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  2. Free will theorem - Wikipedia

    en.wikipedia.org/wiki/Free_will_theorem

    The free will theorem states: Given the axioms, if the choice about what measurement to take is not a function of the information accessible to the experimenters (free will assumption), then the results of the measurements cannot be determined by anything previous to the experiments. That is an "outcome open" theorem:

  3. Incompatibilism - Wikipedia

    en.wikipedia.org/wiki/Incompatibilism

    Free-will libertarianism is the view that the free-will thesis (that we, ordinary humans, have free will) is true and that determinism is false; in first-order language, it is the view that we (ordinary humans) have free will and the world does not behave in the way described by determinism.

  4. Free will - Wikipedia

    en.wikipedia.org/wiki/Free_will

    The problem of free will has been identified in ancient Greek philosophical literature. The notion of compatibilist free will has been attributed to both Aristotle (4th century BCE) and Epictetus (1st century CE): "it was the fact that nothing hindered us from doing or choosing something that made us have control over them".

  5. Compatibilism - Wikipedia

    en.wikipedia.org/wiki/Compatibilism

    Compatibilism is the belief that free will and determinism are mutually compatible and that it is possible to believe in both without being logically inconsistent. [1] As Steven Weinberg puts it: "I would say that free will is nothing but our conscious experience of deciding what to do, which I know I am experiencing as I write this review, and this experience is not invalidated by the ...

  6. Completeness (logic) - Wikipedia

    en.wikipedia.org/wiki/Completeness_(logic)

    Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...

  7. Law of large numbers - Wikipedia

    en.wikipedia.org/wiki/Law_of_large_numbers

    The modern proof of the strong law is more complex than that of the weak law, and relies on passing to an appropriate subsequence. [17] The strong law of large numbers can itself be seen as a special case of the pointwise ergodic theorem. This view justifies the intuitive interpretation of the expected value (for Lebesgue integration only) of a ...

  8. Friedrich Nietzsche and free will - Wikipedia

    en.wikipedia.org/wiki/Friedrich_Nietzsche_and...

    Now, going back to the mentioned definition, chance means: that what cannot be predicted. If randomness affects a man (unsubjugated, reaching even the surface of his consciousness), then "unfree will" occurs. Thus, whenever we call something free, we feel something free, in short: wherever we feel our power, it is deterministic, it is a ...

  9. Free will in antiquity - Wikipedia

    en.wikipedia.org/wiki/Free_will_in_antiquity

    Free will in antiquity is a philosophical and theological concept. Free will in antiquity was not discussed in the same terms as used in the modern free will debates, but historians of the problem have speculated who exactly was first to take positions as determinist, libertarian, and compatibilist in antiquity. [1]