Generative syntax

Empty category

In linguistics, an empty category, which may also be referred to as a covert category, is an element in the study of syntax that does not have any phonological content and is therefore unpronounced. Empty categories exist in contrast to overt categories which are pronounced. When representing empty categories in tree structures, linguists use a null symbol (∅) to depict the idea that there is a mental category at the level being represented, even if the word(s) are being left out of overt speech. The phenomenon was named and outlined by Noam Chomsky in his 1981 LGB framework, and serves to address apparent violations of locality of selection — there are different types of empty categories that each appear to account for locality violations in different environments. Empty categories are present in most of the world's languages, although different languages allow for different categories to be empty. (Wikipedia).

Empty category
Video thumbnail

Category Theory 1.2: What is a category?

What is a Category?

From playlist Category Theory

Video thumbnail

Empty Graph, Trivial Graph, and the Null Graph | Graph Theory

Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a

From playlist Graph Theory

Video thumbnail

Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition

The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this

From playlist Set Theory

Video thumbnail

Empty Set vs Set Containing Empty Set | Set Theory

What's the difference between the empty set and the set containing the empty set? We'll look at {} vs {{}} in today's set theory video lesson, discuss their cardinalities, and look at their power sets. As we'll see, the power set of the empty set is our friend { {} }! The river runs peacef

From playlist Set Theory

Video thumbnail

Derived Categories part 1

We give a buttload of definitions for morphisms on various categories of complexes. The derived category of an abelian category is a category whose objects are cochain complexes and whose morphisms I describe in this video.

From playlist Derived Categories

Video thumbnail

Categories 6 Monoidal categories

This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super

From playlist Categories for the idle mathematician

Video thumbnail

Category Theory 2.1: Functions, epimorphisms

Functions, epimorphisms

From playlist Category Theory

Video thumbnail

Does space mean emptiness? How do you describe it?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Physics

Video thumbnail

Category Theory 4.1: Terminal and initial objects

Terminal and initial objects

From playlist Category Theory

Video thumbnail

Category Theory 9.1: Natural transformations

Natural transformations

From playlist Category Theory

Video thumbnail

Serge Bouc: Correspondence functors

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

Video thumbnail

Category Theory 2.2: Monomorphisms, simple types

Monomorphisms, simple types.

From playlist Category Theory

Video thumbnail

Oscar Randal Williams: Moduli spaces of manifolds (part 3)

The lecture was held within the framework of the Hausdorff Trimester Program: Homotopy theory, manifolds, and field theories and Introductory School (05.05.2015)

From playlist HIM Lectures 2015

Video thumbnail

Duality In Higher Categories IV by Pranav Pandit

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

Video thumbnail

Ilka Brunner - Truncated Affine Rozansky-Witten Models as Extended TQFTs

Mathematicians formulate fully extended d-dimensional TQFTs in terms of functors between a higher category of bordism and suitable target categories. Furthermore, the cobordism hypothesis identifies the basic building blocks of such TQFTs. In this talk, I will discuss Rozansky Witten model

From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday

Video thumbnail

Mark Balaguer - What Are the Things of Existence?

How many different kinds of 'things' are there? What are the fewest number of things that can characterize existence and do so exhaustively? In other words, what are the most basic building blocks of everything we see and know? From what things can all that exists be constructed? Are thing

From playlist Exploring Metaphysics - Closer To Truth - Core Topic

Video thumbnail

Math 101 Fall 2017 112917 Introduction to Compact Sets

Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi

From playlist Course 6: Introduction to Analysis (Fall 2017)

Video thumbnail

Jason Parker - Covariant Isotropy of Grothendieck Toposes

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/ParkerSlidesToposesOnline.pdf Covariant isotropy can be regarded as providing an abstract notion of conjugation or i

From playlist Toposes online

Related pages

Trace (linguistics) | R-expression | Determiner phrase | X-bar theory | Coreference | Minimalist program | Anaphora (linguistics) | Government and binding theory | Deep structure and surface structure | Binding (linguistics) | Generalized quantifier | Wh-movement | Locality (linguistics) | Subject–auxiliary inversion