Sunday, December 2, 2012

What is the nature of explanation?


Some questions about the nature of explanation:
      What is an explanation? What kinds of explanations are there for things? What constitutes a sufficient or adequate explanation for something? How is descriptive adequacy different from explanatory adequacy? How is a theoretical explanation different from a practical explanation? What are the criteria for a sufficient explanation of something? When is a causal explanation a complete explanation? Can a causal explanation be a complete explanation? Is there such a thing as a complete explanation? What are the necessary and sufficient conditions for an adequate explanation of something? Can a sufficient explanation of something not be a logical or rational explanation? What degree of certainty must belong to an explanation in order for it to be considered a possible, probable, likely, or certain explanation? What makes explanations necessary or unnecessary? What are the possible motives for, and consequences of, seeking and providing explanations for things?
      
Some propositions concerning the nature of explanation:
      Explanations, in their content, may be adequate or inadequate, sufficient or insufficient, complete or incomplete.
      Explanations, in their form, may include arguments, demonstrations, and inferences (deductions, inductions, and abductions).
      Explanations, in their modality, may be possible, actual, necessary, not possible, not actual, or not necessary.
      Explanations, in their power and adequacy, may be plausible or implausible, convincing or unconvincing, definitive or in need of further corroboration. They may have varying degrees of explanatory power (efficacy) and adequacy.
      Explanations render things understandable.An adequate explanation of something renders that thing understandable.
      The intelligible world consists of things for which there are (or can be) explanations, and for which we can potentially or actually find explanations.
      Those things for which there are no explanations, or for which there cannot possibly be any explanation, or for which we cannot possibly or actually find any explanation, may be unintelligible to us.
      In order for an explanation to "make sense" and be logically consistent, it must not be self-contradictory. In order for an explanation to render something understandable, it must itself be understandable.
      To explain is to account for, to make clear the reason for, to render intelligible, or to shed light on whatever has previously been, or would otherwise be, obscure and unintelligible. Explanations are, for the most part, not required for things that are self-evident.
      The following propositions may be true of explanation:
       1.  p "explains" q if and only if p accounts
               for q
       2.  p accounts for q if and only if p is a
               sufficient condition for q
       3.  if p is a sufficient condition for q, then p
               "explains" q
      Explanations have pragmatic dimensions; they have a variety of uses, purposes, and functions.
      Explanations may be classified in many ways. One possible way of classifying them may be to divide them into logical (formal), nomological (teleological or doctrinal), empirical (causal, material, or physical), and social (psychological, cultural, or historical) explanations.
      There may be many explanations for a given event, fact, or phenomenon, and they may vary in their form, content, modality, efficacy, and adequacy.
      To sufficiently answer any question of the form, "Why is A the case?" is to give a sufficient explanation of A. Any adequate answer to the question of why A is the case entails giving an adequate explanation of A.
      A purported explanation of something may not be a true or actual explanation of that thing. An explanation that turns out to be false in its premises or conclusions may not actually explain whatever it is purported to explain.
      Explanation may in some cases be a condition for understanding. In order to understand something, we may have to be able to explain why it is as it is and why it is not otherwise.
      Any clause that begins with the word "because" is a causal explanation.
      An event that previously served as an explanation for a second event may no longer explain that event if the conditions for that event have changed.
      There may be primary and secondary explanations for things.
      If the motives of an individual are the primary reason for (or explanation of) his or her actions, then the moral quality of those actions may be entirely different from the moral quality of those actions whose expected or intended consequences were the primary reason for (or explanation of) their having been performed.
      There are some truths that appear to be certain or highly probable but that elude or defy complete explanation.

FOOTNOTES
1Peter Achinstein, The Nature of Explanation (Oxford: Oxford University Press, 1983), p. 63.

