multiplier
Let an agent explain the multiplier in arithmetic and its extended uses as scale factor and economic multiplier, support calculations and interpretation, distinguish senses across fields, and support learning.
Bundle → Layer → Finding → Questions Filled
4 bundles · 8 layers · 8 findings · 16 questions
Understand What a multiplier is.
Concept
Arithmetic concept.
Concept
Concept.
- What is the multiplier in multiplication, and how do multiplier, multiplicand and product relate? definition
- Which sense of multiplier is meant? boundary
Scale
Scale factors.
Scale
Scale.
- How do scale factors work in geometry, maps and simulation time scaling? definition
- Which entry fits scale? action
Apply Calculation and use.
Calculate
Calculating.
Calculate
Calculation.
- How can a quantity be scaled by this multiplier, and how are scale factors combined? action
- Which entry fits proportion? action
Games
Games and scoring.
Games
Games.
- How are multipliers used in scoring systems and games? provenance
- Which entry fits game design? action
Economics Economic multiplier.
Concept
The economic multiplier.
Concept
Concept.
- What is the economic multiplier, and how is it estimated, with positions attributed? provenance
- Which findings are contested? boundary
Policy
Policy use.
Policy
Policy.
- How are multipliers used in fiscal policy debates, with positions attributed? provenance
- Is the presentation neutral? boundary
Learn Teaching.
Teach
Teaching.
Teach
Teaching.
- How can multiplication and scaling be taught? action
- Which misconceptions arise? provenance
History
History.
History
History.
- How did the terminology of multiplication develop? provenance
- Which references are standard? provenance
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- noun.quantity
- Plane
- XCT
- Domain
- XCT.QTY
- Facets: substance
- abstract
- Facets: origin
- conceptual
- Facets: agency
- inert
- Facets: mobility
- not-applicable
- Facets: scale
- not-applicable
- Facets: affordances
- observable
- Other names and narrower kinds
- multiplier factor, scale factor, time-scale factor
What it is Filled
The number by which a multiplicand is multiplied to give a product, and by extension any factor that scales a quantity, such as a scale factor in geometry and maps, a time-scale factor in simulation, a multiplier in economics that relates a change in output to an initial change in spending and can be less than one, and multipliers in games and scoring; the multiplier is a basic concept of arithmetic that recurs wherever quantities are scaled.
Why it exists Filled
Let an agent explain the multiplier in arithmetic and its extended uses as scale factor and economic multiplier, support calculations and interpretation, distinguish senses across fields, and support learning.
Distinguishing features Filled
- Scaling role
- Commutative with multiplicand
- Field-specific senses
- Dimensionless in scaling
What robots and AI may and may not do Filled
Must not
- Confuse multiplier and multiplicand where it matters.
- Present a single economic multiplier estimate as certain.
- Use multiplier claims to mislead the public about policy.
- Confuse senses across fields.
Only with a human decision
- Using a multiplier estimate in a budget or policy decision.
May
- Explain the multiplier in arithmetic and as scale factor or economic multiplier, naming the sense.
- Support calculations, stating units.
- Present economic multiplier estimates with sources and ranges.
Moral aspects Filled
- Overstated multipliers justify wasteful spending.
- Help with learning should build understanding.
Who is affected
- Taxpayers
- Students
- Policy makers
Owners Filled
Steward
Nobody: a concept held in common.
Links to other meta-models Filled
parent
- oewn-13603216-n - registry parent class
related
- number - category
- remainder - another arithmetic concept
- trillion - large numbers as multipliers of units
- economist - analysts of economic multipliers
What else AI and robots need to interact with it Filled
Identity and identifiers required Filled
- Vercy registry: vr.tr.multiplier
- Open English WordNet: oewn-13755958-n
Direct properties not applicable Not applicable
Not applicable
Plane XCT: no invented physical properties.
Recognition optional Filled
- Number multiplying a multiplicand
- Scale factors, economic multipliers, game multipliers
- The multiplicand is what is multiplied; the product is the result; a divisor divides
- Not physical; a number.
Capabilities and actions required Filled
- explain the arithmetic concept
- describe extended uses
- support calculations
- support learning
Hazards and failure modes required Filled
- Confusing multiplier and multiplicand
- Confusing senses across fields
- Overstating economic multiplier estimates
Standards and interfaces required Filled
- Mathematical notation conventions
- Curriculum standards for arithmetic
- No regulation of the concept
Context of use required Filled
- The factor that scales a quantity.
- multiplier in arithmetic
- scale factors in geometry and maps
- time-scale factors in simulation
- economic multipliers
- multipliers in games and scoring
Sources Filled
- Open English WordNet 2024, synset oewn-13755958-n - sense and gloss of the concept
- Wiktionary: multiplier - word senses and usage
Open questions
- Should the economic multiplier be a separate entry?
- How should textbooks be linked?
- How should economic estimates be attributed?
Machine files
Provenance
thing registry research (pass 2) · unreviewed
Built from: models/things/publications/thing-multiplier/spec.json