The Principle of Perceptual Self-Exclusion
Using the Principle of Perceptual Determinacy, it can be demonstrated that no
existing, or occurring, perceptual state either has itself as its own
perceptum, or is identical to its own perceptum. In other words, for any
existing, or occurring, perceptual state, P, P is not a
“perception of P.” I call this the Principle of Perceptual Self-Exclusion. The following argument
illustrates how the Principle of Perceptual Self-Exclusion follows a priori from
the Principle of Perceptual Determinacy:
If a perceptual state, A, was a “perception of A,” then A could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, B, that was a “perception of a perception of A.” But B could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, C, that was a “perception of a perception of a perception of A.” But C could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, D, that was a “perception of a perception of a perception of A.” But D could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, E, that was a “perception of a perception of a perception of a perception of A.” But E could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, F, that was a “perception of a perception of a perception of a perception of a perception of A.” But F could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, G, that was a “perception of a perception of a perception of a perception of a perception of a perception of A.” But G could neither exist, nor occur, nor be determinate, unless it was the perceptum of an existing, or occurring, perceptual state, H, that was a “perception of a perception of a perception of a perception of a perception of a perception of a perception of A.” And so on, ad infinitum. We find that neither A, nor any of the aforementioned perceptual states, could either exist, or occur, or be determinate, unless we had reached the end of a vicious regress of perceptual states—and this, of course, is impossible. Therefore, no existing, or occurring, perceptual state either has itself as its own perceptum, or is identical to its own perceptum. Therefore, the Principle of Perceptual Self-Exclusion is true.
The Principle of Perceptual Non-Loopability
In
a similar vein to the Principle of Perceptual Self-Exclusion, I will introduce
what I call the Principle of Perceptual
Non-Loopability. This principle maintains that no n-number (n ≥ 2) existing, or occurring,
perceptual states form a series of perceptual states and percepta wherein the
first state is a “perception of the
second,” the second is a “perception of the
third,” the third is a “perception of
the fourth,” and so on—the last perceptual state in the series being a
“perception of the first.” For
clarity, I have provided a list of eight examples of perceptual “loops.”
A Digonal Perceptual “Loop”
Any situation wherein two perceptual states are such that the first is a “perception of the second,” and the second is a “perception of the first.”
A Trigonal Perceptual “Loop”
Any situation wherein three perceptual states are such that the first is a “perception of the second,” the second is a “perception of the third,” and the third is a “perception of the first.”
A Tetragonal Perceptual “Loop”
Any situation wherein four perceptual states are such that the first is a “perception of the second,” the second is a “perception of the third,” the third is a “perception of the fourth,” and the fourth is a “perception of the first.”
A Pentagonal Perceptual “Loop”
Any situation wherein five perceptual states are such that the first is a “perception of the second,” the second is a “perception of the third,” the third is a “perception of the fourth,” the fourth is a “perception of the fifth,” and the fifth is a “perception of the first.”
A Hexagonal Perceptual “Loop”
Any situation wherein six perceptual states are such that the first is a “perception of the second,” the second is a “perception of the third,” the third is a “perception of the fourth,” the fourth is a “perception of the fifth,” the fifth is a “perception of the sixth,” and the sixth is a “perception of the first.”
A Heptagonal Perceptual “Loop”
Any situation wherein seven perceptual states are such that the first is a “perception of the second,” the second is a “perception of the third,” the third is a “perception of the fourth,” the fourth is a “perception of the fifth,” the fifth is a “perception of the sixth,” the sixth is a “perception of the seventh,” and the seventh is a “perception of the first.”
An Octagonal Perceptual “Loop”
Any situation wherein eight perceptual states are such that the first is a “perception of the second,” the second is a “perception of the third,” the third is a “perception of the fourth,” the fourth is a “perception of the fifth,” the fifth is a “perception of the sixth,” the sixth is a “perception of the seventh,” the seventh is a “perception of the eighth,” and the eighth is a “perception of the first.”
And so on, ad indefinitum.
