Pennings, A.J. (2026, Feb 15) The Ghost in the Grid: Interpretants and Calculable Traces in Spreadsheet Capitalism. apennings.com https://apennings.com/political-economy-of-media/the-ghost-in-the-grid-interpretants-and-calculable-traces-in-spreadsheet-capitalism/

Introduction

The spreadsheet, as a computational medium, transforms heterogeneous material realities into standardized, computable, symbolic inscriptions. To understand this transformation, semiotic theory offers two powerful but distinct conceptual tools — Charles Sanders Peirce’s notion of the interpretant and Jacques Derrida’s concept of the trace. While Peirce emphasizes the generative continuity of meaning through interpretive mediation, Derrida foregrounds the structural absence and deferral that inhabit all signification. Taken together, these frameworks illuminate how the numbers and letters populating financial spreadsheets function as representations of the messy, contingent world.

This post is the second of my theoretical essays examining spreadsheets within the context of the semiotic lens of Peirce and Derrida. The previous essay explains some of the background that led me to these authors, while this one elaborates on and combines the two into a more descriptive and theoretical account of what I call “spreadsheet logic.”[1] With additional help from Jay Bolter and Richard Grusin (1999) and their theory of remediation, as well as Daniel Chandler (2007) and Mary Poovey’s (1998) historical framing, I expand the argument that these digital grids are not neutral tools but combinations of maps and generative engines. They transform “messy” material reality into standardized, computable symbols of meaning and productivity, while also concealing costs behind the numbers, such as unaccounted labor and environmental damage.

The Interpretant and the Processual Trajectory of Financial Meaning

Peirce’s semiotics is organized around a triadic relation between representamen (the sign vehicle), object (that which is represented), and interpretant (the effect or understanding produced by the sign).[2] Crucially, the interpretant is not a subjective mental impression alone but another sign that continues the process of semiosis. Meaning, for Peirce, is therefore not fixed but recursively generated through chains of interpretants.

Spreadsheets instantiate this triadic process in a technical register. A cell value like “4.85%” functions as a representamen standing in relation to an object such as an interest rate instrument. Its interpretant emerges when that value is incorporated into a formula, a risk model, or a trading algorithm. The spreadsheet operationalizes Peirce’s insight that meaning unfolds through structured mediation. Each recalculation produces new interpretants, which themselves become inputs for further interpretation. In this sense, the spreadsheet is a machine for continious semiosis, a recursive environment in which written and numerical signs continuously generate further signs for feats of analysis, decisions, and action.

Moreover, Peirce distinguishes among iconic, indexical, and symbolic modes of signification. Financial spreadsheet cells are governed by symbolic conventions (e.g., accounting standards, legal definitions of assets). Yet they retain indexical elements insofar as they are causally linked to data feeds, transactions, or reporting processes. The spreadsheet thus mediates between symbolic abstraction and indexical traceability, structuring the translation of events into calculable form.

Derrida’s Calculable Traces and the Digital Inscriptions of Material Realities

Where Peirce foregrounds continuity, Derrida emphasizes différance, the deferral and differentiation that make meaning possible.[3] The trace designates the structural absence inhabiting every sign where each mark carries within it the residue of other marks and the deferral of full presence. Meaning never coincides with a pure origin; it emerges from a play of differences within a system of writing.

Applied to spreadsheets, Derrida’s concept of the trace exposes the abstraction inherent in financial inscription. A cell under the category of “Revenue” appears to present an objective fact. Yet this figure is the sedimentation of countless prior operations, such as transactions, accounting conventions, regulatory definitions, and technological infrastructures. Each number is a trace, an inscription that stands in for an absent, complex material process. The spreadsheet grid effaces the labor, environmental extraction, and legal arrangements that underpin the figure. What appears as immediate presence is, in fact, the result of iterative substitution and deferral.

Derrida’s notion of iterability explains how financial signs circulate. It combines the concepts of iteration (repetition) and alterity (otherness/difference), meaning every repetition changes the sign’s meaning. For a yield, benchmark rate, or collateral designation to function globally, it must be repeatable across contexts. Iterability detaches signs from origin, enabling their mobility. Note that Derrida is operating at the level of ontological conditions of signification. I extend this analysis with Mary Poovey’s notion of abstraction and modern fact to consider the historical practices of representation (double-entry bookkeeping and statistical reporting) within political economy.

