ශුද්ධාංක

ශුද්ධාංක යනු වස්තූන්, පුද්ගලයන් හෝ දේවල් ගණ්න් කිරීම සඳහා භාවිතා වන මූලික සංඛ්‍යා වෙයි. ගණිතයේ දී, කුලකයක කාඩිනලිටි ගණනය සඳහා භාවිතා වන සංඛ්‍යා, එනම් කුලකයක අවයව ගණන දක්වන සංඛ්‍යා ය. .

නම

ඉංග්‍රීසි බසින් ශුද්ධාංක, cardinal numbers හෝ කෙටියෙන් cardinal ලෙස හැඳිවෙයි.

අමතර අවධානයට

සටහන්

මූලාශ්‍ර

බාහිර සබැඳි

"Cardinal number", Encyclopedia of Mathematics, EMS Press, 2001, https://www.encyclopediaofmath.org/index.php?title=Cardinal_number

v t e Number systems
Sets of definable numbers	Natural numbers ( $\mathbb {N}$ ) Integers ( $\mathbb {Z}$ ) Rational numbers ( $\mathbb {Q}$ ) Constructible numbers Algebraic numbers ( $\mathbb {A}$ ) Closed-form numbers Periods Computable numbers Arithmetical numbers Set-theoretically definable numbers Gaussian integers
Composition algebras	Division algebras: Real numbers ( $\mathbb {R}$ ) Complex numbers ( $\mathbb {C}$ ) Quaternions ( $\mathbb {H}$ ) Octonions ( $\mathbb {O}$ )
Split types	Over $\mathbb {R}$ : Split-complex numbers Split-quaternions Split-octonions Over $\mathbb {C}$ : Bicomplex numbers Biquaternions Bioctonions
Other hypercomplex	Dual numbers Dual quaternions Dual-complex numbers Hyperbolic quaternions Sedenions ( $\mathbb {S}$ ) Split-biquaternions Multicomplex numbers Geometric algebra/Clifford algebra Algebra of physical space Spacetime algebra
Other types	Cardinal numbers Extended natural numbers Irrational numbers Fuzzy numbers Hyperreal numbers Levi-Civita field Surreal numbers Transcendental numbers Ordinal numbers p-adic numbers (p-adic solenoids) Supernatural numbers Superreal numbers Normal numbers
Classification List

v t e කුලක වාදය
Overview	Set (mathematics)
Axioms	Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality Infinity Limitation of size Pairing Power set Regularity Union Martin's axiom Axiom schema replacement specification
Operations	Cartesian product Complement (i.e. set difference) De Morgan's laws Disjoint union Identities Intersection Power set Symmetric difference Union
Concepts Methods	Almost Cardinality Cardinal number (large) Class Constructible universe Continuum hypothesis Diagonal argument Element ordered pair tuple Family Forcing One-to-one correspondence Ordinal number Set-builder notation Transfinite induction Venn diagram
Set types	Amorphous Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset • Superset Transitive Uncountable Universal
Theories	Alternative Axiomatic Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley Kripke–Platek Tarski–Grothendieck
Paradoxes Problems	Russell's paradox Suslin's problem Burali-Forti paradox
Set theorists	Paul Bernays Georg Cantor Paul Cohen Richard Dedekind Abraham Fraenkel Kurt Gödel Thomas Jech John von Neumann Willard Quine Bertrand Russell Thoralf Skolem Ernst Zermelo