# Tables Turned

The experimenter across from you, wearing a lab coat and an identification tag, places his clipboard on the table. He explains the day’s experiment. “I’m thinking of a rule which generates triples of integers,” he begins. “I’ll first give you one example of a triple conforming to the rule. Then, you must propose additional triples, and I’ll give immediate feedback: yes or no. You must try to guess the rule after submitting as few questions as possible. Ready?”

The experiment begins. “2, 4, 6.”

1. You: “4, 6, 8?” Experimenter: “Yes”.
2. You: “6, 8, 10?” Experimenter: “Yes”.
3. You: “10, 12, 14?” Experimenter: “Yes”.

“Ascending triples of consecutive even integers?” you blurt out. “No. Ascending sequences in general,” the experimenter responds, as he leans back and disdainfully scribbles something on his board. You’ve been defeated. Continue reading

# Wild Grammar

1. Wild Grammar; 2. Combinatorial Grammar; 3. Pragmatic Grammar

“Isn’t it true that example-sentences that people that you know produce are more likely to be accepted?” – De Roeck et al., 1982 [1]

“The man the dog the cat scratched bit died.” – Dan Scherlis, a former linguistics classmate of my mother

# An Investigation

Chomsky first articulated the distinction between grammaticality and what he called performance. Making a grammatical sentence is one thing. Transmitting it successfully is another, and many potential obstacles – from distracting noise to the capacity of the human mind – can get in our way.

In particular, certain sentences are grammatical, but effectively incomprehensible. These sentences are typically complex, and they might contain intricately nested clauses and phrases. The capacity of our minds is limited. Language’s capacity for recursion is not. Who could be surprised that space eventually runs out? (The two sentences above contain double center embeddings, which are notoriously difficult to parse.)

Some sentences, though, feature an inscrutability difficult to explain on account of their complexity alone. Continue reading