As far as Eccles's contribution to the debate, the passage that Churchland quotes is the extent of that particular argument - not very illuminating, to be sure. Dr. Eccles, a Nobel-winning brain scientist and an old-fashioned Cartesian dualist, devotes the rest of the article to a detailed discussion of the neurophysiology of the brain and his thoughts about mind-brain interaction.
The argument that Popper makes in The Self and Its Brain (1973)* is that by committing to determinism you forfeit any claim to rationality; in particular, you cannot support your belief in determinism by a rational argument. Thus, determinism is self-
undermining (not self-
refuting). This argument does not provide you a reason to think that determinism is false. It only purports to show that you cannot possibly have a
rational reason for believing determinism.
* The book was written in collaboration with Eccles, but they wrote two of the three parts independently, and Churchland's references in that book are to Popper's part.
Note that by
determinism Popper means both causal determinism (the idea that "physical theory, together with the initial conditions prevalent at some given moment, completely determine the state of the physical universe at any other moment"), and more generally, "mechanical determinism," materialism, or physicalism - all of these terms are used interchangeably. His main challenge is to the idea of the causal closure of the physical world, or "World 1":
First, there is the physical world - the universe of physical entities...; this I will call "World 1". Second, there is the world of mental states, including states of consciousness and psychological dispositions and unconscious states; this I will call "World 2". But there is also a third such world, the world of the contents of thought, and, indeed, of the products of the human mind [such as stories, explanatory myths, tools, scientific theories (whether true or false), scientific problems, social institutions, and works of art]; this I will call "World 3"...
One of my main theses is that World 3 objects can be real...: not only in their World 1 materializations or embodiments, but also in their World 3 aspects. As World 3 objects, they may induce men to produce other World 3 objects and, thereby, to act on World 1; and interaction with World 1 - even indirect interaction - I regard as a decisive argument for calling a thing real. — The Self and Its Brain
Popper argues that all of these "worlds" exist and causally interact with each other. (And even within each world there are still more worlds, or layers, that likewise exhibit both upwards and downwards causation.) World 2 emerged from World 1 in the course of biological evolution, and World 3 emerged from the other two. But this order of emergence does not reflect the hierarchy of causal relationships between the worlds, because once they emerge, they begin to strongly interact with each other in every direction.
As for the argument that Churchland criticizes, it proceeds from Popper's rejection of
epiphenomenalism: the idea that the mental is causally inert and does not interact with the physical world - which to him means the same thing as to say that the mental is not real. And this leads him to conclude that "
if epiphenomenalism is true, we cannot take seriously as a reason or argument whatever is said in its support.".
The proof of this thesis is offered in the form of a lengthy dialogue between a Physicalist and an Interactionist, but my impression is that the idea of
self-defeat, declared beforehand, does not come through clearly in that dialogue. Popper once again endeavors to defend the reality and indispensability of his World 3 - the world of ideas - and once he is satisfied that he has thrashed his imaginary opponent on that point, he declares victory.
I suppose a sketch of the argument would look something like this:
1. If the physical world is causally closed (this thesis Popper variously labels as
materialism,
physicalism or
determinism), then it follows that the world of ideas is causally inert. (Some alternatives, such as the identity thesis, are rejected in separate arguments.)
2. Take any proposition, such as 1 + 1 = 2, or indeed the proposition that affirms the truth of physicalism. To what does it owe its truth? Both the proposition and any arguments in support of its truth are abstract ideas. But the physicalist only has the physical world at her disposal to make the argument. Nor can the abstract be reduced to the physical. Thus it follows that the physicalist cannot rationally support her own position.
More later.