Saturday, December 1, 2012

Systems of Signification in African-American Culture

Perceptions that individuals are racially different may often begin as perceptions that individuals are physically different. Perceptions of the differences that individuals may have in their skin color, hair texture, complexion, facial features, height, body build, etc. may often lead to presuppositions about the particular racial group that those individuals belong to. Differences in the physical characteristics of individuals may often be presupposed to signify racial differences, and racial differences may be presupposed to signify social and cultural differences.
     The dialectic of sameness and difference may also be the dialectic of insider and outsider, inclusion and exclusion, belonging and alienation, acceptance and rejection. To be racially or ethnically the same as the majority of members of society may in some cases be to share a socially important and perhaps advantageous mode of sameness with them, but this racial or ethnic sameness does not, by any means, imply any other kind of belonging to, or acceptance by, that society. An individual member of a racial or ethnic majority may feel just as alienated from the majority of society as an alienated member of a racial or ethnic minority. On the other hand, an individual who is perceived as racially or ethnically different from the majority of society may necessarily have to define their personal identity in the context of this difference or "otherness."
     The marginalization (political, social, economic) of an (ethnically, racially) "other" may take the form of a mode of discourse by which a (racial, ethnic) majority says, in effect, to a minority, "This society is ours and not yours." The majority may say to a minority, "The political, social, and cultural institutions of this society belong to us and not to you." Thus, the minority may, to some extent, be denied a sense of belonging to that society. This mode of discourse may be a means by which the majority says to a minority, "If you want to become a full-fledged member of this society, then you will have to become more like the majority. You must be the same as the majority and not different."
     Are there any innate racial differences among human beings (in behavior, or in mental or physical characteristics, for example)? Is the concept of race actually a viable and useful concept? If so, are racial differences among individuals biological or socially-constructed? These questions have been intensely debated, and continue to be disputed. However, a viewpoint commonly shared among social scientists and cultural theorists today is that racial identity is most accurately defined as a socially constructed, and not biological, category. The sociologist Stuart Hall, for example, has eloquently articulated the concept of race as a discursive category. Hall (1966) describes race as a "floating signifier" that may be defined by social context, cultural setting, and historical situation.
     It should be noted that to describe race as a discursive category is not to say that racial differences among individuals aren't real or don't actually exist. However, Hall has shown that perhaps the most productive means of understanding these differences is to analyze them as discursive, socially constructed categories.
     In connection with this mode of analysis, the Italian philosopher Umberto Eco (1976) has noted that there is a difference between saying that a culture can be studied as a system of structured significations and saying that a culture is only a system of structured significations. To say that a culture can be studied as a semiotic phenomenon is not to say that it can only be studied as a semiotic phenomenon.1
     If discourse about race is a metalanguage, then it may itself become the object language of a metalanguage. It may be formal or informal, contemporary or historical, monological or dialogical. The study of African-American culture as a semiotic system may be a metasemiotic, whose object semiotic consists of the signs and symbols that are meaningful to African-Americans.
     Racial signifiers (such as skin color, body language, styles of speech) may be integrated into systems of signification that govern the construction of concepts of social reality. These signifiers may reflect the way in which we view ourselves and each other. The signifying or discursive practices of each racial or ethnic group in society may include the usage of various kinds of signifiers in order to denote perceived racial or ethnic differences. These signifiers may also be used to denote the racial or ethnic (and social or cultural) identity of individuals.
     Social signs stand for (or signify) real or supposed social facts (cultural realities). The signification of signs may consist in their standing for facts or realities. The truth of signs may be determined by whether they signify objective facts or realities (physical, social, cultural, or historical). However, the precise signification of signs, as well as their objective truth, are matters of interpretation. Thus, our concepts of reality may, at least to some degree, be socially constructed.
     The surface meaning of a sign may include its sense (its mode of presentation), its mode of reference to an object, and the particular concept, fact, or reality that it represents (its referent). The underlying meaning of a sign may include its relation to other signs, its interpretants (its representations in the minds of producers and interpreters), its range of connotations, and its relation to the system of beliefs or values it stands for.
