I. Wesen und entwicklung des humanitätsgedankens.--II. Der socialismus.--III. Der individualismus.--IV. Der utilitarianismus.--V. Der pessimismus.--VI. Der evolutionismus.--VII. Der positivismus.--VIII. Nietzsches uebermensch.--IX. Die hauptgrundsätze einer modernen humanitätsethik.

Several difficulties that accompany Plato's theory of Forms have received considerable attention in the philosophical literature in the past half century. A great deal of discussion and controversy surrounds the dialogue Parmenides and the group of considerations commonly called the “Third Man Argument”. Our purpose here is to strike out in one direction suggested by this passage, but it can in no way be thought of as an exegesis nor a logical elucidation of the “Third Man Argument” itself. While what (...) we shall say here has an obvious affinity and connection with the Parmenides passage, the two principal questions that concern us here are of a more general nature than the specific points in the Parmenides. The first is whether Plato's theory of Forms involves a regress which is ruinous to the theory. The second is, if a self-destructive regress is a necessary consequence of the theory, what elements of Plato's theory make the regress inescapable. (shrink)

Several problems that pertain to certain arithmetically well-behaved countable subsemirings of Λ, the semiring of isols, are discussed. This is relevant to the present volume memorializing the late John Myhill, in that Myhill was an early co-developer of the theory of Λ.