A. Grünbaum, Geometry: Chronometry and Empiricism

Grünbaum colorings of toroidal triangulations

We prove that if G is a triangulation of the torus and χ(G) 6= 5, then there is a 3-coloring of the edges of G so that the edges bounding every face are assigned three different colors.

Psychometric G and mental chronometry.

open concepts that comprise all aspects of brain activity that result in some form of information processing, Two main aspects of these functions call for investigation: (1) the basic neural design features and operating principles of the brain that make these functions possible, and (2) the cause of individual biologically normal variation in the proficiency of performing these cognitive funct...

Towards a new empiricism

1 Some historical background Linguists in the pre-generative period in American linguistics would happily have referred to themselves as empiricists. Foremost in their understanding of the term was the sense that empiricists were highly skeptical of what they viewed as metaphysical claims, and they shared the view that a rigorous method needed to be invoked in order to make scientific claims. T...

Empiricism, Semantics, and Ontology

Empiricists are in general rather suspicious with respect to any kind of abstract entities like properties, classes, relations, numbers, propositions, etc. They usually feel much more in sympathy with nominalists than with realists (in the medieval sense). As far as possible they try to avoid any reference to abstract entities and to restrict themselves to what is sometimes called a nominalisti...

Towards a new empiricism: 1.6