physics and Logic

[triclino]

is there any place in physics where , the Aristotelian logic does not apply??

[ajb]

I am wondering about the use of topos theory and quantum logic a la Chris Isham.

 

But I do not know enough about logic or topos theory to really say much.

[triclino]

I am sorry i should have been more clear .

 

By Aristotelian logic ,i mean the two value logic i.e true or false.

 

So the problem becomes a problem ,of whether we have results in physics with a value more than two ( true or false ),or not.

[Mr Skeptic]

How tall are you? True/False?

[Phi for All]

How tall are you? True/False?

Assuming that questions can be either true or false is illogical.

[ajb]

What about fuzzy logic?

[triclino]

In which part of physics ,fuzzy logic applies??

[ajb]

I think people have applied fuzzy logic to quantum questions. You will have to do a literature search to find out more.

[dualitynature]

Computers speak binary and they seem to do just fine.

[Klaynos]

Computers speak binary and they seem to do just fine.

 

With binary it is trivially easy to write a sting that means 3 (in denary), therefore it is not limited to true false.

[swansont]

Superpositions might be considered to violate this.

[dualitynature]

With binary it is trivially easy to write a sting that means 3 (in denary), therefore it is not limited to true false.

 

They can only arrive at 3 by combining 1s and 0s.

[Sisyphus]

Empiricism in general is about justification, not "truth." So really, there is no part of physics where Aristotelean logic applies. I'm pretty sure continuous mathematics can't be represented with Aristotelean logic, either, and obviously physics employs calculus.

 

Disclaimer: I only vaguely remember studying logic.

[Klaynos]

They can only arrive at 3 by combining 1s and 0s.

 

And using denary you can only arrive at 13 using 1's and 3's, our number base is arbitary, it just happens humans like 10's probably due to having 10 digits.

[dualitynature]

And using denary you can only arrive at 13 using 1's and 3's, our number base is arbitary, it just happens humans like 10's probably due to having 10 digits.

 

Sure it's arbitrary as it doesn't appear to really matter what we call it so long as there are two (e.g. light-dark, positive-negative, electric-magnetic, 1-0, etc...) The main idea is that 2 is a minimum number or quantity. Possibly the minimum number for any real thing which exists.

 

[vuquta]

Empiricism in general is about justification, not "truth." So really, there is no part of physics where Aristotelean logic applies. I'm pretty sure continuous mathematics can't be represented with Aristotelean logic, either, and obviously physics employs calculus.

 

Disclaimer: I only vaguely remember studying logic.

 

The axiom of infinity and then the axiom of the power set applied to the set of natural numbers generated by the axiom of infinity acquires the cardinality of continuity.

 

So, Aristotelean logic is insufficient to generate the real numbers.