     The presentation of a sign may be overt or covert, and its meaning may be apparent or inapparent, disclosed or undisclosed. The realm of discourse in which signs function as signs is a domain in which producers and interpreters can determine the level of openness, honesty, cooperation, and respect with which they will communicate with each other. They can also determine by general agreement or convention the syntactic, semantic, and pragmatic rules that will govern their communication with each other.
     The Swiss linguist Ferdinand de Saussure (1916) defined a sign as a link between a concept and a sound-image, and he described language as a structured system of arbitrary signs. According to his model of the linguistic sign, each sign arbitrarily employs a sound-image (or signifier) to represent a signified idea or concept. Every sign includes both a signifier and a signified.
     The American philosopher Charles S. Peirce (1903) defined a linguistic sign as anything that denotes an object, and he defined an object as anything that can be thought. According to Peirce, linguistic tokens are actual things or events that act as signs, and linguistic types are signs that have been agreed upon as a matter of convention. Symbols are types that act through tokens, and tokens are replicas (individual examples, or instantiations) of types.
     In terms of the dynamics of racial identity, the type-token distinction may be applied to the modes of production of racial signifiers and related sign-vehicles. Racial signifiers may have content-types and content-tokens as well as expression-types and expression-tokens. Stereotypes may be symbols, general types, or models that are replicated by concrete tokens (such as physical objects, images, or representations of behavior). Stereotypical tokens may have individual differences as long as they conform to the relevant characteristics that are dictated by the type (symbol or model).
     Stereotypes are characterized by rigidity, oversimplification, and inability to recognize differences among individual members of the group that is being stereotyped. Stereotypes are also characterized by exaggeration, one-sidedness, and resistance to change. They may express sexist, racist, ethnocentric, xenophobic, or other socially biased viewpoints.
     If a stereotype signifies a set of characteristics that are attributed to all members of a particular social or cultural group, regardless of any individual differences among members of that group, then the token of that stereotype may be produced by replicating those characteristics in an object or act, such as an image, picture, verbal expression, description, or characterization.
     The American philosopher Charles W. Morris (1971) defined a linguistic sign as any preparatory stimulus that produces a disposition in the interpreter to respond to something that is not at the moment a stimulus.In his view, all signs are either signals or symbols. Signals are not interpreted to signify other signs, but symbols are interpreted to signify other signs. Signs may be categorized according to their modes of signifying as identificative, designative, appraisive, prescriptive, or formative. Signs may also be categorized according to their primary usages as informative, valuative, incitive, or systemic (organizational). Modes of discourse (including poetic, scientific, legal, moral, religious, and political discourse) may thus be distinguished from each other by their primary modes of signifying and their primary usages of signs.
      The word "white" or the word "black," when used to signify the racial identity of an individual, inevitably oversimplifies that individual's social identity, since their identity may also be defined by such factors as age, gender, ethnicity, sexual orientation, economic status, religion, and nationality. "White" or "black" can never be regarded as a sufficient description of an individual's social identity, if the diversity of attitudes, viewpoints, and modes of experience that belong to that individual (independent of their racial background) are considered.
     Nevertheless, the words "white" and "black" are often used not only to denote the racial identity of individuals, but also to denote particular sets of social characteristics that are assumed to belong to individuals because of their racial identity. It is precisely because such signifiers oversimplify the social identity of individuals that they are found to be useful by those who desire to promote oversimplified and stereotypical notions of racial differences. For those who have racist preconceptions, the use of such signifiers may express a basic unwillingness to look beyond race or skin color in forming opinions about individuals.
     For those "whites" (in whatever way this term is defined) who believe that "blacks" are socially inferior, the fact that an individual's skin color may be described as "black" may outweigh any other characteristic that may distinguish that individual's social identity. Thus, the architect, photographer, or physicist who happens to be black may be marginalized by being described as a "black architect," a "black photographer," or a "black physicist."  The victim or target of such racist preconceptions may be compelled to respond,"Yes, I'm black, but I'm also an individual with various skills and abilities that do not depend on my being black."
