Hi all,

The mathematics which we will have to use for psychohistory would be largely statistical models, I think. We would have to use interpretative mathematics which is descriptive rather than quantitative too. Set theory, as you have already mentioned is one important math which we will require.

Boolean algebra will contend with fuzzy logic for dealing with decisive problems, where all depends on decisions of one person or a small group and such.

I find the contribution which topology can make interesting. I cannot claim to know a lot of the subject, but it is a descriptive set-theory kind of math. This may be able to help us devise mapping solutions and such and hence may be able to handle the effects of small groups on larger ones and the effect of individual minds/thoughts/influences on larger populations. The mathematics of multiple dimensions will be necessary as we will be dealing with huge numbers of variables.

We may need to model chaos into the model early, if it has to survive into larger and more complex models.

Personality traits and their classification would be another thing I would look to introduce into descriptive math models. These would be weighted probabilistic math models which would largely handle dominated groups of people given stimuli and social reactions. I would like to more than just touch on these points as I have done now, but I am sure I will find more for discussion.

All comments are welcome.

--Fulcrum