The emergence of the concept of a tool in foodretrieving behavior of the ants Formica japonica Motschulsky

We propose a weak definition for the usage of a tool for an ethological study of ants. In particular, we illustrate the usage of a cart in experiments on the transportation of foods by ants as employing a logical structure including a contradiction. The contradiction originates in ruling out the very term `toolʹ from the description of the behavior of the animals. Focusing on a self-similar structure underlying the description of a contradiction, we observe a particular time-series sequence of antsʹ behaviors following a 1/f or Zipfʹs law. The behaviors following the 1/f or Zipfʹs law manifest an appropriateness of the notion of a cart as a logical jump.