Can Physics Be Fully Defined by Axioms?

In summary, while mathematical axioms can be used to describe the laws of physics, the physical theory itself cannot be fully axiomatic and must be consistent with observation. Therefore, physics cannot be completely axiomed like pure mathematics.
  • #1
hadi amiri 4
98
1
can physics be axiomed
:confused:
 
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  • #2
hadi amiri 4 said:
can physics be axiomed
:confused:

Fundamentally no! As opposed to mathematics, physical theory must be consistent with observation. For example - Newton's gravity can be described by a set of axioms, but it is not in complete agreement with observation. General relativity is a better theory, but because of inconsistency with quantum theory, it will eventually be replaced by a still better theory.
 
  • #3
hadi amiri 4 said:
can physics be axiomed
:confused:
I'd say no too. Physics is *not* pure mathematics. The laws of physics are scientific laws and are, IMO, approximate descriptions (the best we have) of how nature works, as revealed to our senses (directly or indirectly). They are ultimately accepted because they are confirmed by observation and experiment - i.e., they work.
 

FAQ: Can Physics Be Fully Defined by Axioms?

What is the purpose of exploring the axioms of physics?

The purpose of exploring the axioms of physics is to gain a deeper understanding of the fundamental principles that govern the behavior of the physical world. By examining these axioms, scientists can develop theories and models that accurately describe and predict the behavior of objects and phenomena.

What are some common axioms of physics?

Some common axioms of physics include the laws of thermodynamics, the laws of motion, the theory of relativity, and the laws of conservation of energy and momentum. These axioms are fundamental principles that have been extensively tested and have been shown to accurately describe the behavior of the physical world.

How are axioms different from theories?

Axioms are fundamental principles that are accepted as true without requiring proof, while theories are explanations or models that are based on these axioms and are used to make predictions about the behavior of the physical world. Axioms are the building blocks of theories and provide the foundation for our understanding of the natural world.

How do scientists test the accuracy of axioms?

Scientists test the accuracy of axioms through experiments and observations. By conducting experiments and making observations, scientists can gather data that either supports or refutes the axioms. If the data consistently supports the axioms, they are considered accurate and reliable.

Why is it important to explore the axioms of physics?

Exploring the axioms of physics is important because it allows us to better understand the natural world and make predictions about how objects and phenomena will behave. It also enables scientists to develop new technologies and innovations that can improve our lives. By continually exploring and testing axioms, we can expand our understanding and continue to make advancements in the field of physics.

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