Reflexivity, Validity and Roses

Free groups and roses

Consider the 2n symbols x1, . . . , xn, x−1 1 , . . . , x −1 n . Collect these into a set G. There is a map from G to itself which interchanges xi and x−1 i . This map is denoted by the usual inversion symbol g 7→ g−1. Thus x−1 i is unambiguous and (x −1 i ) −1 = xi. The empty word will be denoted by 1. A word is defined to be a finite ordered list of elements of G, depicted as exemplified by x...

Contexts, Biases, and Reflexivity

In a recent, welcome contribution, Predelli (2013) presents a fruitful and powerful framework on how truth-conditional semantics can deal with non-truth-conditional meaning. One of the gifts of Predelli’s contribution is that it presents a unifying theory dealing with seemingly various phenomena often relegated to the pragmatics dustbin. Thus, nicknames, slurs, answering machines/post-its, voca...

Sarajevo Roses and Commemorative Plaques

AGI and Reflexivity

We define a property of intelligent systems, which we call Reflexivity. In human beings it is one aspect of consciousness, and an element of deliberation. We propose a conjecture, that this property is conditioned by a topological property of the processes which implement this reflexivity. These processes may be symbolic, or non symbolic e.g. connexionnist. An architecture which implements refl...

Reflexivity and Eigenform