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Metacategory


metacategory in nLab

Saunders Mac Lane uses the term 'metacategory' to mean any model of the first-order theory of categories, and reserves the word 'category' for a metacategory.

Metacategory vs category - Mathematics Stack Exchange

1 Answer 1 ... What Mac Lane calls a metacategory is any model of the axioms of category, whether these are sets are not. So, if the objects don't ...

Definition:Metacategory - ProofWiki

A metacategory is a metagraph subject to extra restrictions. As such, a metacategory C consists of: The morphisms of C are subjected to:

Definition of category vs. metacategory. : r/learnmath - Reddit

The distinction being made is primarily one of size and the resulting technicalities that occur when one considers things that are not sets.

Metacategory | WordReference Forums

A metacategory is a category that includes, or perhaps describes, other categories. I have no idea what that means.

[2403.19689] Metacategory and Geometric Algebras - arXiv

We can consider any category as an abstract geometric object, that is, a discrete space where the points are the objects of this category and arrows between ...

Meta Category - b2evolution

Meta Category. A Meta Category is a particular type of Category used to "categorize categories". More pragmatically, a Meta Category can contain ...

notes on: Categories for the Working Mathematician - RBJones.com

Essentially, a metacategory is a graph with an associative operation of composition and an identity operator (which yields an identity under composition). He ...

Category Theory 1.1 : Introduction to Categories/Metacategories

In this video, I introduce the ideas behind categories and metacategories; specifically their axioms and how they relate to the many ...

MetaCategory - Inductive Automation

Class MetaCategory · Nested Class Summary · Nested classes/interfaces inherited from class javax. · Nested classes/interfaces inherited from class javax. · Nested ...

Definition talk:Metacategory - ProofWiki

Multiple definitions. I would like to add at least two other definitions of metacategory. ... Metacategory (Theakston's Derivation)" etc. We have some instances ...

Metacategory and Geometric Algebras - arXiv

Any category is a specific (particular) collection of the objects and the arrows (morphisms). A category is connected if it is possible to go from any object to ...

What is a "meta category" - Holland America Line - Cruise Critic

It means that you would move from your inside room on the lowest deck to an inside room on the deck above you, called an 'up'grade.

Template:Metacategory - DDO wiki

Metacategories are top level categories and should only contain subcategories. If you see any page that's not a subcategory listed in this ...

Should we have a "META" category? - Julia Discourse

Should we have a “META” category to discuss this discussion forum, announce new categories, guidelines, etc? I want to follow new categories ...

Category:Meta categories - Wikimedia Commons

Metacats with no criterion parameter (empty) · Double meta categories (7643 C, 5 P) · Triple meta categories (53 C) · Flat categories (70 C, 1 P) ...

How Meta Uses Legal Bases for Processing Ads in the EU - Facebook

We are announcing our intention to change the legal basis that we use to process certain data for behavioural advertising for people in the EU, EEA and ...

About the Meta category - Rubin Observatory LSST Community forum

Discussion about this community forum, its organization, how it works, and how we can improve it. Tips on getting help with the site Mark ...

Meta:Categories

Wikimedia world · Community: lists of people, social stuff - everything which deals with the people involved in this project · Issues: any issue that isn't ...

Meta Definition & Meaning - Merriam-Webster

The meaning of META is showing or suggesting an explicit awareness of itself or oneself as a member of its category : cleverly self-referential.