Richard Reisch and Josef Clemens Kreibig: Noch ein Wort über die theoretischen Grundlagen der doppelten Buchhaltung (1901)

Reisch and Kreibig’s polemical article defends the theory of two series of accounts against Professor Seidler’s criticism of their Bilanz und Steuer. Its central claim is that double-entry bookkeeping records changes both in the components of wealth and in net wealth and results. The theoretical problem is therefore not simply why transactions receive paired entries, but how accounts with different debit-and-credit conventions form a coherent system.

The opening distinguishes the authors’ substantive disagreement with Seidler from his general dismissal of previous accounting theory. They decline to undertake a comprehensive defense of that literature:

Diesem Pauschalvorwürfe an dieser Stelle entgegenzutreten, fühlen wir uns nicht berufen, mag derselbe auch angesichts der geradezu zahllosen und theilweise sehr geistreichen Erklärungsversuche noch so verwunderlich sein.

English translation: We do not feel called upon to counter this sweeping reproach in this place, however astonishing it may be in view of the well-nigh countless and in part very ingenious attempts at explanation.

Their narrower concern is explanatory and pedagogical: Seidler’s alternative risks obscuring the logic of bookkeeping for the legal readership addressed by the controversy.

Section II identifies the difficulty requiring explanation. Increases are entered on the debit side in some accounts and on the credit side in others, so debit and credit cannot carry one invariant mathematical meaning throughout the ledger. The authors distinguish two coordinated accounting domains:

Diese Verrechnung geschieht auf zwei getrennten Contenreihen — auf der Contenreihe der Vermögensbestandtheils-Verrechnung und auf jener der Reinvermögens- und Erfolgsverrechnung.

English translation: This accounting is carried out in two separate series of accounts — in the series of accounts for the recording of the constituent parts of assets, and in that for the recording of net worth and results.

The relation A − P = R—assets minus liabilities equals net wealth—grounds this distinction. Offsetting changes in assets and liabilities leave net wealth unchanged; other changes affect the components of wealth and net wealth together. The two account series assign opposite signs to debit and credit so that these relationships can be represented through balanced postings. The technical requirement is explicit:

Die Technik der doppelten Buchhaltung beruht nun darauf, dass jeder Buchung auf Soll eine gleich grosse Buchung¹) auf Haben entspricht, wodurch die stete Uebereinstimmung aller Soll- und Habenposten herbeigeführt wird.

English translation: The technique of double-entry bookkeeping now rests on the fact that to every entry on the debit side there corresponds an equally large entry¹) on the credit side, whereby the constant agreement of all debit and credit items is brought about.

Equal debit and credit entries thus depend on a convention that coordinates different kinds of calculation. The convention does not replace the mathematical account of wealth; it enables that account to operate as a bookkeeping system.

Sections III and IV challenge Seidler’s positive explanation of transactions as transformations of one form of value into another. His approach would allow increases always to be debited and decreases credited, but requires expenses to represent acquisitions of values subsequently consumed. Reisch and Kreibig distinguish economic benefits from what the books actually record. Wages purchase labour, yet a wage account does not thereby record labour services as an acquired asset. Taxes, donations, fines, and private withdrawals expose further limits of the universal exchange model. Their own explanation treats such entries as reductions of assets accompanied by reductions of net wealth: crediting cash and debiting the relevant expense or withdrawal account expresses the same diminution through the opposing conventions of the two series.

Section V addresses Seidler’s exclusion of capital, balance-sheet, and profit-and-loss accounts from the class of genuine accounts. Treating them as summaries, the authors argue, removes precisely those accounts that connect capital contributions, withdrawals, results, and closing entries. Additional capital and losses through theft require systematic recognition of changes in both wealth components and net wealth, not exceptional adjustments to an external overview. Corporate capital accounts and the transfer of inventories and profits at closing likewise demonstrate the constitutive role of these accounts.

The concluding section extends the argument from current transactions to opening and closing entries. Some effects on profit are recorded immediately; others become identifiable when mixed inventory-and-results accounts are closed. Double-entry’s distinctive achievement is the systematic coordination of wealth-component accounting with net-wealth and results accounting. Single-entry is consequently understood as an independent system with its own economic task, rather than merely an incomplete version of double-entry. The article makes theoretical adequacy depend on explaining what the books disclose about wealth and performance, not merely on describing the mechanics of paired entries.