If the Principle of Perceptual Non-Loopability is
true, it would follow that no n-number
(n ≥ 2) of existing, or occurring, perceptual states form a series
of perceptual states and percepta wherein the first perceptual state in the
series is a “perception of the
second,” the second is a “perception of the
third,” the third is a “perception of
the fourth,” and so on—the last perceptual state in the series being a
“perception of the first.” Like the
Principle of Perceptual Self-Exclusion, the Principle of Perceptual
Non-Loopability follows a priori from the Principle of Perceptual
Determinacy. This can be demonstrated by means of the following argument:
If two perceptual states, A and B, were such that A was a “perception of B,” and B was a “perception of A,” then A and B could neither exist, nor occur, nor be determinate, unless A was the perceptum of an existing, or occurring, perceptual state, C, that was a “perception of a perception of B,” and B was the perceptum of an existing, or occurring, perceptual state, D, that was a “perception of a perception of A.” However, C and D could neither exist, nor occur, nor be determinate, unless C was the perceptum of an existing, or occurring, perceptual state, E, that was a “perception of a perception of a perception of B,” and D was the perceptum of an existing, or occurring, perceptual state, F, that was a “perception of a perception of a perception of A.” However, E and F could neither exist, nor occur, nor be determinate, unless E was the perceptum of an existing, or occurring, perceptual state, G, that was a “perception of a perception of a perception of a perception of B,” and F was the perceptum of an existing, or occurring, perceptual state, H, that was a “perception of a perception of perception of a perception of A.” And so on, ad infinitum. We find that neither A, nor B, nor any of the aforementioned perceptual states, could either exist, or occur, or be determinate, unless we had reached the end of a vicious regress of perceptual states—and this, of course, is impossible. Therefore, no two existing, or occurring, perceptual states are such that the first is a “perception of the second,” and the second is a “perception of the first.” Therefore, the Principle of Perceptual Non-Loopability is true.
One might object by saying that the above argument only demonstrates that a digonal perceptual “loop” can neither exist, nor occur. However, this objection rests on an overlooking the fact that the same conclusion follows if we were to substitute the digonal perceptual “loop” for a trigonal, tetragonal, pentagonal, hexagonal, heptagonal, octagonal (and so on, ad indefinitum) perceptual “loop.” Thus, we can affirm that the Principle of Perceptual Non-Loopability has been proved.
An Argument Against the Identity Theory of Mind
Let’s imagine two neighbors: John and Thomas. If John
were to have a perceptual state, A,
and A was a “perception of Thomas’s perceptual state, B,” and if Thomas’s perceptual state, B, was a “perception of John’s perceptual state, A,” then John’s and Thomas’s perceptual
states would form a digonal perceptual “loop.” However, since we have proved
the Principle of Perceptual Non-Loopability, it follows that such a digonal
perceptual “loop” can neither exist, nor occur. Therefore, if John were to have
an existing, or occurring, perceptual state, A, and A was a
“perception of Thomas’s
existing, or occurring, perceptual state, B,” then Thomas’s existing, or occurring, perceptual state, B, cannot—on pain of contradiction—be a
“perception of John’s
existing, or occurring, perceptual state, A.”
According to the Identity Theory, all of John’s
perceptual states are identical to some of John’s brain states, and all
of Thomas’s perceptual states are identical to some of Thomas’s brain
states. In other words, if John were to have an existing, or occurring,
perceptual state, A, then A would be identical to John’s
existing, or occurring, brain state, θ, and if Thomas were to have an
existing, or occurring, perceptual state B, then B would
be identical to Thomas’s existing, or occurring, brain state, ψ. Furthermore,
since the Principle of Perceptual Non-Loopability is true, we arrive at the
following result:
If
the Identity Theory is true, then if John has an existing, or occurring,
perceptual state, A, and A is a “perception of Thomas’s existing, or occurring,
brain state, ψ,” then Thomas’s existing, or occurring, brain state, ψ,
cannot—on pain of contradiction—be a “perception of John’s existing, or occurring, brain state, θ.”
