Philosophia (2024) 52:235–244
https://doi.org/10.1007/s11406-024-00732-6
The Gap in the Knowledge Argument
Barbara Montero1
Received: 8 February 2024 / Revised: 13 March 2024 / Accepted: 5 April 2024 / Published online: 4 June 2024
© The Author(s) 2024
Abstract
Alter (The Matter of Consciousness: From the Knowledge Argument to Russellian Monism, GB: Oxford University Pres, 2023) argues for something surprising:
despite being widely rejected by philosophers, including Frank Jackson himself,
Jackson’s knowledge argument succeeds. Alter’s defense of Jackson’s argument
is not only surprising; it’s also exciting: the knowledge argument, if it’s sound,
underscores the power of armchair philosophy, the power of pure thought to arrive
at substantial conclusions about the world. In contrast, I aim to make a case for
something unsurprising and unexciting: that the knowledge argument does not succeed, or, even less far-reaching, that Alter’s defense of it is not persuasive. Mine is
a classic file-drawer thesis, but what it has going for it is that it’s true, or so I think,
and hope to illustrate why you should too.
Keywords Knowledge argument · Frank jackson · Consciousness · Reduction · A
priori
In The Matter of Consciousness: From the Knowledge Argument to Russellian
Monism, Torin Alter argues for something surprising: despite being widely rejected
by philosophers, including Frank Jackson himself (1994), Jackson’s (1982, 1986)
knowledge argument—in essence, that not all facts are physical facts because you
cannot learn what the experience of seeing color is like from black and white information—succeeds. Alter’s defense of Jackson’s argument is not only surprising; it’s
also exciting: the knowledge argument, if it’s sound, underscores the power of armchair philosophy, the power of pure thought to arrive at substantial conclusions about
the world. In contrast, I aim to make a case for something unsurprising and unexciting: that the knowledge argument does not succeed, or, even less far-reaching, that
Barbara Montero
bmontero@nd.edu
1
University of Notre Dame, Notre Dame, IN, USA
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Alter’s defense of it is not persuasive. Mine is a classic file-drawer thesis, but what
it has going for it is that it’s true, or so I think, and hope to illustrate why you should
too.
The knowledge argument moves from the inadequacy of black-and-white information to convey what it is like to see color, to a conclusion about the falsity of the
metaphysical doctrine of physicalism. But how does it make this move? according
to Alter, the argument, in its Sunday best, proceeds roughly as follows: Mary, without ever having color experience, “learns the complete physical truth”(Alter, 5) and,
because she has perfect powers of deduction, from this truth, she can “deduce any
phenomenal truth that is deducible from the complete physical truth” (Alter, 15), yet
since she learns something new upon seeing red for the first time, not all truths are
deducible from the complete physical truth, which, assuming that physicalism is the
view that all facts are deducible from the complete physical truth, means that physicalism is false.1
What is my objection to this argument? Let me start with what might seem a mere
quibble—a point some may think ought to be locked in the file cabinet once and for
all—but it’s a quibble that prevents me from understanding the aim of the argument:
I can’t make sense of what Alter means by “the complete physical truth” (Alter, 19).2
Alter tells us that to know the complete physical truth is to know all the fundamental
facts of physics (Alter, 19). But how should we understand these? If we understand
them as the fundamental facts of today’s physics, there will be many things about the
world Mary doesn’t know—for example, she won’t know why the universe contains
far more matter than antimatter—and will not know even when she escapes from her
imprisonment since today’s science has yet to explain them. If the physics in question is simply some future physics, this physics may also be incomplete. Does Alter
mean by “the complete physical truth” the truth about the fundamental nature of the
world that a true and complete physics will offer? On what for me (following Quine,
1981; Van Fraasen, 1996) is the natural understanding of what it means to be a true
and complete physics, he can’t because on that understanding a true complete physics
is just that: true and complete, or, in other words, one that correctly accounts for the
fundamental nature of everything. Perhaps we will never achieve a true and complete physics. However, given that consciousness exists, then this physics would, by
definition, account for the fundamental nature of consciousness. Thus physicalism,
understood as Alter seems to, that is, as the thesis that everything, or basically everything—he excludes negative as well as indexical and related facts (Alter, 20–21)—is
either part of or grounded in fundamental physics, would be true from the outset of
the argument; if Mary knows the fundamental physical fact, which reveals the fundamental nature of everything, and has perfect powers of deduction, then, by definition,
1
This is roughly but not exactly the argument since Alter’s conclusion is more nuanced: as he sees it, even
at its best, the knowledge argument is consistent with the truth of a Russellian Monism.
