Cartoon from the Catholic Cartoon Blog
One of the things that used to worry me was the definition of what a "Catholic" is. In the past, it was at least in theory, someone who was able to assent to the various catechisms. They might not have been fully understood and indeed in some parts of the world there might have been a great deal of superstition mixed in with their acceptance, but their acceptance signified assent to the Catholic faith.
The post Concilliar period, until the publication of that epic Ratzingarian work The Catechism of the Catholic Church, despised catechisms and the proposition approach to belief. We preferred the notional concept, the problem with it is that it is so fluffy. It is not anchored in anything substantial.
A propositional belief in the Real Presence means you believe in the details of what the Church puts forward in the doctrine of Transubstantiation, for example. A notional belief in the Real Presence easily degenerates into "this bread is "special"". It is the difference between the Love that Christ preached, with the connotations of the commandments and the Cross an the notion of love seen through a hippy's bong.