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Taxonomy vs Bijection - What's the difference?

taxonomy | bijection |

As nouns the difference between taxonomy and bijection

is that taxonomy is the science or the technique used to make a classification while bijection is (set theory) a one-to-one correspondence, a function which is both a surjection and an injection.

taxonomy

Noun

(taxonomies)
  • The science or the technique used to make a classification.
  • A classification; especially , a classification in a hierarchical system.
  • (taxonomy, uncountable) The science of finding, describing, classifying and naming organisms.
  • Synonyms

    * alpha taxonomy

    Derived terms

    * folk taxonomy * scientific taxonomy

    See also

    * classification * rank * taxon * domain * kingdom * subkingdom * superphylum * phylum * subphylum * class * subclass * infraclass * superorder * order * suborder * infraorder * parvorder * superfamily * family * subfamily * genus * species * subspecies * superregnum * regnum * subregnum * superphylum * phylum * subphylum * classis * subclassis * infraclassis * superordo * ordo * subordo * infraordo * taxon * superfamilia * familia * subfamilia * ontology

    bijection

    Noun

    (en noun)
  • (set theory) A one-to-one correspondence, a function which is both a surjection and an injection.
  • * 2002 , Yves Nievergelt, Foundations of Logic and Mathematics , page 214,
  • The present text has defined a set to be finite if and only if there exists a bijection' onto a natural number, and infinite if and only if there does not exist any such ' bijection .
  • * 2007 , C. J. Date, Logic and Databases: The Roots of Relational Theory , page 167,
  • Note in particular that a function is a bijection if and only if it's both an injection and a surjection.
  • * 2013 , William F. Basener, Topology and Its Applications , unnumbered page,
  • The basic idea is that two sets A and B have the same cardinality' if there is a '''bijection''' from A to B. Since the domain and range of the '''bijection''' is not relevant here, we often refer to a '''bijection''' from A to B as a '''bijection between the sets''', or a ' one-to-one correspondence between the elements of the sets.

    Synonyms

    * (function that is both a surjection and an injection) one-to-one correspondence