Now, there is
nothing absurd or contradictory in the idea that John can perceive (i) any of
his own existing, or occurring, brain states, and (ii) any existing, or
occurring, state of Thomas’s brain whilst Thomas perceives any existing, or
occurring, state of John’s brain. Likewise, there is nothing unintelligible or
self-contradictory in the idea that Thomas can perceive (i) any of his own
existing, or occurring, brain states, and (ii) any existing, or occurring,
state of John’s brain whilst John perceives any existing, or occurring, state
of Thomas’s brain. Indeed, we must admit that it is possible—in principle—for John
to perceive (i) any of his own existing, or occurring, brain states, and (ii) any
existing, or occurring, state of Thomas’s brain whilst Thomas perceives any
existing, or occurring, state of John’s brain. Again, we must also admit that
it is possible—in principle—for Thomas to perceive (i) any of his own existing,
or occurring, brain states, and (ii) any existing, or occurring, state of
John’s brain whilst John perceives any existing, or occurring, state of Thomas’s
brain. However, if the Identity Theory is true, then it would be a
contradiction for John to perceive a certain existing, or occurring, state, ψ,
of Thomas’s brain whilst Thomas is perceiving a certain existing, or occurring,
state, θ, of John’s brain. Indeed, such a state of affairs would be impossible—in
principle. Therefore, since it is possible—in principle—for John to perceive
any existing, or occurring, state of Thomas’s brain whilst Thomas perceives any
existing, or occurring, state of John’s brain, it follows that the Identity
Theory is false. We may put the general argument in the following form:
P1) If
the Identity Theory is true, then John cannot—in principle—perceive any
existing, or occurring, state of Thomas’s brain whilst Thomas perceives any
existing, or occurring, state of John’s brain.
P2) John
can—in principle—perceive any existing, or occurring, state of Thomas’s brain
whilst Thomas perceives any existing, or occurring, state of John’s brain.
C1) Therefore, the Identity Theory is false. [From P1 and P2]
We may transpose the above argument in a way that
focuses solely on John. This variation of the argument relies solely on
Principle of Perceptual Self-Exclusion without relying on the Principle of
Perceptual Non-Loopability. The Identity Theory, as we have seen, is
committed to John’s existing, or occurring, perceptual state, P, being identical to one of John’s
existing, or occurring, brain states (at the time of John’s having of the
perceptual state, P). Since the
Principle of Perceptual Self-Exclusion is true, it follows that whenever John
has an existing, or occurring, perceptual state, P, P’s perceptum, O, cannot—in principle—be John’s
existing, or occurring, perceptual state, P.
However, it follows from this that if it is possible—in principle—for
John to have an existing, or occurring, perceptual state, P, that is a “perception of”
any one of his existing, or occurring, brain states (at the time of John’s
having of the perceptual state, P),
then John’s existing, or occurring, perceptual state, P, is not identical to any one of his existing, or occurring, brain
states (at the time of John’s having of the perceptual state, P). But if John’s existing, or
occurring, perceptual state, P, is
not identical to any one of his existing, or occurring, brain states (at the
time of John’s having of the perceptual state, P), it follows that the Identity Theory is false; for, such a
theory is committed to John’s existing, or occurring, perceptual state, P, being identical to one of John’s
existing, or occurring, brain states (at the time of John’s having of the
perceptual state, P). Since it is
possible—in principle—for John to have an existing, or occurring, perceptual
state, P, that is a “perception of” any one of his existing, or
occurring, brain states (at the time of John’s having of the perceptual state, P), it follows that the Identity Theory
is false. We may standardize the argument as follows:
P1) If the Identity Theory is true, then all of John’s existing, or occurring, perceptual states are identical to some of John’s existing, or occurring, brain states.
P2) If all of John’s existing, or occurring, perceptual states are identical to some of John’s existing, or occurring, brain states, then some of John’s existing, or occurring, brain states cannot—in principle—be the percepta of John’s existing, or occurring, perceptual states.
P3) All of John’s existing, or occurring, brain states can—in principle—be the percepta of John’s existing, or occurring, perceptual states.
C1) Therefore, the Identity Theory is false. [From P1—P3]
The
Identity Theorist cannot reject the argument’s first premise without giving up
the Identity Theory, and the Identity Theorist cannot challenge the second
premise without first refuting the Principle of Perceptual
Self-Exclusion—something which I take to have been sufficiently proved.