2
To be sure, one can address an issue without fully understanding all of the concepts involved in stating
the issue. Indeed, our understanding concepts often must proceed hand in hand with empirical and philosophical investigations—it’s only at the end of the investigation that we’ll fully understand what, say, a
black hole is. However, I, at least, need, at the outset, a working notion of key concepts of an inquiry, and
when it comes to Alter’s “the complete physical truth,” I don’t have this.
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she knows everything.3 So if the knowledge argument is to have any hope of questioning physicalism, “the complete physical truth” must mean something other than
the theory that accounts for everything.
The difficulty of understanding what counts as physical for the purpose of formulating the thesis of physicalism—a problem I refer to as the “body problem”
(Montero, 1999) is an old problem (one finds it in Chomsky, 1995, Hempel, 1980,
and as I argue in Montero 2015a, even in Hegel 1830/1971), and it’s one that Alter
does address towards the end of the book, suggesting that, following Robert J. Howell (2012), we may be able to understand physical properties as properties that, in
Howell’s words, have “implications for the distribution of things in space over time”
(342). I don’t think Howell’s suggestion works. Not only might physicalists want to
leave open some physicists’ speculations, however outré, that spacetime may be an
illusion (Unzicker, 2020) without this showing that there are no physical properties,
but also, if interactive dualism is true, the Cartesian mind has “implications for the
distribution of things in space over time.”4 And if the thesis of physicalism is going
to be inconsistent with any thesis, it should, I would think, be inconsistent with the
thesis of Cartesian dualism.5
Alter, however, is not committed to Howell’s circumvention of the body problem.
Jessica Wilson (2006), he thinks, also has an adequate proposal for understanding
what it means to be physical. According to Wilson, to be physical is to be “treated,
approximately accurately, by current or future (in the limits of inquiry, ideal) versions
of fundamental physics” and “is not fundamentally mental” (quoted by Alter, 215). I
am sympathetic to this view, however, as I’ve argued in Montero (2001) in response
to a similar proposal by Papineau (1993), I see no reason for the first conjunct: if what
is at issue is what is approximately accurately treated by current or ideal physics,
then, if ideal physical is the theory that accurately treats everything, this requirement
provides no additional restrictions on what is to count as physical that are not also
present in the “not fundamentally mental” requirement.
Should Alter understand “physical” in the thesis of physicalism as whatever is not
fundamentally mental?6 Although I think such a proposal—sometimes referred to
as the “via negativa” (Gillett & Witmer, 2001; Montero & Papineau, 2005; Worley,
2006)—still has flaws (Montero, 2001, 2006, 2012, Montero & Brown, 2018), I also
think that it offers at least a rough idea that one might use upon entering the debate
over physicalism. However, Alter doesn’t like this approach since, although I was
3
One can, if one likes, simply understand the fundamental physical properties as all the fundamental
properties—Chomsky’s (1995) position is close to that—but if one does, no argument could then show
that there are fundamental properties that are not physical; physicalism would be true by definition.
4
If the multiverse hypothesis is correct, there are universes that have no “implications for distributions of
things in space over time” in our universe, but perhaps Howell would say that, nonetheless, the truth of
physicalism would require that all properties in these universes have spatiotemporal effects.
5
Perhaps Alter and Howell think that interactive dualism is impossible. But it is not clear that it is (see
Montero, 2022a, Chap. 1). Furthermore, it would seem preferable to have a definition of the physical that
does not turn on the assumption that interactive dualism is impossible.
6
This is not quite perfect (alas, except for the cat and the mechanical clock, so few things are). Shouldn’t
fundamental normativity also be excluded? What if the world is infinitely compostable? What if fundamentality is profligate? But I argue that it can be adjusted to address such problems (Montero, 2001, 2005,
2006), yet there is a further issue (Montero, 2013).
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simplifying before, he thinks that the correct conclusion of the knowledge argument
is not simply that physicalism is false, but rather that either physicalism is false or
Russellian monism is true, where Russellian monism can be as a version of physicalism (Montero, 2010, 2015b). Now, if Mary knows all the fundamental facts that
are not mental and all facts that are reducible to or can be derived from fundamental
non-mental facts, then what she doesn’t know is going to be something irreducibly
mental, which for via negativaists is something nonphysical. Thus, identifying the
physical, in the knowledge argument, with that which is not fundamentally mental
would prevent Alter (given his other assumptions) from deriving his preferred disjunctive conclusion to the argument.
