Describe in your own words materialism and dualism as two contrasting positions on the mind-body problem. List a couple of criticisms of each theory. Express your own thoughts on the mind-body problem. Did you come to them via custom or rational reflection?

Materialism and dualism are two different ideologies about mind and physical body.

Materialism in philosophy of mind refers to the theory or idea that all facts are dependent upon physical processes, or even reducible to them.

In the philosophy of mind, dualism is the theory that the mental and the physical are, in some sense, different kinds of thing from each other.

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russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

answerdmitry mendeleyev made a workable classification of the elements