     The very fact that individuals who are described as "white" or "black" are not literally white or black in their skin color indicates that these descriptions are merely figurative and based on social convention. The racial signifiers "white" and "black" may not be literal descriptions of skin color, with some "whites" appearing more "black" than "white" in skin color, and some "blacks" appearing more "white" than "black" in skin color. Moreover, some individuals may be difficult to classify as "white" or "black." Some individuals may refuse to be labeled or may not see themselves as either "white" or "black." The matter of an individual's racial or ethnic identity is always to some extent a matter of self-definition, insofar as each individual must decide for themselves what it means to be "white," "black," "Latino," "Asian-American," and so on.
     In a society in which black people have historically been marginalized (politically, economically, socially) by white people, blackness may be seen by white people as an "otherness." Being black may mean having to accept otherness and learning how to affirm the positive aspects of one's self in one's otherness, or it may mean refusing to accept otherness and demanding to be accepted as equal. Thus, the American civil rights movement of the 1960's may, in a certain sense, have arisen from a refusal by African-Americans to accept "otherness." It may, at least in part, have proceeded from their desire to be accepted as citizens who have the same rights as others to fully participate in American society.
     The most obvious sign of racial discrimination--the sign that says "whites only"--is both a sign and symbol of the exclusion of blacks from various levels of participation in society.
     Linguistic signs that stand for concepts of race may evolve over a period of time. Thus, racial signifiers may be analyzed diachronically (with respect to changes in their signification over a period of time) and synchronically (with respect to their signification at a particular moment in time). Linguistic signs such as the words "black," "Negro," and "colored" are examples of signs that have, over a period of time, changed in their signification.
     Names of people, places, concepts, objects, and events may be both signs and symbols. For example, "the white man" and "the black man" are names that may be used to symbolize the general concept of white people and black people. The name "Rodney King" may symbolize the victimization of black people by police brutality. The name "Emmett Till" may symbolize the suffering endured by black people because of their being subjected to racial violence and intimidation. The words "brother" and "sister" are other examples of sign-symbols. They can be used to address not only family members, but also friends and acquaintances. They may symbolize not only a familial kinship, but also a sense of shared fellowship and humanity.
     The names that parents give to their children may also reflect their racial or ethnic identity. Indeed, the recognition that such names may imply their racial or ethnic identity may be used as a basis for "racial profiling" and other forms of discrimination against them by those who have racially biased viewpoints.
     The most obvious connotations of the word "white" are, of course, positive attributes such as "pure," "innocent," "clean," and "unblemished," and the most obvious connotations of the word "black" are often negative attributes such as "dark," "evil," "unclean," and "dirty." Such connotations can easily be made the basis for prejudicial characterizations and stereotypes of "whiteness" and "blackness." Thus, for those who accept such stereotypes, the white-black antithesis becomes a conflict of good and evil, right and wrong, light and darkness, the civilized and the uncivilized.
     Racial or ethnic stereotypes become a means to dehumanize and ridicule those who are viewed according to racist or ethnocentric ideology as racially or ethnically inferior. Thus, some of the racist caricatures of black people that have been presented in Hollywood films have included the minstrel or buffoon (with blackface makeup, wooly hair, and raggedy clothes) and the "mammy" (the sassy, overweight black maid). Black people have been portrayed in media such as magazines, comic books, and films as having big noses, big lips, big buttocks, kinky hair, and stereotypical patterns of speech ("negroid" features and dark skin have been portrayed as ugly, while "caucasian" features and light skin have been portrayed as beautiful). More recent stereotypical images of blacks that have been spread by mass media include the image of the drug-dealer, pimp, homeboy, hustler, and "gangsta."
     Racial stereotypes may also express racist and blatantly nonsensical presuppositions about individuals (e.g. that if an individual is black, then they must be able to dance and play basketball).
     Racial codewords may be used to convey racist ideology, e.g. "blacks" may be used as a codeword for "crime," and "forced busing" may be used as a codeword for the enforcement of laws designed to end racial segregation in public schools. The term "affirmative action" may be used as a codeword by those who are opposed to measures to correct social inequalities and who believe that the effect of such measures will be to provide employment or educational opportunities to individuals solely because they belong to a minority group, and not because of their personal qualifications or merit.
     The production and interpretation of signs require the use of codes in order for the expression of those signs to be correlated to their content. A code may be a correlational device for determining the relation between signifiers and their signified concepts.Code switching may occur when blacks and whites talk to each other, because they may adapt their conversational styles in order to facilitate communication. Blacks may move back and forth between African-American vernacular English and standard American English, although these varieties of English (which may be described as ethnolects or sociolects, because they are varieties of language that may be associated with particular ethnic or social groups) may be a continuum, and may not be rigidly separated from each other. Code switching may include changes in formality, vocabulary, syntax, and phonology (pronunciation), as well as in nonverbal communication.
