> Intentions are not reducible to computational implementation because intentions are not algorithms that can be implemented with digital circuits.

What is an "intention"? Do we all agree on what it even is?

> What can be implemented with computers and digital circuits are deterministic signal processors which always produce consistent outputs for indistinguishable inputs.

We don't actually know whether humans are ultimately deterministic or not. It is exceedingly difficult, even impossible, to distinguish the apparent indeterminism of a sufficiently complex/chaotic deterministic system, from genuinely irreducible indeterminism. It is often assumed that classical systems have merely apparent indeterminism (pseudorandomness) whereas quantum systems have genuine indeterminism (true randomness), but we don't actually know that for sure – if many-worlds or hidden variables are true, then quantum indeterminism is ultimately deterministic too. Orchestrated objective reduction (OOR) assumes that QM is ultimately indeterministic, and there is some neuronal mechanism (microtubules are commonly suggested) which permits this quantum indeterminism to influence the operations of the brain.

However, if you provide your computer with a quantum noise input, then whether the results of computations relying on that noise input are deterministic depends on whether quantum randomness itself is deterministic. So, if OOR is correct in claiming that QM is ultimately indeterministic, and quantum indeterminism plays an important role in human intentionality, why couldn't an LLM sampled using a quantum random number generator also have that same intentionality?

> You seem to be saying that because we have no clear cut way of determining whether people have intentions then that means, by physical reductionism, algorithms could also have intentions.

Personally, I'm a subjective idealist, who believes that intentionality is an irreducible aspect of reality. So no, I don't believe in physical reductionism, nor do I believe that algorithms can have intentions by way of physical reductionism.

However, while I personally believe that subjective idealism is true, it is an extremely controversial philosophical position, which the clear majority of people reject (at least in the contemporary West) – so I can't claim "we know" it is true. Which is my whole point – we, collectively speaking, don't know much at all about intentionality, because we lack the consensus on what it is and what determines whether it is present.

> The limiting case of this kind of semantic hair splitting is that I can say this about anything. There is no way to determine if something is dead or alive, there is no definition that works in all cases and no test to determine whether something is truly dead or alive so it must be the case that algorithms might or might not be alive.

We have a reasonably clear consensus that animals and plants are alive, whereas ore deposits are not. (Although ore deposits, at least on Earth, may contain microscopic life–but the question is whether the ore deposit in itself is alive, as opposed being the home of lifeforms which are distinct from it.) However, there is genuine debate among biologists about whether viruses and prions should be classified as alive, not alive, or in some intermediate category. And more speculatively, there is also semantic debate about whether ecosystems are alive (as a kind of superorganism which is a living being beyond the mere sum of the individual life of each of its members) and also about whether artificial life is possible (and if so, how to determine whether any putative case of artificial life actually is alive or not). So, I think alive-vs-dead is actually rather similar to the question of intentionality – most people agree humans and at least some animals have intentionality, most people would agree that ore deposits don't, but other questions are much more disputed (e.g. could AIs have intentionality? do plants have intentionality?)