what is the critical value? Assume now that you run the test and your

estimated test statistic has a value of ^ = 1.81. What do you conclude concerning the

dependency structure of your data?