     Terms such as "Jim Crow," "the middle passage," "sit in," "black power," "Harlem Renaissance," "NAACP," "freedom rider," "Black Panther," "rhythm and blues," "jazz," and "hip hop" are signifiers of historical movements or events that have powerful connotations for African-Americans. Racially-charged symbols, such as the confederate flag, the hood of a Ku Klux Klansman, a burning cross, a lynching rope, a swastika, neo-Nazi symbols, and slave shackles may also have powerful connotations. Racial epithets, such as the "n-word," also have powerful connotations and are signifiers of racial hatred that have been used by some whites in the past to express their scorn and contempt for blacks and other people of color.
     Other symbolic expressions include the racial epithets "boy," "token Negro," and "Uncle Tom."
     Racial signifiers may become vehicles of racial (and racist or ethnocentric) iconography. Examples of such iconography include depictions of God or Jesus as white, depictions of white superheroes such as Tarzan and the Lone Ranger who are symbols of white supremacy, and demeaning characterizations of people who are deemed to be of low social status, such as Amos 'n Andy, Little Black Sambo, Stepin Fetchit, Buckwheat, and Aunt Jemima, who are also symbols of black servitude.
     Iconic signs (signs that resemble the things they signify) may take the form of emulation of a particular style of speech, dress, or fashion. Indexical signs (signs that demonstrate the influence of the things they signify) may take the form of changes in an individual's physical appearance (such as their having a shaven head or wearing a tattoo or an earring) in order to denote a particular set of social attitudes. Symbolic signs (signs that by convention refer to the things they signify) may take the form of a gesture such as a handshake, a high-five, a black power salute, or a colloquial verbal expression such as "what's up?" or "what's goin' on?"
     Historical events of symbolic importance to African-Americans include the Dred Scott Supreme Court decision (1857), the Emancipation Proclamation (1863), Jesse Owens' winning four gold medals at the Olympic Games (1936), Jackie Robinson's becoming the first black baseball player in the major leagues (1947), the Brown vs. Board of Education Supreme Court decision (1954), Rosa Parks's refusal to give up her seat on a bus in Alabama (1955), the Montgomery bus boycott (1955-6), the March on Washington (1963), the assassination of Dr. Martin Luther King Jr. (1968), the declaration of Martin Luther King Jr. Day as a national holiday (1986), and the election of Barack Obama as President of the United States (2008).
     Protests are by their nature symbolic forms of social expression. Thus, when African-Americans have engaged in social protests in the past, they have symbolically articulated their demand for social justice and equal legal and civil rights.
     Individuals who are symbols of excellence and achievement, and who are "cultural icons" include Martin Luther King Jr., Malcolm X, Frederick Douglass, Sojourner Truth, Harriet Tubman, Marcus Garvey, W.E.B. DuBois, Rosa Parks, George Washington Carver, Charles Drew, John Hope Franklin, Richard Wright, James Baldwin, Langston Hughes, Lorraine Hansberry, Zora Neale Hurston, Toni Morrison, Bessie Smith, Billie Holiday, Louis Armstrong, Miles Davis, John Coltrane, Sidney Poitier, Michael Jackson, Oprah Winfrey, Michael Jordan, Willie Mays, Jackie Robinson, Hank Aaron, and Muhammad Ali.
     Other symbolic signs of African-American culture include Negro spirituals, gospel music, the Negro National Anthem, the colors of Akan Kente cloth, the celebration of Kwanzaa, and the song "We Shall Overcome."
     Symbolic rituals in the everyday lives of African-Americans include rites of religious worship, everyday work routines, weekend recreational activities, weddings, funerals, birthday celebrations, holiday observances, school graduation ceremonies, family rituals (such as saying a prayer or blessing before meals), and patriotic observances (such as standing up and facing the flag during the playing of the National Anthem).
     The signifying practices of African-Americans include art, music, religion, oral and written narrative, folklore, literature, science, rhetorical discourse, political discourse, and other signifying practices. Fashion and design are other examples of signifying practices (formal and informal) that may take the form of simply wearing a particular type of clothing or choosing a particular hairstyle (thus, the adoption of a particular style of dress or the driving of a particular type of car may be a sign of one's lifestyle, social attitudes, level of income, economic status, etc.). These signifying practices (or enunciative modalities) on the part of African-Americans may be informed by the historical struggle to overcome social oppression, and may in some cases be part of the continuing quest for human dignity and freedom.
     Racial signifiers may take the form of words, images, or modes of behavior. They may have positive or negative connotations (thematic paradigms) that may be subject to varying interpretations, depending on their context, mode of presentation, and the particular preconceptions, opinions, and attitudes of the producer or interpreter.