Furthermore, the Principle of Perceptual Self-Exclusion follows a priori from
the Principle of Perceptual Determinacy. Therefore, in order for the Identity
Theorist to reject the Principle of Perceptual Self-Exclusion, he must first
reject the Principle of Perceptual Determinacy. With respect to the third
premise, there is clearly nothing absurd or contradictory involved in the idea
that John can—in principle—perceive any given existing, or occurring, state of
his own brain whilst having an existing, or occurring, perceptual state.
Indeed, if John’s optic nerves were lengthened and his eyes positioned
correctly, he would certainly be able to perceive his own brain states (Not to mention the possibility of John using an autocerebroscope to perceive his brain states).5 Now,
suppose the Identity Theorist were to argue that whenever a perceptual state
(or a brain state) is perceived, it cannot be perceived in its entirety, but
only partially, thus a perceptual state (or a brain state) having itself as its
own perceptum would present no difficulty. Such an objection fails because it
would lead to the following contradiction: a proper part of a whole
(i.e., the perceived part of the whole
perceptual state) would be both less
than, and identical to, the whole (i.e., the
whole perceptual state) of which
it was a proper part.
Now,
there is a third argument that we may employ against the Identity Theory that
makes use of the Principle of Perceptual Self-Exclusion and the Principle of
Perceptual Non-Loopability—both of which follow a priori from the
Principle of Perceptual Determinacy. The argument takes the following form:
P1) If the Identity Theory is true, then there are some brain states which are—in principle—imperceptible.
P2) There are no brain states which are—in principle—imperceptible.
C1) Therefore, the Identity Theory is false. [From P1 and P2]
As mentioned in the preceding paragraphs, there is nothing at all incoherent or contradictory in the idea that all existing, or occurring, brain states are—in principle—perceptible; indeed, it seems that it is not only possible in theory, but also—eventually—in practice.6 As the force of the argument lies in the first premise, I will concentrate my attention on defending it the most. The first premise is based on the fact that if the Identity Theory is true, then all existing, or occurring, perceptual states are identical to some existing, or occurring, brain states. Supposing that all existing, or occurring, perceptual states are identical to some existing, or occurring, brain states, it can be demonstrated that there are some existing, or occurring, brain states which are—in principle—imperceptible. The argument is as follows:
If an existing, or occurring, perceptual state, A, is a “perception of an existing, or occurring, perceptual state, B,” then A is neither the perceptum of B, nor the perceptum of A; because if A was the perceptum of either A or B, then either the Principle of Perceptual Self-Exclusion, or the Principle of Perceptual Non-Loopability would be violated. However, this entails that A is imperceptible—in principle—unless A was the perceptum of an existing, or occurring, perceptual state, C,—a perceptual state that was different from A and B.
Indeed, if A was the perceptum of A, then we would have an existing, or occurring, perceptual state that had itself as its own perceptum—a clear violation of the Principle of Perceptual Self-Exclusion. Furthermore, if A was the perceptum of B, then we would have a digonal perceptual “loop”—a clear violation of the Principle of Perceptual Non-Loopability.
However, this entails that C is imperceptible—in principle—unless C was the perceptum of an existing, or occurring, perceptual state, D,—a perceptual state that was different from A, B, and C.
Indeed, if C was the perceptum of C, then we would have an existing, or occurring, perceptual state that had itself as its own perceptum—a clear violation of the Principle of Perceptual Self-Exclusion. Furthermore, if C was the perceptum of either A or B, then we would have either a digonal, or trigonal, perceptual “loop”—a clear violation of the Principle of Perceptual Non-Loopability.
However, this entails that D is imperceptible—in principle—unless D was the perceptum of an existing, or occurring, perceptual state, E,—a perceptual state that was different from A, B, C, and D.
Indeed, if D was the perceptum of D, then we would have an existing or occurring, perceptual state that had itself as its own perceptum—a clear violation of the Principle of Perceptual Self-Exclusion. Furthermore, if D was the perceptum of either A, B, or C, then we would have either a digonal, trigonal, or tetragonal perceptual “loop”—a clear violation of the Principle of Perceptual Non-Loopability.
