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Mill's Methods

January 01, 1970

Mill's Methods are five methods of induction described by philosopher John Stuart Mill in his 1843 book A System of Logic.[1] They are intended to establish a causal relationship between two or more groups of data, analyzing their respective differences and similarities.

The methods edit

Direct method of agreement edit

If two or more instances of the phenomenon under investigation have only one circumstance in common, the circumstance in which alone all the instances agree, is the cause (or effect) of the given phenomenon.

— John Stuart Mill, Mill, John Stuart (1843). A System of Logic, Vol. 1. John W. Parker. p. 454.

For a property to be a necessary condition it must always be present if the effect is present. Since this is so, then we are interested in looking at cases where the effect is present and taking note of which properties, among those considered to be 'possible necessary conditions' are present and which are absent. Obviously, any properties which are absent when the effect is present cannot be necessary conditions for the effect. This method is also referred to more generally within comparative politics as the most different systems design. Symbolically, the method of agreement can be represented as:

A B C D occur together with w x y z
A E F G occur together with w t u v
——————————————————
Therefore A is the cause, or the effect, of w.

To further illustrate this concept, consider two structurally different countries. Country A is a former colony, has a centre-left government, and has a federal system with two levels of government. Country B has never been a colony, has a centre-left government and is a unitary state. One factor that both countries have in common, the dependent variable in this case, is that they have a system of universal health care. Comparing the factors known about the countries above, a comparative political scientist would conclude that the government sitting on the centre-left of the spectrum would be the independent variable which causes a system of universal health care, since it is the only one of the factors examined which holds constant between the two countries, and the theoretical backing for that relationship is sound; social democratic (centre-left) policies often include universal health care.

Method of difference edit

If an instance in which the phenomenon under investigation occurs, and an instance in which it does not occur, have every circumstance save one in common, that one occurring only in the former; the circumstance in which alone the two instances differ, is the effect, or cause, or an indispensable part of the cause, of the phenomenon.

— John Stuart Mill, Mill, John Stuart (1843). A System of Logic, Vol. 1. John W. Parker. p. 455.

This method is also known more generally as the most similar systems design within comparative politics.

A B C D occur together with w x y z
B C D occur together with x y z
——————————————————
Therefore A is the cause, or the effect, or a part of the cause of w.

As an example of the method of difference, consider two similar countries. Country A has a centre-right government, a unitary system and was a former colony. Country B has a centre-right government, a unitary system but was never a colony. The difference between the countries is that Country A readily supports anti-colonial initiatives, whereas Country B does not. The method of difference would identify the independent variable to be the status of each country as a former colony or not, with the dependant variable being supportive for anti-colonial initiatives. This is because, out of the two similar countries compared, the difference between the two is whether or not they were formerly a colony. This then explains the difference on the values of the dependent variable, with the former colony being more likely to support decolonization than the country with no history of being a colony.

Indirect method of difference edit

If two or more instances in which the phenomenon occurs have only one circumstance in common, while two or more instances in which it does not occur have nothing in common save the absence of that circumstance; the circumstance in which alone the two sets of instances differ, is the effect, or cause, or a necessary part of the cause, of the phenomenon.

— John Stuart Mill, Mill, John Stuart (1843). A System of Logic, Vol. 1. John W. Parker. p. 463.

Also called the "Joint Method of Agreement and Difference", this principle is a combination of two methods of agreement. Despite the name, it is weaker than the direct method of difference and does not include it.

Symbolically, the Joint method of agreement and difference can be represented as:

A B C occur together with x y z
A D E occur together with x v w
F G occur with y w
——————————————————
Therefore A is the cause, or the effect, or a part of the cause of x.

Method of residue edit

Subduct[2] from any phenomenon such part as is known by previous inductions to be the effect of certain antecedents, and the residue of the phenomenon is the effect of the remaining antecedents.

— John Stuart Mill, Mill, John Stuart (1843). A System of Logic, Vol. 1. John W. Parker. p. 465.

If a range of factors are believed to cause a range of phenomena, and we have matched all the factors, except one, with all the phenomena, except one, then the remaining phenomenon can be attributed to the remaining factor.

Symbolically, the Method of Residue can be represented as:

A B C occur together with x y z
B is known to be the cause of y
C is known to be the cause of z
——————————————————
Therefore A is the cause or effect of x.

Method of concomitant variations edit

Whatever phenomenon varies in any manner whenever another phenomenon varies in some particular manner, is either a cause or an effect of that phenomenon, or is connected with it through some fact of causation.

