Do you think that computers do not deal with numbers and apply logical principles, or do you think that the processes occurring in computers cannot be explained in terms of the interactions of matter, or...? — wonderer1
It's part of a larger argument, that I've tried to develop here and elsewhere.
First, as regards computers, I think their capacities can be explained solely in terms of the physical sciences, but then, they're human artefacts. Humans invented them to perform tasks, and they do that extraordinarily well, mainly through the miracle of miniturisation which has allowed billions of transistors to be accomodated on a chip the size of a fingernail. No argument that they're not physical, but then, they are not
beings. They're devices that can now emulate, among other things, some aspects human intelligence (and indeed I am now using ChatGPT on a daily basis). The reason they exist is because we imbue them with some aspects of our own intelligence, and interpret their output by the same means.
The larger argument is that logic comprises solely the relationship of ideas, and cannot be reduced to the physical. Here I am drawing on the argument from reason. The argument from reason challenges naturalism, which is the belief that all phenomena, including human thoughts and reasoning, can be explained solely in terms of natural, physical processes (such as physical interactions). According to this argument, if naturalism were true, reasoning can be explained in terms of neurochemistry, on the basis of material or efficient causation. And it this is true, reason could be described as the output of physical processes, devoid of purpose or intentionality. But the very ability to reason and to engage in rational discourse presupposes the existence of intentionality and purpose, and the ability to grasp abstractions (such as if...then). Reasoning involves judgement, making logical inferences, and seeking truth. If our thoughts were simply the result of physical causation, they would lack the ability to genuinely apprehend truth or to be rationally justified. (I think this is why Daniel Dennett continually teases the idea of humans as
moist robots.)
Arguments of this kind have been pursued by Christian apologists such as C S Lewis and Alvin Plantinga, however, I have no interest in using them for any theistic reason, only to show how materialism itself undercuts something essential about the nature of reason. A similar line of argument is found in Thomas Nagel's essay,
Evolutionary Naturalism and the Fear of Religion, which argues in a similar vein about ascribing the faculty of reason solely to evolutionary biology:
The only form that genuine reasoning can take consists in seeing the validity of the arguments, in virtue of what they say. As soon as one tries to step outside of such thoughts* one loses contact with their true content. And one cannot be outside and inside them at the same time: If one thinks in logic, one cannot simultaneously regard those thoughts as mere psychological dispositions, however caused or however biologically grounded. If one decides that some of one's psychological dispositions are, as a contingent matter of fact, reliable methods of reaching the truth (as one may with perception, for example), then in doing so one must rely on other thoughts that one actually thinks, without regarding them as mere dispositions. One cannot embed all one's reasoning in a psychological theory, including the reasonings that have led to that psychological theory. The epistemological buck must stop somewhere. By this I mean not that there must be some premises that are forever unrevisable but, rather, that in any process of reasoning or argument there must be some thoughts that one simply thinks from the inside--rather than thinking of them as biologically programmed dispositions. — Thomas Nagel
*'Stepping outside' them means seeking to explain them in other terms, e.g. as the products of evolutionary adaptation or the result of neurochemical interactions.