However, this entails that E is imperceptible—in principle—unless E was the perceptum of an existing, or occurring, perceptual state, F,—a perceptual state that was different from A, B, C, D, and E.
Indeed, if E was the perceptum of E, then we would have an existing, or occurring, perceptual state that had itself its own perceptum—a clear violation of the Principle of Perceptual Self-Exclusion. Furthermore, if E was the perceptum of either A, B, C, or D, then we would have either a digonal, trigonal, tetragonal, or pentagonal perceptual “loop”—a clear violation of the Principle of Perceptual Non-Loopability.
However, this entails that F is imperceptible—in principle—unless F was the perceptum of an existing, or occurring, perceptual state, G,—a perceptual state that was different from A, B, C, D, E, and F.
Indeed, if F was the perceptum of F, then we would have an existing, or occurring, perceptual state that had itself as its own perceptum—a clear violation of the Principle of Perceptual Self-Exclusion. Furthermore, if F was the perceptum of either A, B, C, D, or E, then we would have either a digonal, trigonal, tetragonal, pentagonal, or hexagonal perceptual “loop”—a clear violation of the Principle of Perceptual Non-Loopability.
And so on, ad infinitum.
We are forced into a vicious infinite regress. Every new existing, or occurring, perceptual state needing to be posited to account for another perceptual state’s imperceptibility would itself be imperceptible—in principle—unless another existing, or occurring, perceptual state were posited; however, this existing, or occurring, perceptual state would itself be imperceptible—in principle—unless another existing, or occurring, perceptual state were posited, and so on, ad infinitum. Therefore, since the regress is vicious, it follows that there are some existing, or occurring, perceptual states which are—in principle—imperceptible. However, this means that if all existing, or occurring perceptual states are identical to some existing, or occurring, brain states, then some existing, or occurring, brain states are—in principle—imperceptible. But, as we saw above, all existing, or occurring, brain states are—in principle—perceptible. Therefore, it follows that some existing, or occurring, perceptual states are not brain states. Since the truth of the Identity Theory rests upon all existing, or occurring, perceptual states being identical to some existing, or occurring, brain states, it follows that the Identity Theory is false.
I have provided a diagram illustrating the vicious regress and the two-horned dilemma which follows from it. Each of the circles represent a particular perceptual state (e.g., Perceptual State A, Perceptual State B, Perceptual State C, Perceptual State D, Perceptual State E, and Perceptual State F). If a circle is green, then said perceptual state is the perceptum of another perceptual state (i.e., It is perceived). If a circle is red, then said perceptual state is not the perceptum of another perceptual state (i.e., The perceptual state is imperceptible). A black arrow pointing from one perceptual state to another perceptual state signifies that the former perceptual state is a perception of the latter perceptual state (e.g., The black arrow pointing from Perceptual State A to Perceptual State B signifies that Perceptual State A is a perception of Perceptual State B). A red arrow pointing from one perceptual state to another perceptual state signifies that the former perceptual state is not, and cannot be, a perception of the latter perceptual state—on pain of violating the Principle of Perceptual Self-Exclusion (e.g., The red arrow pointing from Perceptual State B to Perceptual State A signifies that Perceptual State B is not, and cannot be, a perception of Perceptual State A—on pain of violating the Principle of Perceptual Self-Exclusion). Perceptual situations contained in red boxes violate either the Principle of Perceptual Self-Exclusion (e.g., Fig. 1) or the Principle of Perceptual Non-Loopability (e.g., Fig. 3, Fig. 5, and Fig. 7). Perceptual situations contained in green boxes neither violate the Principle of Perceptual Self-Exclusion, nor the Principle of Perceptual Non-Loopability; however, in such perceptual situations, there is always a remaining perceptual state—an
imperceptible one—that is left unaccounted for (e.g., Fig. 2, Fig. 4, Fig. 6, and Fig. 8).

Addressing Two Objections
First Objection
“I
wondered why one couldn’t perceive the contents of perception at different
times. Perhaps when a tree is the perceptum of a perceptual state (brain state B), I could later have a new
perceptual state to perceive brain state B.
Then all the brain states would still be perceptible in principle.”
