59

Complex numbers are not, as you suggest, "...an integral part of physical reality". Neither, as you say, does the "quantum wave distribution function necessarily uses complex numbers". Not necessarily. Quantum mechanics can be mathematically formulated using the real numbers, the complex numbers, or the quaternions. See, e.g., https://arxiv.org/abs/1101.5690 ...


22

The idea that quantum mechanics fundamentally challenges the rules of logic was popular for a while, but has fallen out of favor in recent years. While intuitively it might seem that quantum superposition (i.e something being in more than one base state at the same time) is what challenges the rules of logic, by invalidating the law of non-contradiction, ...


20

The short answer: Your premise is not correct. Quantum Mechanics is not necessarily complex-valued. Here is a primer from Physics.SE if you are solid on the math. An explanation that is light on math: Complex numbers represent a particular collection of symmetries that behave in a particular way. They happen to be closely related to Real numbers because ...


19

Rovelli claims that time is an illusion, deriving from the incompleteness of knowledge. Since that incompleteness of knowledge is a permanent (and necessary) state of affairs, his hypothesis does us no good at all-- we are still firmly stuck inside of time, illusory as it may be, with no hope of escape. And thus, for us trapped within the illusion, Zeno's ...


14

You can't do much better than Michael Redhead's Incompleteness nonlocality and realism. David Z. Albert's Quantum mechanics and experience is a popular text, but I don't like it: it tries to shield you from the technical details, but you simply can't understand the subject without an understanding of at least the basics of those details. There is a ...


11

Let me clarify a confusion first. Logic applies to sentences, not to objects, so object's ability to be in two places at once is not a contradiction, unless definition of "object" rules out such a possibility. It certainly does in classical mechanics, but classical mechanics does not apply to quantum objects that can be "two places at once". And quantum ...


8

The question contains an interesting slippage, between the idea that "our current understanding of reality is flawed" and "our basic scientific method is flawed." Clearly, we need to be careful here to separate the substantive from the methodological. It goes without saying that all of the findings of quantum physics mentioned in the question were ...


7

There certainly has been a large amount of development of modal logic interpretations of Quantum Mechanics. Once you have a Kripkean accessibility relationship (induced from nonorthogonality), the development is simple. Early work here is Goldblatt - "Semantic analysis of orthologic" Journal of Philosophical Logic (1974) and "The Stone space of an ...


7

First a point of clarification, from what you are describing, you are talking about libertarian freewill, not compatibilist freewill. More on that later. At the heart of your question is a confusion that you need to clarify, then you will understand the second paragraph you quoted better. You are confusing "Determinism" with "Lack of freewill" due to a ...


7

The OP quote draws a distinction between determinism ("hard determinism"), and causal completeness ("less absolute determinism"). The former means that the current physical state of the universe predetermines its future state in every detail, i.e. it is a "sufficient cause", this is the Laplacian view of classical mechanics. The latter means that although ...


7

I suspect that Petitot is misremembering and interpolating. Husserl did generally consider (formal) metaphysics to be the doctrine of individuation. For example, in a 1918 letter to Weyl, thanking him for a copy of Das Kontinuum, he writes: "Finally a mathematician shows appreciation for the necessity of phenomenological modes of treatment in all ...


7

In my opinion you are mixing up different points: Physics does not use complex numbers to count entities. It is sufficient to count mangos by non-negative rational numbers, i.e. 1 mango, 1.5 mangos, 1/3 mango etc. You are right that quantum mechanics is based on the psi-function which is a complex function. The squared modulus of this function, a real ...


6

This is a particularly sticky wicket because (a) we are delving into the philosophy of quantum mechanics (which is beset on all sides by those who wish to pervert it to their own ends) and (b) because we are confounding our understanding of the problem by confusing what we mean by "exists." To make this question more meaningfully answerable I will address ...


6

It is only an argument in the same sense that the Gödel theorem is an argument for transcendent truth or against AI. Mathematical theorems have no philosophical consequences unless they are conjoined with presuppositions that are themselves philosophical in the first place. This theorem is interesting as the strongest available no-go result for certain types ...


6

In the relevant sense the answer is "no", the appearance of a "yes" is created by projecting classical intuitions about locality onto quantum objects. This is confusing because the definition of locality adopted in classical physics becomes misleading when transplanted into quantum physics. "Quantum non-locality" of entanglement is a misnomer, rather than ...


6

Does 'the quantum mind' solve the hard problem of consciousness ? Short answer: No it doesn't. Long answer: Penrose's quantum mind model is an answer to the question of how can a human mind perform computations that a computer (more specifically a Turing machine) can't. This is known as the Lucas' argument against mechanism. There are several criticism'...


5

What would a quantum interpretation without ontology be like? Short Explanation: It looks like instrumentalism. Instrumentalism avoids the debate between anti-realism and philosophical or scientific realism. It may be better characterized as non-realism. Instrumentalism shifts the basis of evaluation away from whether or not phenomena observed actually ...


5

If I interpret this correctly you seem to be asking whether some kind of rudimentary form of awareness may be a property of all matter? One person who I think would answer in the affirmative is Graham Harman in his metaphysics of 'polyspychism'. The most clear and complete exposition of his system is called The Quadruple Object, a great introduction can ...


5

I am a mathematician that found this page by accident, so I can't help you with the Zeno's paradox part (I think that was solved by calculus hundreds of years ago). But I would like to clarify some misconceptions. The thermal time hypothesis is not directly related to loop quantum gravity. It is instead a mathematical result from the theory of von Neumann ...


5

Imagine an exotic "universe", which does not have deterministic laws, but does have a notion of discrete time. At each step in time, the state of the universe — its "material" content — is given by a set of objects. It has no conservation laws as such. What happens is at each step, the set of material elements is replaced by either the power-set of its ...


5

"Normal" determinism — or at least, the way that people normally approach the notion of determinism — in the face of apparently random events is the position that the randomness is due to uncontrolled variables in the influences on the apparently random system, which you are not taking into account. A good example would be the brownian motion of ...


5

You are right that Bell's inequalities do not rule out "superdeterminism" (Bell's term), as he himself acknowledged:"...if our measurements are not independently variable as we supposed...even if chosen by apparently free-willed physicists... then Einstein local causality can survive. But apparently separate parts of the world become deeply entangled, and ...


5

Rand's Objectivisms' central tenets are that reality exists independently of consciousness, that human beings have direct contact with reality through sense perception, that one can attain objective knowledge from perception through the process of concept formation and inductive logic. Rand didn't say much about induction except that she didn't know how it ...


5

This question presumes not only the existence of common sense, but that two individual's common sense about a very peculiar topic might somehow coincide. As Einstein categorized it, there were four major aspects of a QM interpretation: Realism - Can we predict the future state of a particle without measuring it? Completeness - Does it account for every ...


5

The linked IEP article seems to me to be accurately summarized in the OP:"the argument about quantum processes in the brain falls short if we reject the original Gödelian argument... Penrose goes on to suggest that even if we deny the Gödelian argument we will still come to the same conclusion". But on my reading "the same conclusion" of Penrose is not that ...


5

This is intended as a complement to Conifold's and Jobermark' answers Penrose's argument can be broken down to two parts: Based on Lucas's Gödelian argument against mechanism, he argues that the human mind is more than just a Turing machine. The part of the human mind that is more than Turing machines can be explained by quantum phenomena in the brain. ...


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