Editor introduction; Helen Aristar-Dry.- 1. Introduction to Divergent Views.- Why study language evolution ... or not?.- How ancient is language, and did Neanderthals have it?.- Sudden (saltationist) or gradual emergence?.- The core questions to The Five Problems.- 2. Sudden (Saltationist) Approaches to Language Evolution.- A sampling of saltationist approaches.- All or nothing saltationist scenario (Berwick and Chomsky).- Saltationism with some continuity (Miyagawa).- 3. Gradualist Approaches to Language Evolution.- A sampling of gradualist approaches.- Using the linguistic framework of Reconstruction of earliest vocabularies (Heine & Kuteva).- Using the linguistic framework of Reconstruction of earliest grammars (Progovac).- In defense of "living fossils" (Jackendoff; Bickerton; Givón; Progovac).- Cultural change or genetic evolution?.- Nurture vs. nature.- Cultural evolution and computer simulation studies.- 4. Putting it all The Language-Brain-Genes Loop.- From language to the brain to the genes, and back.- Specific sexual selection Language and genes.- Genetic discoveries and Genes and the brain (via language).- Neuroscientific findings and Language and the brain (via genes).- What about Neanderthals and other species?.- Conclusions and future prospects