My concern with the proposed solution is that it faces the same dilemma that would arise if the perceptual states were simultaneous. Let me try to illustrate the issue:
If an existing, or occurring, perceptual state A was a “perception of a perceptual state, B,” and B had either existed, or occurred, prior to A, then A could have neither been the perceptum of B (since A hadn’t even existed yet to be the perceptum of B), nor could A have been the perceptum of A (without violating the Principle of Perceptual Self-Exclusion). However, it follows from this that A would be imperceptible—in principle—unless it was the perceptum of another existing, or occurring, perceptual state, C,—a perceptual state that was itself different from A and B. Now, it is clear that if C either existed, or occurred, later than A and B, then C could have neither been the perceptum of A, nor the perceptum of B (since C hadn’t even existed yet to be the perceptum of either A or B). However, if C was the perceptum of C, then the Principle of Perceptual Self-Exclusion would have been violated. Thus, C would be imperceptible—in principle—unless it was the perceptum of another existing, or occurring, perceptual state, D,—a perceptual state that was different from A, B, and C. And so on, ad infinitum.
Just as before, every new existing, or occurring, perceptual state needing to be posited to account for another perceptual state’s imperceptibility would itself be imperceptible—in principle—unless another existing, or occurring, perceptual state were posited; however, this existing, or occurring, perceptual state would itself be imperceptible—in principle—unless another existing, or occurring, perceptual state were posited, and so on, ad infinitum. In short, no matter how many perceptual states we posit, we will always get stuck with a “imperceptible” remainder left unaccounted for.
Second Objection
“If
I follow, the core point is that a perceptual state’s character is inherited by
its perceptum—the object of the perceptual state
(q.v. The Principle of Perceptual Determinacy); and since a perceptual
state’s character is “fixed” or rendered determinate by its perceptum, it
follows that the perceptum of a perceptual state must have a character
independent of that perceptual state. From this it seems to follow that (i) a perceptual
state cannot be a “perception of itself” (q.v. The Principle of
Perceptual Self-Exclusion), (ii) no two perceptual states can be of one
another, and (iii) no n-number (n
≥ 2) of perceptual states can form a series of perceptual states and
percepta wherein the first perceptual state in the series is a “perception of the second,” the second is a
“perception of the third,”
the third is a “perception of the
fourth,” and so on—the last perceptual state in the series being a “perception of the first.” (q.v. The Principle of Perceptual
Non-Loopability).
However, if the Identity Theory
is true, and all perceptual states are identical to some brain states,
then it is possible—in principle—for a perceptual state to be a “perception of
itself”; indeed, it is possible—in principle—for someone to have a perceptual
state of any of their brain states. For consider, a person can perceive
any of their brain states (a) in a mirror, (b) by having their optic nerves surgically
extended—a medical operation which, if not capable of being performed with
today’s technology, is by no means incapable of being accomplished in the near future,
or even (c) by means of Feigl’s hypothetical autocerebroscope. Furthermore,
if the Identity Theory is true, and all perceptual states are identical
to some brain states, then it is possible—in principle—for two perceptual
states to be of one another; indeed, it is possible—in principle—for two
craniotomy patients to be positioned in such a way so that they perceive one
another’s brain states simultaneously. Likewise, if the Identity Theory is
true, then it is possible—in principle—for n-number
(n ≥ 2) of perceptual states to form a series of perceptual states
and percepta wherein the first perceptual state in the series is a “perception of the second,” the second is a
“perception of the third,”
the third is a “perception of the
fourth,” and so on—the last perceptual state in the series being a “perception of the first.” Indeed, like before with
two craniotomy patients, it is possible—in principle—for n-number (n
≥ 2) of craniotomy patients to be arranged in such a way that the first patient
in the group perceives any one of the brain states of a second patient, the
second perceives any one of the brain states of the third, the third perceives any
one of the brain states of the fourth, and so on—the last patient in the group perceiving
any one of the first patient’s brain states. Therefore, the Identity
Theory is false.
It
seems to me that the best reply for an Identity Theorist would probably be to
say that it is not true that a perceptual state inherits its character
from its object. Rather, a perceptual state represents an object/character that
may or may not exist. And so, there is no problem with a perceptual state being
of itself, any more than there is a problem with other cases of
reflective representation (e.g., the
novel, Don Quixote, is, in part,
about the novel, Don Quixote).”
