I posted before about an open source decision making web site I am working on called WikiLogic. The site has a 2 minute explanatory animation if you are interested. I wont repeat myself but the tl;dr is that it will follow the Wikipedia model of allowing everyone to collaborate on a giant connected database of arguments where previously established claims can be used as supporting evidence for new claims.
The raw deduction element of it works fine and would be great in a perfect world where such a thing as absolute truths existed, however in reality we normally have to deal with claims that are just the most probable. My program allows opposing... (read 421 more words →)
The issues you raised are interesting but actually make this a pretty good example of my problem - how do you account for weak evidence and assign it a proper likelihood. One way i am testing this is by taking an example which i think is agreed to be 'most likely' (that he existed as opposed to not existing). Then i want to work backwards and see if we there is a method for assessing probability that seems to work well on small scale questions, like probability's of minted coins and give me the expected answer when i add it all together.
At this point i am still trying to work out the objective priors issue. The method either needs to be immediately agreeable by all potential critics or have an open and fair way of arguing over how to formulate the answer. When i work that out i will move to the next stages although no guarantee i keep using the Alexander example.