Why Binary Merge?

Year
2016
Volume 17
Issue 4
Pages
499-546
Authors
Koji Arikawa
Abstract
Linguists have accumulated evidence for binary merge. This paper adds mathematical reason. The computational procedures of human natural language (CHL) choose binary merge because it can contain more information, and lacks optimal balance. Nature organizes network currents to minimize information loss. This is the physical principle of minimal computation (MC). CHL obeys MC. Nature has created CHL in the human brain. Nature has selected binary merge whose balance is not optimal, and information loss (error) is not minimized. However, this unsettled unbalance (asymmetry) of binary merge drives the in nite growth of binary trees.

Keywords: : balance, CHL, graph, linear algebra, MC, merge