There appear to be a couple of difficulties entailed by this suggested response. My first concern is that there seems to be a serious dilemma when it comes to the self-representation involved in a perceptual state having itself as its own perceptum. Coincidentally, A.E. Taylor’s criticism of Josiah Royce’s conception of the Absolute as a self-representing system parallels the issues involved in the actual implementation of a perceptual state that had itself as its own perceptum:
“Professor Royce’s own illustration of the map of England executed upon a portion of the surface of the country is really a typical instance of a self-contradictory purpose. He argues that such a map, to be theoretically perfect, must contain a reduced facsimile of itself as part of the country mapped, and this again another, and so on indefinitely. But the whole force of the reasoning depends on overlooking the distinction between the surface of England as it is before the map is made, and the surface of England as altered by the presence of the map. Prof. Royce assumes that you set out to represent in the map a state of things which can in fact have no existence until after the map is made. The previous existence of the map at a certain spot is falsely taken to be one of the conditions to which the map-maker is to conform in executing it. Every one of the supposed “maps within the map” will thus involve distortion and misrepresentation of the district it proposes to map. It is as if Hamlet had chosen “Hamlet” as the subject of the “play within the play.” The professor’s illustration thus does less than justice to his theory.” (Taylor, Elements of Metaphysics, 150)
My second concern is that the proposed objection (i.e., that no existing, or
occurring, perceptual state has any of its characteristics determined by the
characteristics of its perceptum) ends up vindicating the Principle of Perceptual Self-Exclusion—the
very principle the objection sought to dissolve. The self-undermining character
of the proposed objection can be made more explicit with the help from the
following argument (an argument inspired by J.M.E. McTaggart’s conception of
“Intrinsic Determination” as a relation between characteristics):
Let X represent the characteristic of “having the characteristic of ‘neither existing, nor occurring, if perceptual state, P, neither exists, nor occurs’.”
Let Y represent the characteristic of “neither existing, nor occurring, if perceptual state, P, neither exists, nor occurs.”
Now, the occurrence of X as a characteristic in a given thing “intrinsically determines” the occurrence of Y as a characteristic in a given thing because the proposition “something has the characteristic X” implies the proposition “something has the characteristic Y.” As a matter of fact, the occurrence of X as a characteristic in a given thing determines the occurrence of Y as a characteristic in that very same thing which possesses X as a characteristic.
Now, if an existing, or occurring, perceptual state, P, has none of its characteristics determined by any of the characteristics of its perceptum, then it immediately follows that no existing, or occurring, perceptual state, P, has itself as its own perceptum. This can be demonstrated in the following manner:
If an existing, or occurring, perceptual state, P, had itself as its own perceptum, then P’s perceptum would have the characteristic of “having the characteristic of ‘neither existing, nor occurring, if P neither exists, nor occurs’.” However, the “having” of this characteristic by P’s perceptum would thereby determine the occurrence of the characteristic of “neither existing, nor occurring, if P neither exists, nor occurs,” in P’s perceptum. However, ex hypothesi, P’s perceptum is P itself. Thus, X being a characteristic of P’s perceptum would intrinsically determine Y as a characteristic of P. In other words, if no existing, or occurring, perceptual state, P, has any of its characteristics determined by the characteristics of its perceptum, it follows that no existing, or occurring, perceptual state, P, has itself as its own perceptum. And since the Principle of Perceptual Self-Exclusion holds that no existing, or occurring, perceptual state, P, has itself as its own perceptum, it follows that the Principle of Perceptual Self-Exclusion is true.
The proposed objection to our argument (i.e., that no existing or occurring perceptual state has any of its characteristics determined by the characteristics of its perceptum) has thus ended up vindicating the Principle of Perceptual Self-Exclusion.
If the preceding arguments are sound, then the Identity Theory of Mind would have been refuted—refuted not by an appeal to the apparent qualitative character of our subjective life, but through an analysis of the hidden implications embedded in the very conditions that must be satisfied in order for perceptual states and their percepta to either exist or occur.