Alter has the prerogative, of course, to advocate for the conclusion of his choosing. But how should he understand the complete physical truth in a way that leaves
open his disjunctive conclusion? One suggestion might be to understand the complete physical truth as the concatenation of all structural truths, where the structural,
following Chalmers (2010), is roughly that which can be fully characterized using
only “logical, mathematical, nomic, and perhaps spatiotemporal vocabulary” (Alter,
29). And, although Alter doesn’t define the complete physical truth as the complete
structural truth, he does understand physics in structural terms. Thus, it resonates
with his approach.
Is the structuralist solution to the body problem viable? I think it might at least
give us something to go on. Nonetheless, as is my wont, I have trouble understanding
the nature of the structural.7 The answer that Alter offers is that the structural is that
which can be fully expressible in exclusively logical, mathematical, nomic, and perhaps spatiotemporal terms. But how are we to understand these? Since the “perhaps”
qualification is there to exclude the temporal properties of the Cartesian mind and
other fundamentally mental phenomena (Alter, 33), and if we take the mathematical
and logical to cover the non-spatiotemporal (something Alter could push back on),
I am left feeling that the structural devolves into roughly the non-spatiotemporal
and the spatial and/or temporal as long as it’s not fundamentally mental, or, in other
words (since the non-spatiotemporal and the spatial and/or temporal would seem to
everything), devolves into a via negativa account of the physical as the fundamentally not mental.8
I also wonder how we are to understand the mathematical component of the structural. The structural understanding of the complete physical truth grounds the physical world—the world of sticks and stones—partially in mathematics, but others, such
as Maddy (1990), have grounded mathematics in the physical world. Which direction
is the dependence? Furthermore, If you understand mathematical truths as grounded
in our psychology, as do Locke (1690) and Mill (1846), mathematics is grounded in
the mind, yet presumably one does not want the theory of physicalism to imply that
the mental is grounded in the logical, mathematical, nomic and perhaps spatiotemporal and the mathematical is grounded in the mental. Fictionalism about mathematics,
7
Not that motivation matters, but I wonder if Russell’s early idealist leanings (see Hylton, 1993 for discussion) are in part responsible for his thinking of science as entirely relational.
8
But I also wonder why Chalmers (2010) need to make this concession since the Cartesian mind has
temporal properties but not spatiotemporal properties.
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a view favored by Rosen (2001) and Leng (2010), among others, might not be such
an attractive option either, since not only is the fiction one we create, but it might also
seem to skirt too close the view that the aspect of the physical world that is supposed
to be grounded in the mathematical is actually grounded in nothing.
Two views that remain regarding how to understand the mathematical nature of
the world for the purpose of defining physicalism are structuralism and platonism.
Should Alter’s physicalism embrace structuralism or platonism? Structuralism would
seem to be a reasonable answer since the idea is, after all, that physicalism grounds
consciousness in structure. But what type of structuralism? Some structuralists about
mathematics (Hellman, 1989) see structure as grounded in the concrete world. Yet
adopting this understanding of structuralism would, for Alter’s purposes, again seem
to get the dependence relation backwards. Others (Benacerraf, 1965) are anti-realists
about structure, resulting in a physicalism that teeters again somewhat too closely
towards the view that everything arises out of nothing.9 This leaves understanding
structure as abstract (Linnebo, 2017), which means that if we take the structural route
of understanding mathematics, the result is a kind of platonism. Is this a problem?
According to Schneider (2017), physicalism is inconsistent with the existence
of abstract entities. And some physicalists, rather than taking the most fundamental physical properties as abstract, exclude abstracta from the physical base in part
because they take physicalism as a theory about the concrete world (see Montero,
2017 for discussion). Furthermore, many, following Benacerraf (1973), argue that
mathematics cannot be abstract since our knowledge of math would be threatened.10
I, however, think it is possible to respond to views along the lines of Schneider’s
and Benacerraf’s (Montero, 2017, 2022a). So I don’t think these concerns necessarily pose a problem for thinking of the physical in in terms of the structural. Can
the higher-level facts about such things as chemical bonding and photosynthesis be
deduced from fundamental structural facts? Perhaps it’s just me—and I’ve been in
this business long enough to know that it is frequently just me—but I don’t have
much confidence that these higher-level facts could be logically deduced from purely
structural facts. Are there examples of deductions of one domain of knowledge from
a distinct domain, deductions in which the conclusion follows with logical necessity
from the premises? For example, can we deduce facts about, say, orchidology, from
structural facts? Even one example of a deduction—written out in full detail so each
step is logically or mathematically justifiable—from purely structural facts to facts
about chemistry or botany would go a long way towards helping me to see how the
deducibility claim could be true.
