Construct · 3 fields · 3 citations

Where does accumulation collide?

One name. Different field. Different construct. One map.

● jingle · one word, three constructs Nearest construct by meaning·not indexed
accumulation3 CONSTRUCTSCapital accumulationSOLOW · 1956Accumulation pointRUDIN · 1976Evidence accumulationGOLD & SHADLEN · 2007

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1956Capital accumulation1976Accumulation point2007Evidence accumulation
2026

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Economics

Piling up capital to drive growth

In economics, capital accumulation is the buildup of a society's stock of productive capital through saving and investment, and it is the central engine of output growth in classical growth models. Solow's 1956 A contribution to the theory of economic growth showed how accumulation raises output per worker but runs into diminishing returns, so that sustained long-run growth must come from technical progress rather than accumulation alone. The referent is the growth of a capital stock over time, measured in investment and capital per worker, unrelated to a neuron's evidence tally or a topological limit point beyond the shared idea of building up.[1]

Unit
The growth of the capital stock through saving and investment
Recovery means
Not applicable
Measured by
Measured by investment rates and by capital per worker over time

Mathematics

a point every neighbourhood of which contains infinitely many points of a set, also called a limit point.

In mathematical analysis, an accumulation point (or limit point) of a set is a point every neighbourhood of which contains infinitely many points of the set, so the set 'piles up' arbitrarily close to it even if the point itself is not a member. Rudin's 1976 Principles of Mathematical Analysis develops the notion as a foundation for limits, closure, and compactness. The referent is a point of infinite nearby crowding in a topological space, a static structural property with nothing in common with capital or neural evidence beyond the word for piling up.[2]

Unit
A point with infinitely many set members in every neighbourhood
Recovery means
Not applicable
Measured by
Determined by whether every neighbourhood of the point meets the set in infinitely many points

Decision neuroscience

Tallying evidence until it hits a bound

In decision neuroscience, evidence accumulation is the process by which the brain adds up noisy sensory evidence over time in favour of competing choices and commits once the running total reaches a decision bound, trading speed against accuracy. Gold and Shadlen's 2007 The neural basis of decision making reviews how the firing of parietal and prefrontal neurons ramps up in step with accumulating evidence until a threshold triggers the choice. The referent is a neural integration of evidence to a bound, measured by the rate of the ramp and the time to decide, a different construct from capital buildup or a limit point.[3]

Unit
The running total of evidence integrated toward a decision bound
Recovery means
Not applicable
Measured by
Inferred from ramping neural firing rates and from drift-diffusion fits to choices and reaction times

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Nearby collisions

growth4 fields · 4 citationsjingle · one word, four constructssteady state3 fields · 3 citationsinvariant · one construct, three systemsablation3 fields · 3 citationsjingle · one word, three constructs

References

  1. Solow, R. M. (1956). A contribution to the theory of economic growth. The Quarterly Journal of Economics, 70(1), 65–94. https://doi.org/10.2307/1884513
  2. Rudin, W. (1976). Principles of mathematical analysis (3rd ed.). McGraw-Hill. ISBN 9780070542358
  3. Gold, J. I., & Shadlen, M. N. (2007). The neural basis of decision making. Annual Review of Neuroscience, 30, 535–574. https://doi.org/10.1146/annurev.neuro.29.051605.113038

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