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@Bones
The process of something occurring to me is completely random.
In general, I agree with your two posits. However, the quote above regarding the 2nd posit is incomplete. One can go through a carefully structured thought process, not just by random thought, to have something occur to one. Happens all the time, yet, you discount it as being strictly random. Whereas, a deliberate thought process is not at all random. That's the first problem.
Second problem: You then launch into this assumption of using Japan and Australia as possible "random" countries to pick, and assume your place in another's [ours] mind, and proceed merrily through a sequence of thinking, and how we might respond to a series of questions about our selection. only, we may not go through the thinking process you suppose is the only possible thought track. Quite simply, you already know what assumptions make of us. Don't think that just because you did not consider we may think differently than you, that our method of thought is not the correct method.
Third problem: "Well, what other factors can control your movement?" Well, I reply, just the fact that without my moving a muscle, sitting on a park bench, I am already moving with the rotation of the Earth, also moving in its orbit around the Sun, which is, simultaneously and differently, moving in orbit about the center of the galaxy, which, separate and distinct from all previous movements, is in its own course around... whatever. For me sitting still, that 's a lot of separate moving phenomena, all in keeping with holy physics. So, stuff the idea of determinism because, in spite of all that movement that exists, but over which I have no control, I just rose from the park bench, went to the airport and flew to Egypt to see the pyramids, a country to which I have never been, but have desired to see as part of my bucket list. So, no, it was not a random choice, but I made the choice, none the less, and felt no obligation by determinism to do so.