•  8
    How to Derive Aristotle’s Categories from First Principles
    with Humphrey P. van Polanen Petel
    Axiomathes 32 (Suppl 2): 113-147. 2021.
    We propose a model of cognition grounded in ancient Greek philosophy which encompasses Aristotle’s categories. Taking for First Principles the brute facts of the mental actions of separation, aggregation and ordering, we derive Aristotle’s categories as follows. First, Separation lets us see single entities, giving the simple concept of an individual. Next, Aggregation lets us see instances of some kind, giving the basic concept of a particular. Then, Ordering lets us see both wholes-with-parts …Read more
  •  15
    How to Derive Aristotle’s Categories from First Principles
    with Humphrey P. van Polanen Petel
    Axiomathes 41 1-35. 2021.
    We propose a model of cognition grounded in ancient Greek philosophy which encompasses Aristotle’s categories. Taking for First Principles the brute facts of the mental actions of separation, aggregation and ordering, we derive Aristotle’s categories as follows. First, Separation lets us see single entities, giving the simple concept of an individual. Next, Aggregation lets us see instances of some kind, giving the basic concept of a particular. Then, Ordering lets us see both wholes-with-parts …Read more