“Could you please tell me what ‘abstraction’ is in the Objectivist canon?” (An Objectivist)
“Abstraction” (or “abstracting”) is, for Rand, a volitional activity performed by a conscious mind in relation to existents (e.g., entities, attributes of entities, actions of entities, relations between entities, etc.) which it observes in reality. More specifically, it is a process wherein a mind “selectively” focuses upon, and mentally “isolates,” an existent present within a particular context, “omitting” (or regarding as “unspecified”) observed differences as being different from what is being “isolated,” and ”grasping” observed similarities as being similar to what is being mentally “isolated.” Abstraction is an essential phase of Rand’s account of concept formation, and it is intertwined with what Rand calls “measurement” and its subsidiary aspects (e.g., “unit” “measurement omission,” “commensurable characteristics,” etc.)
“An ‘attribute’ is a mentally isolated element of the structure of an entity.” (An Objectivist)
“‘Attributes’ are not extant ‘things’. They are epistemological abstractions.” (An Objectivist)
This is totally mistaken. Attributes are not entities (or “things”), rather they are existent characteristics or properties of entities. For Rand, attributes and entities are types of existents. (Cf. “The building-block of man’s knowledge is the concept of an “existent”—of something that exists, be it a thing, an attribute or an action.”) Thus, Rand holds that attributes (e.g., the color of a particular book) and entities (e.g., the book which has that particular color) are existents. Although attributes and entities are both extant, only entities are self-subsistent and self-contained existents—attributes are neither self-subsistent nor self-contained existents.
Although an attribute cannot exist independently of the entity which possesses it, it is nevertheless metaphysically distinct from the entity which possesses it. As evidenced on page 277 of ITOE, Rand makes it clear that attributes of entities are not “epistemological abstractions”—they are not products resulting from our measuring(s) or abstracting(s) from entities. On the contrary, she states that an attribute (e.g., the length of a stick, the shape of a book, the color of a flower, etc.) “does exist in reality, only it doesn’t exist by itself. It is not separable from an entity, but it certainly exists in reality….And therefore if to say it is epistemological rather than metaphysical is to say it exists only in relation to your grasp of it, or it requires your grasp of it in order to acquire existence—it doesn’t. Surely, if anything is metaphysical, attributes are.”
In a similar vein, the referent of the concept of a particular attribute (e.g., the concept of “red,” the concept of “length,” the concept of “shape,” etc.) is not itself epistemological; on the contrary, the referent of the concept of a particular attribute is the attribute itself (i.e., the referent is the particular attribute possessed by all the entities which happen to possess that attribute). Rand states that although the concept of a particular attribute is the result of an act of “mental isolation” and “abstraction,” the referents of the concept are themselves metaphysical: they exist in reality and constitute the identities of the entities which possess them. The referents of the concept of a particular attribute are not themselves “epistemological abstractions.” As Rand says, on pg. 98 of ITOE, each of an entity’s characteristics (i.e., each of an entity’s attributes) “has the same metaphysical status: each constitutes a part of the entity’s identity”.
“Rand is saying that the attributes yes do exist, but not as a metaphysically distinct thing.” (An Objectivist)
A particular attribute of an entity is not metaphysically separable from the entity which possesses that particular attribute; however, that does not mean that the particular attribute and the entity in question are not metaphysically distinct. On the contrary, a particular attribute of an entity is clearly metaphysically distinct from the entity which possesses that particular attribute. Indeed, if a particular attribute of an entity was not metaphysically distinct (i.e., different) from the entity which possessed it, then the entity in question would be identical to that particular attribute which it possessed—and this is something which Rand rejects (Cf. “An attribute is something which is not the entity itself.” (ITOE, 276)). While Rand holds that an entity is not metaphysically distinct from the totality of its attributes, she holds that the entity is nevertheless metaphysically distinct from anything less than the totality of its attributes. (Cf. “No one attribute constitutes the whole entity, but all of them together are the entity—not “possessed by” but “are” the entity.” (ITOE, 276))
Furthermore, absurd contradictions would follow if a particular attribute of an entity was not metaphysically distinct (i.e., different) from the entity which possessed it. To reiterate, if a particular attribute of an entity was not metaphysically distinct (i.e., different) from the entity which possessed it, then the entity in question would be identical to that particular attribute which it possessed. The contradiction can be illustrated with the help of an example. Take, for instance, a book. This book is an entity, and it has many attributes; e.g., a particular shape, a particular color, a particular texture, a particular odor, etc.). If the book’s color (i.e., one of the book’s attributes) was not metaphysically distinct (i.e., different) from the book itself, then the book and the book’s color would be identical—and this is contradictory. Furthermore, if the book’s odor (i.e., one of the book’s attributes) was not metaphysically distinct (i.e., different) from the book itself, then the book and the book’s odor would be identical—and this is also contradictory. However, another contradiction would arise. Since identity is transitive (e.g., If A = B, and B = C, then A = C) it follows that if the book’s color was identical to the book, and the book was identical to the book’s odor, then the book’s color would be identical to the book’s odor—and this is absurd.
