„This social axiom is that
We OUGHT to act in such a way that what IS true can be verified to be so.“

— Jacob Bronowski, Context: There is a social injunction implied in the positivist and analyst methods. This social axiom is that We OUGHT to act in such a way that what IS true can be verified to be so. Part 3: "The Sense of Human Dignity", §3 (p. 58)

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Jacob Bronowski3
1908 - 1974
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„One states as axioms several properties that it would seem natural for the solution to have and then one discovers that the axioms actually determine the solution uniquely. The two approaches to the problem, via the negotiation model or via the axioms, are complementary; each helps to justify and clarify the other.“

— John Nash American mathematician and Nobel Prize laureate 1928 - 2015
Context: We give two independent derivations of our solution of the two-person cooperative game. In the first, the cooperative game is reduced to a non-cooperative game. To do this, one makes the players’ steps of negotiation in the cooperative game become moves in the noncooperative model. Of course, one cannot represent all possible bargaining devices as moves in the non-cooperative game. The negotiation process must be formalized and restricted, but in such a way that each participant is still able to utilize all the essential strengths of his position. The second approach is by the axiomatic method. One states as axioms several properties that it would seem natural for the solution to have and then one discovers that the axioms actually determine the solution uniquely. The two approaches to the problem, via the negotiation model or via the axioms, are complementary; each helps to justify and clarify the other. "Non-cooperative Games" in Annals of Mathematics, Vol. 54, No. 2 (September 1951)<!-- ; as cited in Can and should the Nash program be looked at as a part of mechanism theory? (2003) by Walter Trockel -->

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—  Aristotle Classical Greek philosopher, student of Plato and founder of Western philosophy -384 - -322 a.C.

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