In this context, abstraction does not merely detach signs from origin; it selects certain features of reality as measurable (modern facts) and excludes others. It produces standardized formats and establishes epistemic credibility. For Poovey, abstraction is a method of representing reality that produces commensurability and authority applicable to spreadsheet capitalism. Abstraction produces rule. A eurodollar deposit circulates globally because it is iterable, it governs balance sheets because abstraction renders it commensurable and trustworthy.

The content of a spreadsheet cell does not present a transparent fact but a deferred inscription. The value “Revenue” or “Net Present Value” appears as presence, an objective datum, but is “in fact” a condensed trace of prior inscriptions. Each number appears as a discrete numerical presence but is, in this regard, the stabilized remainder of a vast chain of substitutions. The crisscrossing of spreadsheet meanings suppresses the heterogeneity of these processes, rendering them abstract and yet commensurable.

Derrida’s notion of différance, the dual process of differing and deferring (like an exchange of gifts), helps clarify how spreadsheet logic stabilizes and fixes meaning. Values differ within the grid (profit versus loss, asset versus liability), and their significance is deferred across time through projections, forecasts, and derivative pricing. The spreadsheet’s promise of synchronic (concurrent time) clarity conceals the temporal deferral embedded in every calculation. Each value carries the trace of past entries and anticipates future recalculations.

Derrida’s critique of the metaphysics of presence is particularly relevant to financial computation. The spreadsheet promises immediacy in real-time dashboards and synchronized global feeds, yet its operation depends on iterability, the repeatable inscription of signs. As Derrida argues, iterability both enables communication and disrupts any guarantee of stable reference.[4] In financial systems, the iterability of numbers allows them to circulate globally in synchronized networks as collateral, derivatives, or valuations, but at the cost of severing them from the material worlds they index. The trace thus names the structural gap between the spreadsheet’s apparent clarity and the complexity it displaces.

Remediation and the Logics of Digital Inscription

Media theorists extend these semiotic insights into the technological domain. Bolter and Grusin’s concept of remediation emphasizes how digital media refashion earlier representational forms into the new media while promising greater immediacy.[5] The spreadsheet remediates writing, the ledger, the table, and the accounting book, emphasizing balance and offering the appearance of direct access to economic reality while intensifying abstraction and calculation through algorithmic manipulation. What was once handwritten accounting becomes a dynamic grid of media and computational interpretants.

Daniel Chandler’s semiotic approach underscores that all representation involves selection and framing (2007).[6] The spreadsheet grid imposes a classificatory logic. Rows and columns enforce discrete categories, standardize units, and delimit what counts as relevant data. What cannot be discretized, important items like ecological degradation, informal labor, and political instability tend to be excluded or marginalized, unless explicitly included.[7] These codes constrain and guide interpretants, structuring how numerical signs are read and acted upon. Thus, the spreadsheet is not a neutral mirror of reality but a semiotic regime that structures visibility and action.

The spreadsheet, as an executable grid, embodies this shift. Its formulas do not merely represent relationships; they enact them. Calculation becomes performative, shaping the very markets it models.[8] In this sense, the spreadsheet is not only a semiotic apparatus of meaning registration, but a technical infrastructure that reorganizes economic temporality and spatiality (time-space power).

From Messy World to Calculable Grid

Integrating Peirce and Derrida within media theory reveals a double movement in spreadsheet capitalism. First, through Peircean interpretants, financial data participates in an expanding chain of computational meaning-making. Symbols generate further symbols in recursive cycles of valuation and risk assessment. Second, through Derridean traces, each symbol bears the mark of what has been abstracted away. Traces remain of the labor, resources, and uncertainties that exceed calculation.

The spreadsheet’s power lies in stabilizing this tension. It converts contingent, qualitative phenomena into discrete, iterable signs that can be computed and circulated across global networks. Yet these signs remain haunted by the traces of what they exclude. The “clean” grid is shadowed by messy worlds that cannot be fully inscribed within it.

