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Questions tagged [computation]

Computational theory is the study of calculations. Important questions are: what can be computed? How quickly can it be computed? What requirements or abilities must a computer have?

2 votes
0 answers
55 views

What are your thoughts on P=NP [closed]

While it is possible that P does or does not equal NP, I would love to hear the philosopher's ideas on the matter. This is a mathematics question in which we are asked if certain problems can be ...
Christian Mason's user avatar
2 votes
6 answers
443 views

What makes a system of syntax capable of being computable?

It will be easier if I present the motivation in order to express the question better. Creating shorthand symbols for long sentences/propositions/assertions is ubiquitous. Many authors do it ...
Ajax's user avatar
  • 1,139
2 votes
9 answers
3k views

Does or could ChatGPT understand text? [closed]

The following argument concludes that the common understanding of ChatGPT (trained on text, receives online users' text questions, etc.) is not supported by the science. What criticisms are there of ...
Roddus's user avatar
  • 721
0 votes
1 answer
72 views

Why is the lack of sound proof theory fatal for Second-Order Logic but the practical lack of sound proof theory for FOL benign?

Received orthodoxy says, among the community of logicians, that first-order logic (with predicates, connectives, and variables) is good because it has a sound proof theory and second-order logic (with ...
Fomalhaut's user avatar
  • 689
3 votes
12 answers
748 views

Can Consciousness be Computationally Reconstructed from a Painting?

Suppose that Pablo Picasso was undergoing an arbitrary conscious experience while putting the finishing touches on Guernica. Would it be possible to reverse-engineer that conscious experience ...
MeltyButter's user avatar
0 votes
3 answers
83 views

Turing Machines that interact with physics [closed]

Fix a Turing-complete programming language P and character set. For sufficiently large 'n', an 'n' character program in P cannot decide the halting behavior of all programs with fewer than 2n ...
Terence C's user avatar
  • 109
5 votes
3 answers
180 views

Why is a non-computable function a coherent idea?

In English, the word "function" means "doing". Asking "what's its function?" is logically equivalent to asking "what does it do?". So a non-computable function ...
Fomalhaut's user avatar
  • 689
1 vote
5 answers
299 views

How Can Computation Cause Consciousness?

The question of how consciousness arises and what, if any, effect it has on our behaviour is clearly both fascinating intellectually and of great practical and ethical significance. One very common ...
MBar2269's user avatar
0 votes
3 answers
168 views

Are evolution and reinforcement learning related?

Are evolution and reinforcement learning related? Evolution and reinforcement learning are related in that they both involve a process of learning and adaptation over time. Evolution is a biological ...
Shriman Keshri's user avatar
0 votes
0 answers
34 views

Could a quantum computer simulate any system based on different types of logic?

Quantum computing is based on quantum mechanics (obviously) which has different logical rules than classical/Boolean logic. However, does this mean that a quantum computer could simulate or process ...
vengaq's user avatar
  • 557
2 votes
1 answer
314 views

In line with Roger's Penrose argumentation, why is human mind not computable, when large language models are?

Roger Penrose famously from Gödel's Incompleteness Theorem, that human mind is not computable, because mathematical intuition is not computable (a mathematician can prove more than any formal system, ...
Tomasz Garbus's user avatar
17 votes
13 answers
8k views

Does a rock falling down a hill perform computation?

Imagine a rock in the shape of a chessboard with pieces in a certain configuration. Throw the rock down a particular hill. The hill is shaped in such a way that, given the correct throw, the ...
MeltyButter's user avatar
1 vote
0 answers
70 views

Church-Turing Thesis and the human brain

A question on my homework: Imagine that scientists discover that the behavior of the brain can be completely described by some mathematical function. Given the Church–Turing Thesis, would this ...
ASA's user avatar
  • 121
1 vote
3 answers
106 views

The Relationship between the Church–Turing Thesis and Physical Computation

Consider the following thesis (aka Church-Turing (CT) Thesis): Every function that can be calculated by an effective method is Turing-computable. Suppose there is a physical process that allows for ...
ASA's user avatar
  • 121
2 votes
1 answer
104 views

Halting Problem Oracle

Halting problem is unsolvable. There is no method to solve it, so no human can solve it. So why is any theory utilising an oracle (which can solve halting problem) not simply nonsense?
Ajax's user avatar
  • 1,139

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