Ceteris paribus or caeteris paribus is a Latin phrase, literally translated as "with other things the same," or "all other things being equal or held constant." It is an example of an ablative absolute and is commonly rendered in English as "all other things being equal." A prediction, or a statement about causal or logical connections between two states of affairs, is qualified by ceteris paribus in order to acknowledge, and to rule out, the possibility of other factors that could override the relationship between the antecedent and the consequent.
A ceteris paribus assumption is often fundamental to the predictive purpose of scientific inquiry. In order to formulate scientific laws, it is usually necessary to rule out factors which interfere with examining a specific causal relationship. Under scientific experiments, the ceteris paribus assumption is realized when a scientist controls for all of the independent variables other than the one under study, so that the effect of a single independent variable on the dependent variable can be isolated. By holding all the other relevant factors constant, a scientist is able to focus on the unique effects of a given factor in a complex causal situation.
Such assumptions are also relevant to the descriptive purpose of modeling a theory. In such circumstances, analysts such as physicists, economists, and behavioral psychologists apply simplifying assumptions in order to devise or explain an analytical framework that does not necessarily prove cause and effect but is still useful for describing fundamental concepts within a realm of inquiry.
One of the disciplines in which ceteris paribus clauses are most widely used is economics, in which they are employed to simplify the formulation and description of economic outcomes. When using ceteris paribus in economics, assume all other variables except those under immediate consideration are held constant. For example, it can be predicted that if the price of beef increases—ceteris paribus—the quantity of beef demanded by buyers will decrease. In this example, the clause is used to operationally describe everything surrounding the relationship between both the price and the quantity demanded of an ordinary good.
This operational description intentionally ignores both known and unknown factors that may also influence the relationship between price and quantity demanded, and thus to assume ceteris paribus is to assume away any interference with the given example. Such factors that would be intentionally ignored include: the relative change in price of substitute goods, (e.g., the price of beef vs pork or lamb); the level of risk aversion among buyers (e.g., fear of mad cow disease); and the level of overall demand for a good regardless of its current price level (e.g., a societal shift toward vegetarianism).
The clause is often loosely translated as "holding all else constant."
Characterization given by Alfred Marshall 
The clause is used to consider the effect of some causes in isolation, by assuming that other influences are absent. Alfred Marshall expressed the use of the clause as follows:
- The element of time is a chief cause of those difficulties in economic investigations which make it necessary for man with his limited powers to go step by step; breaking up a complex question, studying one bit at a time, and at last combining his partial solutions into a more or less complete solution of the whole riddle. In breaking it up, he segregates those disturbing causes, whose wanderings happen to be inconvenient, for the time in a pound called Ceteris Paribus. The study of some group of tendencies is isolated by the assumption other things being equal: the existence of other tendencies is not denied, but their disturbing effect is neglected for a time. The more the issue is thus narrowed, the more exactly can it be handled: but also the less closely does it correspond to real life. Each exact and firm handling of a narrow issue, however, helps towards treating broader issues, in which that narrow issue is contained, more exactly than would otherwise have been possible. With each step more things can be let out of the pound; exact discussions can be made less abstract, realistic discussions can be made less inexact than was possible at an earlier stage. (Principles of Economics, Bk.V,Ch.V in paragraph V.V.10).
Two uses 
The above passage by Marshall highlights two ways in which the ceteris paribus clause may be used: The one is hypothetical, in the sense that some factor is assumed fixed in order to analyse the influence of another factor in isolation. This would be hypothetical isolation. An example would be the hypothetical separation of the income effect and the substitution effect of a price change, which actually go together. The other use of the ceteris paribus clause is to see it as a means for obtaining an approximate solution. Here it would yield a substantive isolation.
Substantive isolation has two aspects: Temporal and causal. Temporal isolation requires the factors fixed under the ceteris paribus clause to actually move so slowly relative to the other influence that they can be taken as practically constant at any point in time. So, if vegetarianism spreads very slowly, inducing a slow decline in the demand for beef, and the market for beef clears comparatively quickly, we can determine the price of beef at any instant by the intersection of supply and demand, and the changing demand for beef will account for the price changes over time (→Temporary Equilibrium Method).
The other aspect of substantive isolation is causal isolation: Those factors frozen under a ceteris paribus clause should not significantly be affected by the processes under study. If a change in government policies induces changes in consumers' behavior on the same time scale, the assumption that consumer behaviour remains unchanged while policy changes is inadmissible as a substantive isolation (→Lucas critique).
See also 
- List of Latin phrases
- Mutatis mutandis ("by changing those things which need to be changed" or more simply "the necessary changes having been made")
- Experimental Controls
- Partial derivative
|Look up ceteris paribus in Wiktionary, the free dictionary.|