Does logic hold true outside our reality (spacetime)?

[mitcho]

We know that the laws of physics are unique to our universe, that is they only hold true in our spacetime. My question is about logic and if logic holds true outside our universe unlike the laws of physics. For example, if we say that x>y and z>x then we can conclude that z>y is true by logic. Does this logic still true? Why/why not?
Thanks.

 

[CEL]

We know that the laws of physics are unique to our universe, that is they only hold true in our spacetime. My question is about logic and if logic holds true outside our universe unlike the laws of physics. For example, if we say that x>y and z>x then we can conclude that z>y is true by logic. Does this logic still true? Why/why not?
Thanks.

Even in our universe logic depends on axioms. The example you gave:

if we say that x>y and z>x then we can conclude that z>y is true

is an axiom that can be used do prove some theorems.

But you can use another axiom:

if x>y and z>x then y>z is true

This axiom would be used to prove another set of theorems.

An example:

In arithmetic 1 + 1 = 2.

In boolean algebra 1 + 1 = 1.

 

[Jimmy Snyder]

Yes and no.

 

[berkeman]

I'm sorry, but discussions of things "outside our universe" are too speculative for the PF. Thread closed.

 

[pmacias]

I must approach this question with a critical and objective perspective. While the laws of physics are indeed unique to our universe and may not hold true outside of it, the concept of logic is a fundamental principle that governs our understanding and reasoning in all aspects of our reality.

Logic is a tool that allows us to make deductions and draw conclusions based on given premises. It is a fundamental aspect of human thought and communication, and it is essential in the scientific method. However, the question of whether logic holds true outside of our reality is a philosophical one that does not have a definitive answer.

Some may argue that logic is a product of our human minds and may not necessarily apply to other realities or dimensions. Others may argue that logic is a fundamental principle that transcends our physical reality and applies to all possible universes.

It is also worth considering that our understanding and application of logic may be limited by our current knowledge and perspective. As we continue to expand our understanding of the universe, our perception of logic may also evolve.

In conclusion, while it is impossible to definitively answer whether logic holds true outside of our reality, it remains a crucial tool in our understanding and exploration of the universe. It is a concept that is deeply ingrained in our thinking and reasoning, and it will continue to play a fundamental role in our pursuit of knowledge and understanding.