FOOTNOTES 

1Umberto Eco, A Theory of Semiotics (Bloomington: Indiana University Press, 1976), p. 22.
2Charles W. Morris, Writings on the General Theory of Signs (The Hague: Mouton, 1971), p. 366.
3Eco, A Theory of Semiotics, p. 38.


REFERENCES

Eco, Umberto. A Theory of Semiotics. Bloomington: Indiana University Press, 1076.

Hall, Stuart. Race: The Floating Signifier (video lecture). Northampton, Mass: The Media Education Foundation, 1996.

Morris, Charles W. Writings on the General Theory of Signs. The Hague: Mouton, 1971.

Peirce, Charles Sander. Collected Papers of Charles Sanders Peirce. Cambridge: Harvard University Press, 1960.

Saussure, Ferdinand de. Course in General Linguistics. Edited by Charles Bally and Albert Sechehaye, in collaboration with Albert Riedlinger. Translated by Wade Baskin. New York: McGraw-Hill Book Company, 1966.

Friday, November 30, 2012

Monism and Pluralism

There may be many kinds of monism and pluralism: philosophical, religious, social, political, and cultural.
      Philosophical monism and pluralism include ontological, metaphysical, ethical, and epistemological kinds.
      Ontological monism may be a theory that the world consists of a single substance, while ontological pluralism may be a theory that the world consists of a plurality of substances. 
      Metaphysical monism may be a theory that ultimate reality consists of a single substance, while metaphysical pluralism may be a theory that ultimate reality consists of a plurality of substances. 
      Two important kinds of metaphysical pluralism are substance dualism (or Cartesian dualism), which holds that mind and matter are two different substances, and property dualism (or token physicalism), which holds that mind and matter are not different substances and that mental phenomena are merely properties of physical phenomena.
      Metaphysical monism, or the theory that only one kind of entity constitutes ultimate reality, may be of three kinds: idealistic, materialistic, and neutral.1 Idealistic monism may a theory that all reality is mental or spiritual, and that the world consists of a single underlying substance that is mental or spiritual. Materialistic monism may be a theory that all reality is material or physical, and that mental phenomena are merely rearrangements of physical matter. Neutral monism may be a theory that physical and mental reality are not intrinsically different, and that all physical and mental phenomena are merely rearrangements of a single neutral substance or element.2
      Ethical monism may be a theory that ethical conduct is (can, or should be) guided by a single ethical principle or value system. Ethical pluralism, on the other hand, may be a theory that ethical conduct is (can, or should be) guided by a plurality of ethical principles or value systems. 
      Epistemological monism may be a theory that there is only one kind of truth or that there is only one consistent set of truths about the world. Epistemological pluralism, on the other hand, may be a theory that there are many kinds of truth and that there may be many consistent sets of truths about the world.
      Religious or theological monism may be a theory or attitude that there is only one true way of looking at God, that there is only one true religion, and that there is only one path to spiritual salvation. On the other hand, religious or theological pluralism may be a theory or attitude that there is more than one true way of looking at God, that there is more than one valid way of discovering ultimate reality, and that there is more than one path to spiritual salvation. 