In fact, I tend to question whether there are many fully reductive explanations in
science at all.
The typical examples of successful reductions in science that philosophers offer—
lightning is reducible to electrical discharge, water to H2O, and the gene to DNA—
are, I think, not true reductions. For example, as I argue in (Montero, 2022b), there are
many cases of electrical discharge—the spark between your finger and the doorknob,
9
I’m assuming, following Maddy (2012), that the metaphysics of logic can be treated similarly to the
metaphysics of mathematics, yet there is the perhaps spatiotemporal to prevent the fall.
10
Not exactly nothing since, again, the perhaps spatiotemporal remains.
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the sparks generated by a dust storm or a Van de Graaff generator, the reddish-orange
flashes in the upper atmosphere, called “sprites”—that are not cases of lightning. And
drinking water does not exclusively contain H2O; furthermore, if you were served
ultrapure water—highly purified water used, for example, in pharmaceutical manufacturing—when you requested a glass of water, it would make perfect sense for you
to say, this is not what I requested— “I wanted water not ultrapure water” would be a
reasonable thing to say (especially since drinking ultrapure frequently would not provide you with important electrolytes and, if it was your only source of liquid hydration, could lead to serious health complications whereas drinking normal amounts of
water is not, one would think, supposed to be harmful to your health). And, as for the
identity between the gene and DNA, long sequences of DNA lie between genes. To
be sure, proponents of reduction would likely respond that in claiming that the gene
is reducible to DNA, they are merely speaking in an abbreviated manner and that the
correct analog would be much more complex. Yet once the complexities are spelled
out, internecine squabbles may arise. For example, scientists debate whether the gene
reduces exclusively to the sequence of DNA transcribed to RNA or to all of the DNA
involved in this transcription process, including enhancers and promoters that might
be completely separated from the sequence being transcribed.11 Perhaps such reductions can be carried out, but right now, to me, the claim that they can is a leap of faith.
In sum, I feel I do not have enough evidence from successful reductions in science
to make the leap from the fact that there are reductions in science to the conclusion
that all higher-level facts—even excluding those concerning conscious experience—
are deducible from lower-level ones, especially lower-level ones stated in exclusively
structural terms. Will there always be phenomena, even outside the realm of consciousness, that we do not know how to reduce? I side with Niels Bohr, who was
fond of the old Danish saying, “it is difficult to make predictions, especially about
the future.”
I also think that physicalists do not even need to be committed to the metaphysical
supervenience of the higher-level properties on the lower-level ones (Montero, 2013,
and Montero & Brown, 2017). Alter rejects my view because he thinks that “traditionally, physicalism is conceived as a variety of monism,” and the rejection of supervenience would lead to a world “in which pluralism is true” and, also, that when we
are concerned about whether the mind is physical, it is irrelevant whether, for example, botany supervenes on chemistry and chemistry on physics (194). I am unmoved.
If one thinks that physicalism must be a species of monism, a world in which there
are no supervenience relations between physics and chemistry and chemistry and
botany can still be thought of as a monistic world since, if my proposal is correct,
everything in it could still count as physical. To say that the failure of the chemical
to supervene on the physical indicates that the chemical is not physical is to beg the
question. More generally, I think that counting how many kinds of things there are
is relative to one’s interests (Montero, 2022a). How many kinds of things are in my
fruit bowl? Is the answer “one,” since every item is a fruit? Or should I say “three,”
since I have apples, oranges, and a grapefruit? Or “two”: citrus and pome? Does the
air count? The bacteria? It depends on what matters to you. As the structural is the
11
Some of this paragraph is taken from Montero (2022b).
