Agents, Instruments and Predication Theory

Rumfitt’s Theory of Predication∗

Before Frege there was no satisfactory way of explaining both the validity of the inference of (B) from (A) and also that of the inference of (C) from (B). Frege’s solution has several components, but one key element is his ability to decompose (B) in at least two different ways. The unasserted proposition contained in (B) can be seen as obtained by attaching the expression of generality ‘someb...

Standard Models of Set Theory with Predication

Ignacio Angelelli Predication Theory: Classical Vs Modern

This essay aims, first, at describing the conflict between the theory of predication (classical, Aristotelian) prevailing in philosophy until the end of the 19th century, and the theory arisen with the new logic (modern, Fregean). Three features characterize the preFregean period: 1) conflation of predication and subordination (extensionally: membership and class-inclusion), 2) conflation of id...

The Interpretation of Set Theory in Mathematical Predication Theory

A theory of the discovery and predication of relational concepts.

Relational thinking plays a central role in human cognition. However, it is not known how children and adults acquire relational concepts and come to represent them in a form that is useful for the purposes of relational thinking (i.e., as structures that can be dynamically bound to arguments). The authors present a theory of how a psychologically and neurally plausible cognitive architecture c...