For faster navigation, this Iframe is preloading the Wikiwand page for Transparent intensional logic.

Transparent intensional logic

From Wikipedia, the free encyclopedia

This article relies too much on references to primary sources. Please improve this by adding secondary or tertiary sources. (February 2014) (Learn how and when to remove this template message)

Transparent intensional logic (frequently abbreviated as TIL) is a logical system created by Pavel Tichý. Due to its rich procedural semantics TIL is in particular apt for the logical analysis of natural language. From the formal point of view, TIL is a hyperintensional, partial, typed lambda calculus.

TIL applications cover a wide range of topics from formal semantics, philosophy of language, epistemic logic, philosophical, and formal logic. TIL provides an overarching semantic framework for all sorts of discourse, whether colloquial, scientific, mathematical or logical. The semantic theory is a procedural one, according to which sense is an abstract, pre-linguistic procedure detailing what operations to apply to what procedural constituents to arrive at the product (if any) of the procedure.

TIL procedures, known as constructions, are hyperintensionally individuated. Construction is the single most important notion of transparent intensional logic, being a philosophically well-motivated and formally worked-out conception of Frege’s notion of mode of presentation. Constructions, and the entities they construct, are organized into a ramified type theory incorporating a simple type theory. The semantics is tailored to the hardest case, as constituted by hyperintensional contexts, and generalized from there to intensional and extensional contexts. The underlying logic is a Frege-style function/argument one, treating functions, rather than relations or sets, as primitive, together with a Church-style logic, centred on the operations of functional abstraction and application.

Key constraints informing TIL approach to semantic analysis are compositionality and anti-contextualism. The assignment of constructions to expressions as their meanings is context-invariant. Depending on the sort of logical context in which a construction occurs, what is context-dependent is the logical manipulation of the respective meaning itself rather than the meaning assignment.

See also


  • P. Tichý (1988): The Foundations of Frege's Logic. De Gruyter, Berlin and New York 1988, 333 pp.
  • M. Duží, B. Jespersen and P. Materna: Procedural Semantics for Hyperintensional Logic. Foundations and Applications of TIL. Springer, 2010.
{{bottomLinkPreText}} {{bottomLinkText}}
Transparent intensional logic
Listen to this article

This browser is not supported by Wikiwand :(
Wikiwand requires a browser with modern capabilities in order to provide you with the best reading experience.
Please download and use one of the following browsers:

This article was just edited, click to reload
This article has been deleted on Wikipedia (Why?)

Back to homepage

Please click Add in the dialog above
Please click Allow in the top-left corner,
then click Install Now in the dialog
Please click Open in the download dialog,
then click Install
Please click the "Downloads" icon in the Safari toolbar, open the first download in the list,
then click Install

Install Wikiwand

Install on Chrome Install on Firefox
Don't forget to rate us

Tell your friends about Wikiwand!

Gmail Facebook Twitter Link

Enjoying Wikiwand?

Tell your friends and spread the love:
Share on Gmail Share on Facebook Share on Twitter Share on Buffer

Our magic isn't perfect

You can help our automatic cover photo selection by reporting an unsuitable photo.

This photo is visually disturbing This photo is not a good choice

Thank you for helping!

Your input will affect cover photo selection, along with input from other users.