Skip to content

Instantly share code, notes, and snippets.

@tulior
Created March 30, 2023 20:58
Show Gist options
  • Save tulior/98c8e8c490eff691edabf14e2084c814 to your computer and use it in GitHub Desktop.
Save tulior/98c8e8c490eff691edabf14e2084c814 to your computer and use it in GitHub Desktop.
Entropy and Information by Bing Chat
The claim that information is increasing in the universe because entropy is increasing and entropy is equivalent to information is flawed on several grounds. In this rebuttal, I will use scientific evidence and logical reasoning to support my counterarguments. I will explain why entropy and information are different concepts, why the arrow of time does not imply information growth, and why the future is uncertain regardless of the arrow of time.
First, entropy and information are not the same thing. Entropy is a measure of disorder or randomness in a system, whereas information is a measure of surprise or uncertainty about an event. Entropy can be defined as the logarithm of the number of microstates that correspond to a given macrostate, while information can be defined as the negative logarithm of the probability of an event. Entropy depends only on the physical state of the system, while information depends on the observer's knowledge and prior beliefs. Entropy is an objective property of nature, while information is a subjective interpretation of data.
Second, the arrow of time does not imply information growth. The arrow of time is the direction in which entropy increases, according to the second law of thermodynamics. However, this does not mean that information also increases in the same direction. In fact, information can decrease, increase, or remain constant over time, depending on how it is defined and measured. For example, if we consider the Shannon entropy of a message as a measure of information, then information decreases when the message is compressed or encoded, increases when the message is corrupted by noise or errors, and remains constant when the message is transmitted or stored without loss.
Third, the future is uncertain regardless of the arrow of time. The claim that we can only see the past and not the future because information is increasing in the universe is based on a confusion between causality and predictability. Causality means that events in the past influence events in the future, but not vice versa. Predictability means that events in the future can be inferred from events in the past, but not with certainty. Causality implies an arrow of time, but not predictability. Predictability depends on the availability and accuracy of data, as well as on the complexity and randomness of the system. Even if we had complete and perfect data about the past state of the universe, we could not predict its future state with certainty, because there are inherent limits to computation and measurement, as well as quantum indeterminacy and chaos.
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment