ABSTRACT

Key concepts: lalangue, the logic of the fantasy, a grammar and logic that cannot be ‘arithmetized’

Lacan says that lalangue comes in pieces or slices of the Real. With Lacan, we understand lalangue as the language of the Real as opposed to language as the language of the Symbolic.

The unconscious has logic built into its structure. The axioms of grammar in the unconscious are not logically derived but must be proven nonetheless in clinical practice. Arithmetic has a logic: addition, subtraction, multiplication, and division. But not every logic can be ‘arithmetized’, because logic is not arithmetical, although arithmetic is logically organized.