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mathematical, the logical, the nomic, and perhaps spatiotemporal, one could just as
easily call this a type of pluralism. And as to Alter’s claim that the non-supervenience
of the chemical on the world of physics is it is irrelevant to the discussion of whether
the mind supervenes on the brain, I disagree. If chemical bonds fail to supervene on
quarks, leptons, and so forth, then physicalists would not (and I think it would be reasonable for them to not) say chemical bonds are immaterial. Rather, they would and
could reasonably claim that the supervenience of the chemical on the stuff of physics
is not required for the chemical to be physical, and if it’s not required in that domain,
it should not be required in the mind-brain domain either.
But let’s say that the complete physical truth can be understood along via negativa
or structural or some other reasonable lines and that Mary learns it and that all higherlevel features of the world (features that are supervenient on or perhaps reducible to
lower-level features of the world) are deducible–in the relevant a priori sense–from
the fundamental physical fact (understood along via negativa or structural lines) and
that Mary has perfect logical powers of deduction, and, moreover, that she’s surprised upon seeing red for the first time. Is a physicalist position—a non-Russellian
physicalist position—consistent with these premises? I have argued that it is (2007).
Even if all the higher-level facts are deducible from the relevant lower-level facts
(which, we can take to imply that physicalism is true), and even if Mary has perfect
powers of deduction, she still might not be able to deduce what it is like to see red
in her black and white environment since in order to understand the conclusion of
her deduction—the conclusion that seeing red is like this, where “this” refers to the
conscious experience of seeing red12—she may need (and I think it is reasonable
to think that she does need) to have experienced what it is like to see at least some
colors.13 What is it like to see red would be a priori deducible in the sense that from
a bunch of information about what is going on in the brain it a priori follows—in
Alter’s sense that “the justification of each step will make no essential appeal to
experience”—that experiencing red is like this, even if understanding what the “this”
requires having experienced red. Similarly, I might be able to deduce a priori from
the fact that the Antikythera mechanism is smaller than a breadbox, a breadbox is
smaller than an elephant, and the smaller than-relation is transitive, that the Antikythera mechanism is smaller than an elephant, however, I won’t be able to understand
what I’m saying unless I have some sense of what the terms mean. Of course, I can
learn what an Antikythera mechanism is without ever having experienced one: it’s an
Ancient Greek mechanical model of the solar system. But the point still holds if we
substitute in color squares for the mechanism and elephant: This red patch is smaller
than that blue patch, and that blue patch is smaller than that yellow patch, therefore,
the red patch is smaller than the yellow patch. Mary can a priori deduce this conclusion from the premises–the justification of each step of her reasoning will not require
experience– yet she won’t fully understand her conclusion without ever having seen
colors. And that she can’t, has no bearing on whether physicalism is true; or at least
12
It does not refer to a particular conscious experience of seeing red, but to the type of thing that is the
conscious experience of seeing red.
13
I’m leaving open the possibility that she might know what it is like to see red if she’s experienced a
range of colors, including orange, yellow, blue, and purple, but not red.
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it doesn’t on the via negativa or the structural account: the world could still be at its
most fundamental level entirely nonmental or structural. As Kant points out, some
knowledge, although rightfully a priori, involves concepts that “can be derived only
from experience” (Critique of Pure Reason, B3).
Maybe Alter thinks that what I’m calling Mary’s a priori deduction—a deduction arriving at a conclusion she can’t understand unless she has had color experience, is not rightfully a priori. Kant argues, for example, that “every change has a
cause,” is a priori—it is what he refers to as “impure a priori” in contrast to “pure a
priori”(Critique of Pure Reason B3)—even though to understand what a change is
one needs to have had the experience of change, and I want to say that, similarly, the
fact that seeing red is like this could be a priori deducible from some statement about
the neurological processes in Mary’s brain (on the assumption, which I questioned
earlier, that, roughly put, the divisions between the sciences are connected by reducibility relations) even though in order to understand what the “this” refers to, Mary
will have had to have experience red.14 Thus, I think that one can accept that Mary
learns something new upon leaving her black-and-white environment, that she knew
all the lower-level features of the world that were not mental (or were structural),
that she has perfect powers of deduction, and that physicalism is true even in the
strong sense that there is nothing more to the world than lower level nonmental (or
structural) phenomena and all higher-level phenomena that are reducible to this lower
level phenomena.
I’m done for now. I hope to have persuaded some of you of my perspective on the
knowledge argument, and I look forward to Alter’s responses to my comments—for
I’ve been in this business long enough also to know that there are always responses.
Declarations
Conflict of interest I declare that I have no conflict of interest.
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14
Does understanding change require experience? I’m not sure. I might have thought that understanding
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required to understand.
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