Thus, numbers and letters in spreadsheets are not mere representations of economic reality; they are semiotic operators within a technologically mediated regime of abstraction. Peirce helps us see how meaning proliferates through structured interpretation, while Derrida reminds us that traces of absence and deferral haunt every inscription in a spreadsheet cell. Together, they clarify how spreadsheet capitalism depends on the continuous transformation of material complexity into differential symbols that both enable global coordination and conceal the conditions of their own production. In this sense, the spreadsheet is not only a semiotic apparatus but a technical infrastructure that reorganizes economic temporality and spatiality (Giddens’ time-space power).[9]

Bringing Peirce and Derrida together allows for a dual account of spreadsheet representation. From a Peircean perspective, spreadsheets are engines of dynamic semiosis, recursively generating interpretants that coordinate economic action. From a Derridean perspective, they are surfaces of traces, where abstraction conceals the absent material and social conditions of economic production and financial representation.

Conclusion

Within spreadsheet capitalism, a numerical cell stands for an object (e.g., a mortgage, bond, or commodity). Its interpretant emerges when that value is incorporated into formulas, risk models, or portfolio allocations. Each computational output becomes a new representamen in a cascading series of references.

Spreadsheets therefore function as machines of semiosis. They operationalize Peirce’s infinite interpretive chain by embedding it in formulaic recursion. Meaning is no longer merely cognitive; it is executable. Financial systems continuously generate interpretants at machine speed, transforming representation into automated decision-making.

Peirce’s semiotics explains how symbolic forms acquire dynamism and generativity. However, it does not by itself explain how signs detach from origins or acquire institutional authority. For that, Derrida and Poovey are required. The grid is both generative and reductive. It generates meaning through iterative computation while reducing heterogeneous realities to commensurable signs. Numbers and letters do not transparently mirror the world; they stand in for it through structured processes of mediation and deferral. Derrida destabilizes the possibility of full presence while Poovey analyzes how modern systems stabilize representation despite that instability. Derrida reveals the impossibility of pure origin. Poovey shows how institutions construct the appearance of factual stability.

Together they produce financial time-space power. Double-entry bookkeeping, statistical tables, and financial reporting did not merely record economic activity; they created authoritative representations that could govern. Abstraction made disparate activities comparable and thus administrable. Where Derrida shows that detachment is structurally inevitable, mobility without origin. Poovey reveals authority without material presence.

Understanding spreadsheet capitalism through interpretants and traces reveals its epistemological power. It is not simply that the world is represented numerically; rather, the world becomes governable insofar as it is rendered into chains of interpretants and stabilized traces within a programmable grid. Meaning, value, and risk emerge from this interplay of semiotic recursion and structural absence, a dynamic that underlies the financial synchronization of global markets.

The spreadsheet cell appears factual and neutral. Yet it is the product of selection, framing, and exclusion. What is excluded does not vanish; it persists as structural absence — as trace.

Time-space power depends on this process. Global liquidity requires detachment from origin (iterability), recursive reinterpretation (semiosis), and institutional stabilization (abstraction). Yet the more synchronized and abstract the system becomes, the more it depends upon what it excludes: ecological limits, labor precarity, geopolitical instability. These excluded elements are not outside the system. They haunt it. The ghost is what returns when abstraction overreaches.[10]

