For the record, logical, analytic, probabilistically correct thinking is only a way of reaching goals. The goals themselves cannot be established by means of logic, only deconflicted/clarified/etc. To think otherwise is illogical.
According to Camus, one's freedom – and the opportunity to give life meaning – lies in the recognition of absurdity. In acknowledging the absurdity of seeking any inherent meaning, but continuing this search regardless, one can be happy, gradually developing his or her own meaning from the search alone.
Hence the large number of densely written words needed by existentialist philosophy and its associates, to attempt to justify it...
My point is only: you can't break the symmetry with logic alone. Ultimately your priors/axioms/experiences come into play.