The Emergence Machine

Mathematical Operations

abstract · mathematics · Level 5 · E10

E10Institutions

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

A set of rules and procedures for manipulating numbers, quantities, and symbols to produce new values or relationships, serving as the foundation for various mathematical operations, by organizing and structuring the interactions between quantities, as understood in the concept of rule, and the measurable magnitudes and amounts, as understood in the concept of quantity.

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Wiktionary senses

External reference — all senses of the word “mathematical operations” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “mathematical operations”. Content available under CC BY-SA 4.0.

Historical origin

Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL5L4L3L2L1L0Mathematical Ope…NumberBuildingRuleFormOperationStructureActionMatterProcedureQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

thisprerequisitesMathematical Ope…L5ProcedureL1QuantityL1RuleL3NumberL4E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Procedure L1 (requires)
    A set of rules and procedures for manipulating numbers, quantities, and symbols to produce new values or relationships, serving as the foundation for various mathematical operations.
  • Quantity L1 (requires)
    A set of rules and procedures for manipulating numbers, quantities, and symbols to produce new values or relationships, serving as the foundation for various mathematical operations, requires an understanding of quantity to define numbers and their manipulation.
  • Rule L3 (requires) polysemous
    A set of rules and procedures for manipulating numbers, quantities, and symbols to produce new values or relationships, serving as the foundation for various mathematical operations.
  • Number L4 (requires) polysemous
    A set of rules and procedures for manipulating numbers, quantities, and symbols to produce new values or relationships, serving as the foundation for various mathematical operations.