hi:category_theory

In ontology, the theory of categories concerns itself with the categories of being: the highest genera or kinds of entities according to Amie Thomasson. To investigate the categories of being, or simply categories, is to determine the most fundamental and the broadest classes of entities. A distinction between such categories, in making the categories or applying them, is called an ontological distinction. Various systems of categories have been proposed, they often include categories for substances, properties, relations, states of affairs or events. A representative question within the theory of categories might articulate itself, for example, in a query like, Are universals prior to particulars?

Ontology is the philosophical discipline studying the nature and types of existence. Singular existence is the existence of individual entities while general existence refers to the existence of concepts or universals.

  • concerning the description whether it is a category which is
  • Concerning the understanding of what a concept is according to contemporary philosophy [1]
    • Concepts as mental representations, where concepts are entities that exist in the mind (mental objects)
    • Concepts as abilities, where concepts are abilities peculiar to cognitive agents (mental states)
    • Concepts as Fregean senses , where concepts are abstract objects, as opposed to mental objects and mental states.
  • Concerning the predicament of priori and posteriori
    • experience , discovery , invention , inspiration
    • mathematical understanding , logic , reason , geometry
  • Space

SINGULAR AND GENERAL EXISTENCE

Singular existence is the existence of individual entities while general existence refers to the existence of concepts or universals.

PHYSICAL AND MENTAL EXISTENCE

In contemporary philosophy, there are at least three prevailing ways to understand what a concept is:

ABSTRACT AND CONCRETE

Entities present in space and time have concrete existence in contrast to abstract entities, like numbers and sets. The type–token distinction identifies physical objects that are tokens of a particular type of thing. The type of which it is a part is in itself an abstract object. The abstract–concrete distinction is often introduced and initially understood in terms of paradigmatic examples of objects of each kind:

In metaphysics, a universal is what particular things have in common, namely characteristics or qualities. In other words, universals are repeatable or recurrent entities that can be instantiated or exemplified by many particular things. For example, suppose there are two chairs in a room, each of which is green. These two chairs share the quality of chairness, as well as greenness or the quality of being green; in other words, they share two universals. There are three major kinds of qualities or characteristics: types or kinds (e.g. mammal), properties (e.g. short, strong), and relations (e.g. father of, next to). These are all different types of universals.

  • INDEFINITE UNIVERSAL CATEGORY
  • DEFINITE UNIVERSAL CATEGORY
INDEFINITE UNIVERSAL CATEGORY SEMANTIC PRIMES DEFINITE CATEGORY
Substantives I, you, someone, people, something/thing, body
Relational Substantives kind, part
Determiners this, the same, other~else~another
Indefinite quantity Quantifiers one, two, some, all, much/many, little/few
Evaluators good, bad
Descriptors big, small
Mental predicates think, know, want, don't want, feel, see, hear
Indefinite Voice Speech say, words, true
Indefinite action Actions, Events, Movement do, happen, move
Existence, Possession be (somewhere), there is, be (someone/something), (is) mine
Indefinite energy Life and Death live, die
Indefinite time Time when/time, now, before, after, a long time, a short time, for some time, moment
Indefinite space Space where/place, here, above, below, far, near, side, inside, touch (contact)
Indefinite logic Logical Concepts not, maybe, can, because, if
Intensifier, Augmentor very, more
Similarity like/as/way
CATEGORY SEMANTIC MOLECULES
Body parts hands, mouth, eyes, head, ears, nose, face, teeth, fingers, breast, skin, bones, blood
Physical long, round, flat, thin, hard, soft, sharp, smooth, heavy
Biosocial children, men, women, be born, mother, father, wife, husband
INDEFINITE CATEGORY DEFINITE CATEGORY
अनिश्चित दिक् ( Indefinite space) निश्चित दिक् (Definite space
अनिश्चित लंबाई (Indefinite length) निश्चित लंबाई (लंबमान ) Definite length / meter
अनिश्चित आकार ( Indefinite form) निश्चित आकार Definite form / Geometricality (रूपमान)
अनिश्चित स्थान (Indefinite place) निश्चित स्थान (Definite place ) / निर्देशांक (coordinates)
अनिश्चित केंद्र (Indefinite center or origin) अनिश्चित केंद्र (Definite center or origin
अनिश्चित या अनंत ब्रह्मांड (Indefinite or Infinite Universe) Definite universe or known universe
अनिश्चित मन (Indefinite or Infinite Mind) निश्चित मन (Definite Mind or Science)
अनिश्चित अर्थ या इंद्रियाबोध ( Indefinite sense ) निश्चित इंद्रियबोध (Definite sense)
अनिश्चित द्रव्य ( Indefinite mass) अनिश्चित द्रव्य या द्रव्यमान (Definite mass / gram )
अनिश्चित पदार्थ ( Indefinite substance) निश्चित पदार्थ (Definite substance)
अनिश्चित मात्रा ( Indefinite quantity) निश्चित मात्रा (Definite quantity / Numericality)
अनिश्चित मूल्य ( Indefinite value) निश्चित मूल्य (Definite value)
अनिश्चित सर्वनाम (Indefinite pronouns) निश्चित नाम ( unique name or ID self )
अनिश्चित समय (Indefinite time) निश्चित समय / second
अनिश्चित गुण (INDEFINITE QUALITIES)
अनिश्चित ऊर्जा ( Indefinite energy) शक्तिमान
अनिश्चित ताप (Indefinite temperature) निश्चित तापमान (definite temperature )
अनिश्चित विद्युत ( Indefinite current)
Indefinite luminosity
अनिश्चित ध्वनि ( Indefinite sounds )
VECTOR QUANTITY
अनिश्चित गति ( Indefinite motion) Definite motion / meter per second
अनिश्चित क्रिया (Indefinite action ) Definite action
REFERENCE
अनिश्चित भाषा ( Indefinite language) Definite language
Indefinite symbols or characters Real structures
अनिश्चित स्वर ( Indefinite Voice) Definite voice
  • relative action and motion
  • relative velocity
  • social relations
  • Variables
    • unknown variable
    • known variable
  • parameter
    • known
    • unknown
  • known
    • indefinite
    • definite
  • unknown
    • indefinite , doubtful , suspicion
    • definite parameter

1) Eric Margolis; Stephen Lawrence. Concepts. Stanford Encyclopedia of Philosophy. Metaphysics Research Lab at Stanford University. Retrieved 6 November 2012.
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  • hi/category_theory.txt
  • 2024/06/15 16:14
  • brahmantra