     It is important to note that religious pluralism does not necessarily entail religious relativism.3 While religious pluralism may involve mutual respect among people of different religions, and may be guided by the principle that people of different religions should be able to live together peacefully in society, religious relativism may be a theory that religious truth is relative to the believer and that all religious beliefs are therefore equally valid. Acceptance of religious pluralism as a social goal or norm does not entail abandonment of the principle that there are absolute moral and religious truths that are not merely a matter of subjective opinion or personal viewpoint.

FOOTNOTES
1Bertrand Russell, Theory of Knowledge: The 1913 Manuscript, edited by Elizabeth Ramsden Eames, in collaboration with Kenneth Blackwell (London: Routledge, 1992), p. 7.
2Ibid., p. 15.
3Jay Newman, Foundations of Religious Tolerance (Toronto: University of Toronto Press, 1982), p. 47.

Thursday, November 29, 2012

Deontic modality schematized according to the semiotic square



Actions may be classified according to their deontic modality (using the Greimasian scheme of the semiotic square) as follows:


S1                                                              S2
those that we are                those that we are   required to do                      required not to do





those that we are               those that we are    not required not to do           not required to do
~S2                                                            ~S1



S1                                                                S2
those that we are               those that we are   advised to do                      advised not to do





those that we are               those that we are   not advised not to do          not advised to do
~S2                                                           ~S1




S1                                                               S2
those that we are                those that we are permitted to do                  permitted not to do





those that we are                those that we are not permitted not to do       not permitted to do
~S2                                                            ~S1


S1 – S2 is a relation of contrariety, ~S1 - S2 is a relation of complementarity, S1 - ~S1 is a relation of contradiction, S2 - ~S2 is a relation of contradiction, ~S2 - ~S1 is a relation of contrariety, and S1 - ~S2 is a relation of complementarity.1


Relations of material equivalence may thus be stated as follows (where "" stands for “is materially equivalent to”):

1. Being required to do (having to do)  not being permitted not to do  not being permitted to do otherwise

2. Being required not to do (having not to do)  being required to do otherwise  not being permitted not to do

3. Not being required to do (not having to do)  being permitted not to do  being permitted to do otherwise

4. Not being required not to do (not having not to do)  being permitted to do  not being required to do otherwise.


FOOTNOTES

1A.J. Greimas and J. Courtés, Semiotics and Language: An Analytical Dictionary, translated by Larry Crist, Daniel Patte, et al. (Bloomington: Indiana University Press, 1979), p. 309.





When You're at a Loss for Words

Remember Exodus 4:10-12:

"10 Moses said to the Lord, “Pardon your servant, Lord. I have never been eloquent, neither in the past nor since you have spoken to your servant. I am slow of speech and tongue.” 11 The Lord said to him, “Who gave human beings their mouths? Who makes them deaf or mute? Who gives them sight or makes them blind? Is it not I, the Lord? 12 Now go; I will help you speak and will teach you what to say.”"