Here is a full Grok's response. What do reciprocal processes contribute to theories of Stochastic Mechanics that interpret Quantum Mechanics? Reciproc...
Yes, the You need to do better than that. I'm in agreement with Levy & Krener to the extent I understand their actual claims, which is what I was poin...
For what its worth, I'm finding vanilla ChatGPT especially helpful with regards to navigating in a sourced way the nuances of the stochastic mechanics...
Well not according to your source "On the Stochastic Mechanics Foundation of Quantum Mechanics ". There is no mention let alone explanation of entangl...
I cannot access the Levy & Krener (1996) paper, so instead I asked Grok for an account of reciprocal stochastic processes, of which I am unfamiliar wh...
I have a suspicion that the authors you mention aren't intending to address foundational questions of QM ,and are instead focusing on the technicaliti...
That is only true if the so-called background hypothesis, which is typically assumed to consist of a random field locally perturbing the motions of th...
The stochastic interpretation of QM isn't an interpretation of QM in the sense that Bohmian Mechanics is, i.e. in the sense of being a non-local or an...
In my understanding, a physical language per se is purely a communication protocol for coordinating human actions, that is to say physical languages p...
Suppose a realist insists "Metaphysical realism is true". If we understand the realist's beliefs as having a causal explanation in terms of the realis...
First we have to consider the meta-metaphysics of "mind-independence"; should mind-independence be understood to be an existential claim that the worl...
The impermanence of emotions and sensations isn't necessarily in conflict with the thought that an emotion or sensation is temporally unbounded. Consi...
I'm not a theologist, but I think that eternity should be distinguished from unending procession. Notably, the present can be regarded as 'eternal' in...
I suspect that hinges refer to what Frege called "taking as true". For example, I often "take it as true" that my colour judgements are synonymous wit...
Resource conscious logics such as Linear Logic don't automatically assume that the premise of a conditional can be used more than once. They are exten...
If you mean the Heisenberg uncertainty principle no - although I'm tempted to think that Zeno was close to discovering a logical precursor to the Heis...
More or less in the case of Zeno. Mathematics is often said to resolve the paradox in terms of the topological continuity of the continuum, by treatin...
Zeno's dichotomy paradox corresponds to the mathematical fact that every pair of rational numbers is separated by a countably infinite number of other...
Apologies for any misleading. To clarify, in type theory synthetic judgments can be identified with existential quantification due to the fact all pro...
Compare Quine to Martin Lof, the inventor of intuitionistic type theory. According to Lof, analytic sentences, at least in the context of intuitionist...
I'm not aware of a mathematical definition of an alternative continuum that resolves all of the logical puzzles posed by Zeno. Zeno's paradoxes when i...
A critique of Frege's theory of sense and reference by Wittgenstein isn't possible, because Frege never provided an explicit theory or definition of s...
Many of Wittgenstein's contemporaries said it better than Wittgenstein by formally distinguishing assertions from propositions. In particular, Frege i...
A suggested computational analogy: Non-rigid designators: Reassignable Pointers. Namely, mutable variables that range over the address space of other ...
I can appreciate the distinction you are pointing out between stipulation and observation. Indeed, classical probability theory explicitly accommodate...
I'm not quite sure what you meant there, but to clarify, a sample space S can fully and faithfully represent any relation that is defined over a count...
Your suggestion is essentially equivalent to what I suggested in my last post, and indeed the likely tool for constructing the sample space i was refe...
Yes, you're right to challenge my previous post, as I realize that I wasn't quite correct in my interpretation of possible worlds in probability theor...
No, it is the same in probability theory. There, the "set of possible worlds" refers to the sample space, where a "possible world" is normally referre...
Knowledge is represented in terms of 1) A deductive system, that apart from the logical connectives is comprised only of constants, sets, types and fu...
Kolmogorov's axioms effectively define probability in terms of a collection of sets of possible worlds, together with a probability function that maps...
It depends what you mean by apodictic. Anti-realism doesn't necessarily deny the possibility of logical certainty with regards to the existence of oth...
Certainly empathy is an antidote to psychological solipsism. But does empathy refer to other minds 'in themselves' that possess an existence that is i...
Does Husserl believe in the existence of other minds in the literal sense of other? I posed that question to Grok, which returned the following slop(?...
A simple explanation is amnesia; ordinarily, you cannot remember your waking life when dreaming. Hence the reason why wannabe lucid dreamers habituall...
Sure, but if the psychological past is part of a mutable mental state, then you presumably mean the "just past" in a manner of speaking, in the same w...
I can experience a gradual change of pitch played on a violin (portamento), but I cannot make empirical sense of a flow of "experience" unless the wor...
One should always start by mentioning Mctaggart on these sort of topics. The Cartesian coordinate system represents movement, in the sense of remember...
Anselm's ontological argument presents a few riddles for cognitive science, and presents a problem for Realism in general. Suppose you are a self avow...
In computer science, the problem of inverse reinforcement learning can be thought of as the problem of determining what an agent believes on the basis...
I understand the inscrutability of reference, and more generally the indeterminancy of translation to be more or less equivalent to contextualism as o...
The formal meaning of negation in intuitionistic logic refers to the syntactical inconsistency of the negated sign, rather than to a purported semanti...
So in common-sense Kripkean semantics, A --> NOT A says: all worlds that satisfy A also satisfy NOT A. But in Kripke semantics, a world satisfies NOT ...
It is an inference in the syntactical sense of implication, but not in the semantical sense of implication as ordinarily used by scientists and legal ...
I disagree with regards to ordinary language, because we ordinarily reject contradictory premises for sake of avoiding contradiction; we naturally rej...
Yes, and that's what i meant. To explain myself clearer, I meant L and R to refer to open sets of rationals together with the entire set of rationals ...
I agree with you, but i probably didn't make myself clear enough. I'm saying that if L| R is a Dedekind cut consisting of two open sets (as is the cas...
I'm tempted to think of Dedekind cuts as a mathematics joke, in the sense that when open sets L and R are used to define a Dedekind cut L|R for an irr...
Consider the operational meaning of "infinity" that refers to circular control flow that lacks a termination condition. That is what the lemniscate sy...
Semantic puzzlement at the fact that one cannot finitely bound the natural numbers is understandable, even when having no syntactical puzzlement with ...
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