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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:
Stone's theorem on one-parameter unitary groups (functional analysis) Stone–Tukey theorem ; Stone–von Neumann theorem (functional analysis, representation theory of the Heisenberg group, quantum mechanics) Stone–Weierstrass theorem (functional analysis) Strassmann's theorem (field theory) Strong perfect graph theorem (graph theory)
These questions predate the early Greek stoics (for example, Chrysippus), and some modern philosophers lament the lack of progress over all these centuries. [11] [12] On one hand, humans have a strong sense of freedom, which leads them to believe that they have free will. [13] [14] On the other hand, an intuitive feeling of free will could be ...
A renewal process has asymptotic properties analogous to the strong law of large numbers and central limit theorem. The renewal function () (expected number of arrivals) and reward function () (expected reward value) are of key importance in renewal theory. The renewal function satisfies a recursive integral equation, the renewal equation.
The neuroscience of free will encompasses two main fields of study: volition and agency. Volition, the study of voluntary actions, is difficult to define. [citation needed] If human actions are considered as lying along a spectrum based on conscious involvement in initiating the actions, then reflexes would be on one end, and fully voluntary actions would be on the other. [17]
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 ...
In 2004, Conway and Simon B. Kochen, another Princeton mathematician, proved the free will theorem, a version of the "no hidden variables" principle of quantum mechanics. It states that given certain conditions, if an experimenter can freely decide what quantities to measure in a particular experiment, then elementary particles must be free to ...
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]