— John Stuart Mill, Mill, John Stuart (1843). A System of Logic, Vol. 1. John W. Parker. p. 470.

If across a range of circumstances leading to a phenomenon, some property of the phenomenon varies in tandem with some factor existing in the circumstances, then the phenomenon can be associated with that factor. For instance, suppose that various samples of water, each containing both salt and lead, were found to be toxic. If the level of toxicity varied in tandem with the level of lead, one could attribute the toxicity to the presence of lead.

Symbolically, the method of concomitant variation can be represented as (with ± representing a shift):

A B C occur together with x y z
A± B C results in x± y z.
—————————————————————
Therefore A and x are causally connected

Unlike the preceding four inductive methods, the method of concomitant variation doesn't involve the elimination of any circumstance. Changing the magnitude of one factor results in the change in the magnitude of another factor.

See also edit

References edit

  1. ^ Churchill, Robert Paul (1990). Logic: An Introduction (2nd ed.). New York: St. Martin's Press. p. 418. ISBN 978-0-312-02353-9. OCLC 21216829. In his book A System of Logic (1843), Mill proposed four methods for testing causal hypotheses: the method of agreement, the method of difference, the joint method of agreement and difference, and the method of concomitant variation.7 (footnote 7: Mill also proposed a fifth method, which he called the method of residues.)
  2. ^ "Subduct" is an archaic word meaning "take away" or "subtract".

Further reading edit

  • Copi, Irving M.; Cohen, Carl (2001). Introduction to Logic. Prentice Hall. ISBN 978-0-13-033735-1.
  • Ducheyne, Steffen (2008). "J.S. Mill's Canons of Induction: From true causes to provisional ones". History and Philosophy of Logic. 29 (4): 361–376. CiteSeerX 10.1.1.671.6256. doi:10.1080/01445340802164377. S2CID 170478055.
  • Kreeft, Peter (2009). Socratic Logic, A Logic Text Using Socratic Method, Platonic Questions, and Aristotelian Principles. St. Augustine's Press, South Bend, Indiana. ISBN 978-1-890318-89-5.

External links edit

  • Causal Reasoning—Provides some examples
  • Mill's methods for identifying causes—Provides some examples

