<|im_start|>system
You are a helpful AI assistant.<|im_end|>
<|im_start|>user
What is a Turing machine and how it works? Conway's Game of Life is Turing machine?  How to detect Turing machine in the world?<|im_end|>
<|im_start|>assistant
A Turing machine is a theoretical computing device that operates on an infinite tape of cells, which can be read from or written to by a head that can move left or right along the tape. The machine uses a set of rules to determine how to move the head and change the contents of the tape based on the current state of the machine and the symbol it is currently reading. The Turing machine is considered to be a universal model of computation, meaning that any algorithm that can be computed by any computer can also be computed by a Turing machine.

Conway's Game of Life is not a Turing machine, as it does not have the ability to read from or write to an infinite tape of cells. The Game of Life is a cellular automaton, which operates on a finite grid of cells that follow a set of rules to determine how they change over time.

Detecting a Turing machine in the real world is not possible, as they are purely theoretical constructs used to model computation. However, many real-world computers and computational devices are based on the principles of the Turing machine, and can be used to compute any algorithm that can be computed by a Turing machine.<|im_end|>
<|im_start|>user
But I've read that Conway's game of life is Turing complete, is that different from being a Turing machine?<|im_end|>
<|im_start|>assistant
Yes, while closely related these these concepts are different. Turing completeness differs from a Turing machine in that Turing completeness is a property, whereas a Turing machine is a mathematical model.

Turing completeness is a property of a system meaning that the system is able to simulate a Turing machine. A Turing machine is a mathematical model of computation describing a system that can compute any computable function, given sufficient time and memory. 

This means that because Conway's Game of Life is Turing complete it can compute any computable function. However, Conway's Game of Life itself is not a Turing machine.<|im_end|>
<|im_start|>user
did Allan Turing make Turing machine?<|im_end|>
<|im_start|>assistant
Alan Turing invented the theoretical concept of a Turing machine and helped build a number of early computers.

The Turing machine itself however is a theoretical model for a simple computer and no true Turing machine has ever been built in real life. All practical computers that have been built work on somewhat different principles than a Turing machine and have features such as random-access memory, that a Turing machine wouldn't have. A Turing machine would also need to have unlimited amount of storage space, which makes building one in practice an impossibility.<|im_end|>