Propositions as Intentions

Propositions as Types

Image factorizations in regular categories are stable under pullbacks, so they model a natural modal operator in dependent type theory. This unary type constructor [A] has turned up previously in a syntactic form as a way of erasing computational content, and formalizing a notion of proof irrelevance. Indeed, semantically, the notion of a support is sometimes used as surrogate proposition asser...

Explorer Propositions as Types

Sessions as Propositions

Recently, Wadler presented a continuation-passing translation from a session-typed functional language, GV, to a process calculus based on classical linear logic, CP. However, this translation is one-way: CP is more expressive than GV. We propose an extension of GV, called HGV, and give translations showing that it is as expressive as CP. The new translations shed light both on the original tra...

Propositions as Cognitive Acts

Scott Soames My topic is the concept of information needed in the study of language and mind. It is widely acknowledged that knowing the meaning of an ordinary declarative sentence, or the content of a representational mental state, involves knowing which things it represents as being which ways. Knowing this gives one knowledge of the truth conditions of the sentence or state, which are ways t...

Propositions as semantic pretense

Our linguistic and inferential practices are said to implicate a kind of abstract object playing various roles traditionally attributed to propositions, and our predictive and explanatory success with this ‘‘proposition-talk’’ is held to underwrite a realistic interpretation of it. However, these very same practices pull us in different directions regarding the nature of propositions, frustrati...