Free Will/Choice

Free Will: #

  • Unexpected Hanging paradox, Crocodile paradox, Newcomb’s paradox:

Also:

“While it is not possible for the halting problem for a given computing language to be computable in that language, it is certainly possible that it is computable in a strictly stronger language. When that is the case, one can then invoke Newcomb’s paradox to argue that the weaker language does not have unlimited “free will” in some sense.”

Terrence Tao

  • Formal Definition by Conway (as independent of all previous history)

  • Free Will vs Free Choice

  • Conway-Kochen Theorem, PDF, Videos

  • Free Choice vs. random/probabilistic choice

  • Games/Lefebvre (random=free/independent of history if in the same tact)

  • No start with an end.

    Энгельс. Что имеет конец, то не имело начало (АнтиДюринг). Как детерминированный или вероятностный процесс с конечным числом внутренних переменных, разумеется. Кстати, есть школьные олимпиадные задачи, которые на этом основаны. Kőnig’s lemma? JC: познали ли вы начало, чтобы спрашивать о конце? Кстати, в случае free will конец без начала возможен. Also, Thue-Morse sequence.

  • Problem of future contingents and Master Argument

This conflicts with the idea of our own free choice: that we have the power to determine or control the course of events in the future, which seems impossible if what happens, or does not happen, is necessarily going to happen, or not happen. As Aristotle says, if so there would be no need “to deliberate or to take trouble, on the supposition that if we should adopt a certain course, a certain result would follow, while, if we did not, the result would not follow”.