Implementationist connectionism is a more ecumenical position. It allows a potentially valuable role for both Turing-style models and neural networks, operating harmoniously at different levels of description (Marcus 2001; Smolensky 1988). A Turing-style model is higher-level, whereas a neural network model is lower-level.  The neural network illuminates how the brain implements the Turing-style model, just as a description in terms of logic gates illuminates how a personal computer executes a program in a high-level programming language.