Another important point concerns identity. For Rand (and Peikoff), the totality of a thing’s characteristics (attributes) constitutes a thing’s identity because the totality of a thing’s characteristics is the thing’s identity. A thing is identical to the totality of its characteristics (attributes). Suppose one asks the following question: Why is it the case that an existent apart from its characteristics would be an existent apart from its identity? Rand’s (and Peikoff’s) answer is straightforward and clear: An existent is nothing more than, and nothing less than, the totality of its characteristics. The totality of an existent’s characteristics just is the existent’s identity, and the identity of an existent just is that existent itself. For example:
“Existence and identity are not attributes of existents, they are the existents.” (ITOE, 56)
“Metaphysically, an entity is: all of the things which it is. Each of its characteristics has the same metaphysical status: each constitutes a part of the entity’s identity.” (ITOE, 98)
“A thing is—what it is; its characteristics constitute its identity. An existent apart from its characteristics, would be an existent apart from its identity, which means: a nothing, a non-existent.” (ITOE, 142)
“Now, what is an entity? It is a sum of characteristics. There is no such thing as an entity without its characteristics, and, for that very reason, there is no such thing as a characteristic without an entity….Usually when I write I say the entity is its attributes….The attributes are the entity, or an entity is its attributes.” (ITOE, 266)
“No one attribute constitutes the whole entity, but all of them together are the entity—not “possessed by” but “are” the entity.” (ITOE, 276)
“A thing’s nature is that which it is metaphysically; a thing’s nature is its identity, that which cannot be changed by miracle nor by any wish, whim, or will, God’s or man’s. This is the meaning of “A is A”.” (Letters of Ayn Rand, 528-529)
“A thing is itself; or, in the traditional formula, A is A. The “identity” of an existent means that which it is, the sum of its attributes or characteristics…Ayn Rand offers a new formulation of this axiom: existence is identity. She does not say “existence has identity”—which might suggest that identity is a feature separable from existence (as a coat of paint is separable from the house that has it). The point is that to be is to be something. Existence and identity are indivisible; either implies the other. If something exists, then something exists; and if there is a something, then there is a something. The fundamental fact cannot be broken in two.” (OPAR, 7)
“A thing cannot act apart from its nature, because existence is identity; apart from its nature, a thing is nothing. A thing cannot act against its nature, i.e., in contradiction to its identity, because A is A and contradictions are impossible. In any given set of circumstances, therefore, there is only one action possible to an entity, the action expressive of its identity. This is the action it will take, the action that is caused and necessitated by its nature.” (OPAR, 15)
“The axiom of identity holds that each thing is itself, or, as Rand frequently puts it: “A is A.” The force of this statement is perfectly captured in Bishop Butler’s famous remark, “Every thing is what it is, and not another thing.” “Identity” names the fact that everything that is is something in particular. A given thing’s identity is the sum total of all of its characteristics. Synonyms for something’s “identity” might be its “character” or its “nature,” so long as it is understood that a thing’s identity at any given moment refers to all of its attributes, actions, relations, and so on.” (Blackwell Companion to Rand, 249)
“The relation of the attributes of an entity to the whole entity; an entity is its attributes and a state of awareness is its aspects.” (Binswanger, How We Know, 57)
Likewise, Rand emphasizes that an existent does not “possess” or “have” the totality of its characteristics because that would imply that the totality of the existent’s characteristics is something distinct or different from the existent “possessive” of said totality of characteristics. It is for this same reason that Rand insists that an existent is identical to its identity, rather than “possess” or “have” its identity. To suppose that an existent “possessed” or “had” its identity would imply that the identity “possessed by” or “had by” the existent was something distinct or different from the existent itself—and this is something which Rand and Peikoff explicitly reject. Indeed, it would be to suppose that an existent was something apart from, distinct from, and different from “itself”—a contradiction. As Rand and Peikoff say: it would be “a nothing, a non-existent.”
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