[...] we formally define a deduction as a continued analysis or an analysis complex with determination between the analyses that enter therein.
- Hjelmslev (1961), a pag.31

A procedure can [...] among other things, either consist of analyses and be a deduction, or, on the other hand, consist of ‘syntheses’ and be an ‘induction’.
- Hjelmslev (1961), a pag.31

Our only possible procedure, if we wish to order a system to the process of that text [the as yet unanalyzed text], will be an analysis, in which the text is regarded as a class analyzed into components, then these components as classes analyzed into components, and so on until the analysis is exhausted. This procedure may therefore be defined briefly as a progression from class to component [...]. In recent linguistics [...] this method of procedure or an approximation thereto has been designated by the word ‘deduction’.
- Hjelmslev (1961), a pag.12-13