Reply to Deborah Cameron on Verbal Hygiene

Deborah McCollister

The SelecTive impacT of Skinner’S Verbal behaVior on empirical reSearch: a reply To Schlinger (2008)

In a recent article, Schlinger (2008) marked the 50th anniversary of the publication of Skinner’s Verbal Behavior (1957) by considering its impact on the field of behaviorism and research on verbal behavior. In the present article, we comment on Schlinger’s conclusions regarding the impact of the book and highlight the extensions and alternatives to Skinner’s account proposed by research on sti...

On the Cameron-Praeger conjecture

This paper takes a significant step towards confirming a long-standing and far-reaching conjecture of Peter J. Cameron and Cheryl E. Praeger. They conjectured in 1993 that there are no nontrivial block-transitive 6-designs. We prove that the Cameron-Praeger conjecture is true for the important case of non-trivial Steiner 6-designs, i.e. for 6-(v, k, λ) designs with λ = 1, except possibly when t...

On Cameron–Liebler line classes

Cameron–Liebler line classes are sets of lines in PGð3; qÞ that contain a fixed number x of lines of every spread. Cameron and Liebler classified them for x A f0; 1; 2; q 1; q; q þ 1g and conjectured that no others exist. This conjecture was disproven by Drudge and his counterexample was generalised to a counterexample for any odd q by Bruen and Drudge. Nonexistence of Cameron–Liebler line clas...

Deborah G