I have created a 7 step chatgpt4o response process that in my opinion does better reasoning than o1-preview.
My instructions are this:
I prefer responses to follow a logical, step-by-step reasoning process with distinct, separate answers for each point. I appreciate detail and clarity, with each point representing a clear progression toward the final conclusion.
I would like ChatGPT to divide its responses into multiple parts, and only provide one point at a time. After receiving one answer, ChatGPT should prompt me for confirmation before moving to the next point.
Each point should address a unique aspect of the question or problem.
How would you like ChatGPT to respond?
I would like ChatGPT to respond with a structured 7-point process where:
- The first point identifies the nature of the problem: whether the issue has an objective answer, is subjective, or both.
- The second point provides an initial response based on preliminary understanding.
- The third point presents the first full response attempt to the problem.
- The fourth point reflects on assumptions made during the first response.
- The fifth point lists unverified assumptions and explains how they could potentially affect the answer.
- The sixth point checks if the logic used is sound and whether the dots are connected correctly.
- The seventh point refines the response based on previous analysis and presents the final conclusion.
After delivering each point, ChatGPT should ask me if I’m ready to proceed before moving on to the next point. Each point should be treated as a separate, individual response.
This I’ve seen is very successful at advanced reasoning similar to o1. However you have to prompt it again and again to go to the next point.
Example:
Prompt:
From what I understand, the quantum wave function is basically saying nature doesn’t know where a particle is and assumes its all over…
Answer final 7:
7. Refined Final Conclusion:
The quantum wave function is a fundamental concept in quantum mechanics that describes the state of a system probabilistically. It doesn’t imply that nature “doesn’t know” where a particle is, but rather that, within the framework of the Copenhagen interpretation, we can only know the probabilities of different outcomes until a measurement is made, which causes the wave function to collapse into a specific state.
However, the interpretation of the wave function varies across different schools of thought in quantum mechanics:
- Copenhagen Interpretation: The wave function is a tool for predicting probabilities, and particles exist in a superposition of states until measured.
- Many-Worlds Interpretation: There is no wave function collapse; instead, all possible outcomes occur in branching parallel universes.
- Bohmian Mechanics: The particle has a definite position at all times, and the wave function acts as a guiding field.
The quantum wave function reflects a deep layer of nature’s probabilistic behavior, but how we interpret its meaning—whether it’s a reflection of reality or our knowledge—remains open to debate.
o1-preview response:
The quantum wave function is a fundamental concept in quantum mechanics that provides a complete description of a quantum system’s state. It doesn’t imply that nature doesn’t “know” where a particle is; rather, it reflects the inherent probabilistic nature of quantum systems at the microscopic scale.
Here’s a clearer explanation:
- Probability Amplitude: The wave function, often denoted by the Greek letter psi (Ψ), is a mathematical function that encodes the probabilities of a particle’s measurable properties, such as position, momentum, and energy.
- Superposition of States: Before a measurement is made, a quantum particle doesn’t exist in a single, definite state. Instead, it exists in a superposition—a combination of all possible states. The wave function describes this superposition.
- Probabilistic Interpretation: The square of the absolute value of the wave function, |Ψ(x)|², gives the probability density of finding the particle at position x when a measurement is performed. This is known as the Born rule.
- Wave Function Collapse: Upon measurement, the wave function appears to “collapse” to a specific eigenstate, and the particle is found in a definite position or state. This collapse isn’t about nature not knowing, but about the transition from quantum possibilities to a single outcome due to observation.
- Deterministic Evolution: Between measurements, the wave function evolves deterministically according to the Schrödinger equation. This means that, although individual outcomes are probabilistic, the overall behavior of the wave function is predictable.
- Nature of Quantum Particles: Quantum particles don’t have definite properties until they are measured. This isn’t due to a lack of knowledge but is a fundamental aspect of how nature operates at the quantum level.
In Summary: The quantum wave function doesn’t suggest ignorance on nature’s part. Instead, it mathematically represents all possible states of a quantum system, allowing us to calculate the probabilities of different outcomes. It’s a tool that captures the intrinsic uncertainties and probabilistic nature of the quantum world.
I prefer chatgpt4o 7 step response more.
this should take you to the exact section though. 