January 01, 1970
mill, methods, this, article, multiple, issues, please, help, improve, discuss, these, issues, talk, page, learn, when, remove, these, template, messages, this, article, provides, insufficient, context, those, unfamiliar, with, subject, please, help, improve, . This article has multiple issues Please help improve it or discuss these issues on the talk page Learn how and when to remove these template messages This article provides insufficient context for those unfamiliar with the subject Please help improve the article by providing more context for the reader August 2013 Learn how and when to remove this message This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Mill s Methods news newspapers books scholar JSTOR February 2008 Learn how and when to remove this message Learn how and when to remove this message Mill s Methods are five methods of induction described by philosopher John Stuart Mill in his 1843 book A System of Logic 1 They are intended to establish a causal relationship between two or more groups of data analyzing their respective differences and similarities Contents 1 The methods 1 1 Direct method of agreement 1 2 Method of difference 1 3 Indirect method of difference 1 4 Method of residue 1 5 Method of concomitant variations 2 See also 3 References 4 Further reading 5 External linksThe methods editDirect method of agreement edit If two or more instances of the phenomenon under investigation have only one circumstance in common the circumstance in which alone all the instances agree is the cause or effect of the given phenomenon John Stuart Mill Mill John Stuart 1843 A System of Logic Vol 1 John W Parker p 454 For a property to be a necessary condition it must always be present if the effect is present Since this is so then we are interested in looking at cases where the effect is present and taking note of which properties among those considered to be possible necessary conditions are present and which are absent Obviously any properties which are absent when the effect is present cannot be necessary conditions for the effect This method is also referred to more generally within comparative politics as the most different systems design Symbolically the method of agreement can be represented as A B C D occur together with w x y z A E F G occur together with w t u v Therefore A is the cause or the effect of w To further illustrate this concept consider two structurally different countries Country A is a former colony has a centre left government and has a federal system with two levels of government Country B has never been a colony has a centre left government and is a unitary state One factor that both countries have in common the dependent variable in this case is that they have a system of universal health care Comparing the factors known about the countries above a comparative political scientist would conclude that the government sitting on the centre left of the spectrum would be the independent variable which causes a system of universal health care since it is the only one of the factors examined which holds constant between the two countries and the theoretical backing for that relationship is sound social democratic centre left policies often include universal health care Method of difference edit If an instance in which the phenomenon under investigation occurs and an instance in which it does not occur have every circumstance save one in common that one occurring only in the former the circumstance in which alone the two instances differ is the effect or cause or an indispensable part of the cause of the phenomenon John Stuart Mill Mill John Stuart 1843 A System of Logic Vol 1 John W Parker p 455 This method is also known more generally as the most similar systems design within comparative politics A B C D occur together with w x y z B C D occur together with x y z Therefore A is the cause or the effect or a part of the cause of w As an example of the method of difference consider two similar countries Country A has a centre right government a unitary system and was a former colony Country B has a centre right government a unitary system but was never a colony The difference between the countries is that Country A readily supports anti colonial initiatives whereas Country B does not The method of difference would identify the independent variable to be the status of each country as a former colony or not with the dependant variable being supportive for anti colonial initiatives This is because out of the two similar countries compared the difference between the two is whether or not they were formerly a colony This then explains the difference on the values of the dependent variable with the former colony being more likely to support decolonization than the country with no history of being a colony Indirect method of difference edit If two or more instances in which the phenomenon occurs have only one circumstance in common while two or more instances in which it does not occur have nothing in common save the absence of that circumstance the circumstance in which alone the two sets of instances differ is the effect or cause or a necessary part of the cause of the phenomenon John Stuart Mill Mill John Stuart 1843 A System of Logic Vol 1 John W Parker p 463 Also called the Joint Method of Agreement and Difference this principle is a combination of two methods of agreement Despite the name it is weaker than the direct method of difference and does not include it Symbolically the Joint method of agreement and difference can be represented as A B C occur together with x y z A D E occur together with x v w F G occur with y w Therefore A is the cause or the effect or a part of the cause of x Method of residue edit Subduct 2 from any phenomenon such part as is known by previous inductions to be the effect of certain antecedents and the residue of the phenomenon is the effect of the remaining antecedents John Stuart Mill Mill John Stuart 1843 A System of Logic Vol 1 John W Parker p 465 If a range of factors are believed to cause a range of phenomena and we have matched all the factors except one with all the phenomena except one then the remaining phenomenon can be attributed to the remaining factor Symbolically the Method of Residue can be represented as A B C occur together with x y z B is known to be the cause of y C is known to be the cause of z Therefore A is the cause or effect of x Method of concomitant variations edit Whatever phenomenon varies in any manner whenever another phenomenon varies in some particular manner is either a cause or an effect of that phenomenon or is connected with it through some fact of causation John Stuart Mill Mill John Stuart 1843 A System of Logic Vol 1 John W Parker p 470 If across a range of circumstances leading to a phenomenon some property of the phenomenon varies in tandem with some factor existing in the circumstances then the phenomenon can be associated with that factor For instance suppose that various samples of water each containing both salt and lead were found to be toxic If the level of toxicity varied in tandem with the level of lead one could attribute the toxicity to the presence of lead Symbolically the method of concomitant variation can be represented as with representing a shift A B C occur together with x y z A B C results in x y z Therefore A and x are causally connected Unlike the preceding four inductive methods the method of concomitant variation doesn t involve the elimination of any circumstance Changing the magnitude of one factor results in the change in the magnitude of another factor See also editCausal inference Controlled scientific experiments Baconian method Bayesian network Koch s postulatesReferences edit Churchill Robert Paul 1990 Logic An Introduction 2nd ed New York St Martin s Press p 418 ISBN 978 0 312 02353 9 OCLC 21216829 In his book A System of Logic 1843 Mill proposed four methods for testing causal hypotheses the method of agreement the method of difference the joint method of agreement and difference and the method of concomitant variation 7 footnote 7 Mill also proposed a fifth method which he called the method of residues Subduct is an archaic word meaning take away or subtract Further reading editCopi Irving M Cohen Carl 2001 Introduction to Logic Prentice Hall ISBN 978 0 13 033735 1 Ducheyne Steffen 2008 J S Mill s Canons of Induction From true causes to provisional ones History and Philosophy of Logic 29 4 361 376 CiteSeerX 10 1 1 671 6256 doi 10 1080 01445340802164377 S2CID 170478055 Kreeft Peter 2009 Socratic Logic A Logic Text Using Socratic Method Platonic Questions and Aristotelian Principles St Augustine s Press South Bend Indiana ISBN 978 1 890318 89 5 External links editCausal Reasoning Provides some examples Mill s methods for identifying causes Provides some examples Retrieved from https en wikipedia org w index php title Mill 27s Methods amp oldid 1212994555 Method of difference, wikipedia, wiki, book, books, library,

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