Logic puzzle analogy for the problem of free will

Philosophy Forums Religion and Spirituality
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In this scenario, a variable can be equal to A or something other than A (we’ll call that B).

Here are three presuppositions:

  1. Variable X is equal to Variable Y (e.g. if Variable X is A, then Variable Y is A; if Variable X is B, then Variable Y is B; If Variable Y is A, then Variable X is A; if Variable Y is B, then Variable X is B)

  2. Variable Y is freely given a value of A or B by an unencumbered human being on day 2

  3. On day 1, Variable X has a fixed value of either A or B. If it is A, then it remains A forever. If it is B, then it remains B forever.

Can all three of those presuppositions be true?