Notes

[1] Spreadsheet logic isn’t just “rows and columns” but rather it’s an epistemology for organizing, calculating, and governing flows of information and value. Core elements include 1) Gridmatic Representation – Data arranged into cells (addressable, modular, and combinable) that allow any cell to be recomputed dynamically. 2) Formula-Driven Causality – Links between cells create a visible chain of dependency (A1 changes ? recalculates D5). 3) Conditional Visibility – Filter, hide, pivot — turning complexity into selective, user-controllable transparency. 4) Live Recomputation – Instant revaluation of positions or metrics when a single variable changes (what-if scenarios become governance tools). 5) Integration Layer – Modern spreadsheets (Excel, Google Sheets, Aladdin dashboards) act as brokers between local models and real-time external feeds (Bloomberg API, Reuters, exchange tick data, ESG metrics).
[2] Peirce, C. S. (1931–1958). Collected Papers of Charles Sanders Peirce (C. Hartshorne, P. Weiss, & A. Burks, Eds.). Harvard University Press.
[3] Derrida, J. (1976). Of Grammatology (G. C. Spivak, Trans.). Johns Hopkins University Press and Derrida, J. (1982). Positions (A. Bass, Trans.). University of Chicago Press. The prompt I used was “Describe how Jacques Derrida 1982 book “Positions” used the notion of “trace” to refer to how writing replaces the world with abstracted signs. Also see Poovey, M. (1998). A History of Modern Fact: Problems of Knowledge in the Sciences of Wealth and Society. University of Chicago Press.
[4] Derrida, J. (1988). Limited Inc. Northwestern University Press. Derrida’s Limited Inc. (1988) serves as the critical bridge between “writing” and “execution.” While spreadsheets appear to be dynamic, real-time mirrors of the economy, Limited Inc. allows me to argue that they are actually systems of iterability that succeed only by severing themselves from the “messy” material world. Remediated spreadsheets promise the logic of immediacy, the real-time dashboards that supposedly show the “truth” of an economy. Limited Inc. shows that every calculation is a “deferral” (différance). The value of an asset in a cell isn’t a “thing”; it is a trace of past transactions and a projection of future ones. By exposing the “structural gap” between the grid and the reality it displaces, we can see the spreadsheet is a technical infrastructure of power, not just a ledger.
[5] Bolter and Grusin (1999) first allowed me to “crack the code” of the digital spreadsheet by showing how the spreadsheet is a constellation of previous media that combine in new ways to empower the grid of spreadsheet logic to produce a more “authentic” version of mediated reality. Bolter, J. David, and Richard Grusin. Remediation: Understanding New Media. Cambridge, MA: MIT Press, 1999.
[6] Daniel Chandler’s semiotic approach underscores that all representation involves selection and framing. See Chandler, Daniel. Semiotics: The Basics. 2nd ed. London: Routledge, 2007.
[7] Marilyn Waring’s classic If Women Counted (1988) bybook by New Zealand academic and former politician Marilyn Waring, provided a systematic critique of the UN system of national accounts, and challenged the international standard of measuring economic growth, that neglected women’s unpaid work as well as the value of the environment. She pointed to many resources that have been excluded from what counts as productive in the economy. https://www.roiw.org/1992/237.pdf
[8] Kittler (1999) argues that media determine situations. In digital finance, computation precedes interpretation. Signals are processed before they are understood. The spreadsheet is thus not merely representational but operative. It shapes markets through calculative execution. Kittler, F. (1999). Gramophone, Film, Typewriter. Stanford University Press.
[9] In accordance with Anthony Giddens’ theories of historical materialism and structuration, Spreadsheet capitalism’s semiotic substitution – symbolic computing – gridmatic telecommunications stack produces time-space power over human and material resources. Giddens, A. (1983) The Nation-State and Violence. (Berkeley, CA: University of California Press).
[10] The 2008 crisis revealed this ghost. When subprime mortgages were abstracted into AAA-rated securities. The underlying fragility remained invisible until it reasserted itself – violently.

© ALL RIGHTS RESERVED

---

Anthony J. Pennings, PhD is a professor at the Department of Technology and Society, State University of New York, Korea and holds a joint position at Stony Brook University as a Research Professor. He teaches Visual Rhetoric and IT, and AI/broadband policy. From 2002-2012 he taught digital economics and information systems management at New York University. He also taught in the Digital Media MBA at St. Edwards University in Austin, Texas, where he lives when not in Korea.

Related

Category: artificial intelligence, blockchain, books and films, characteristics of digital media, cryptocurrencies, data analytics and meaning, democratic political economies, digital media economics, digital spreadsheets, dystopian economies, enabling frameworks, financial news, financial technology, meaning makers, meaningful play, media strategies, political economy of media, public administration, science and technology studies, smart new deal, space systems, strategic communications, sustainable development, technologies of meaning, visual literacy and rhetoric
Tags: Bolter and Grusin > Charles Sanders Peirce > Différance > interpretants > Jacques Derrida > semiosis > Semiotics

Comments

Comments are closed.