## Traditional logic, modern logic and natural language

Citations: | 6 - 6 self |

### BibTeX

@MISC{Hodges_traditionallogic,,

author = {Wilfrid Hodges and Devon Ex Py},

title = {Traditional logic, modern logic and natural language},

year = {}

}

### OpenURL

### Abstract

DRAFT June 2009. The paper is for a Festschrift and this draft has removed a number of personal references. 1 The questions... Wikipedia [38] defines: traditional logic is ‘a loose name for the way of doing logic that began with Aristotle, and that was dominant until the advent of modern predicate logic in the late nineteenth century’. It is of great interest to place the transitions between traditional and modern logic. In this paper I will say where I think the main differences lie. In my last section I will comment on... the relationship between some traditional argument forms and natural language argument. The strength of traditional logic is sometimes measured in terms of the valid inference patterns that it recognises. Among other patterns: (1) “Some P R all Q ” implies “All Q are R-ed by some P ”. and the pattern behind some inferences that De Morgan studied: (2) “All horses are animals. So, all horse tails are animal tails.”. This is not a new measure; it was widely used in the mid 20th century