A Note on Fine's Axioms for Qualitative Probability
Roberts, Fred S.
Ann. Probab., Tome 1 (1973) no. 5, p. 484-487 / Harvested from Project Euclid
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Fine gives axioms on a binary relation $\precsim$ on a field of events, with $A \precsim B$ interpreted as "$A$ is (subjectively) no more probable than $B$," sufficient to guarantee the existence of an order-preserving probability measure and an additive order-preserving probability measure. It is noted that one of Fine's axioms, that the order topology have a countable base, can be replaced by the more appealing axiom that there is a countable order-dense subset.
Publié le : 1973-06-14
Classification:  Subjective probability,  qualitative probability,  order topology,  60A05,  06A45 
@article{1176996942,
     author = {Roberts, Fred S.},
     title = {A Note on Fine's Axioms for Qualitative Probability},
     journal = {Ann. Probab.},
     volume = {1},
     number = {5},
     year = {1973},
     pages = { 484-487},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996942}
}

Roberts, Fred S. A Note on Fine's Axioms for Qualitative Probability. Ann. Probab., Tome 1 (1973) no. 5, pp.  484-487. http://gdmltest.u-ga.fr/item/1176996942/