MetalPig
Illuminator
Yes, contradictions are false.A AND ~A --> False.
And yet you wrote:
Therefore, your A and your ~A can not be eachother's negation. To claim otherwise is to say contradictions can be true.In that case A and ~A are both true
Yes, contradictions are false.A AND ~A --> False.
Therefore, your A and your ~A can not be eachother's negation. To claim otherwise is to say contradictions can be true.In that case A and ~A are both true
As much as I know...
My A and my ~A are not A AND ~A.Yes, contradictions are false.
And yet you wrote:
Therefore, your A and your ~A can not be eachother's negation. To claim otherwise is to say contradictions can be true.
jsfisher, the definition of the void between the outer "{" and "}" as contradiction, and the definition of the outer "{" and "}" as tautology are straightforward for the concept of set.Your are not addressing the questions put to you. You made specific claims about set theory. The claims were false.
You don't understand Mathematics; you misrepresent Mathematics; and you just make stuff up. But no matter how enamored you are by braces and what great meaning you imagine they have, they will continue to be not part of set theory.
jsfisher, the definition of the void between the outer "{" and "}" as contradiction, and the "{" and "}" as tautology is straightforward for the concept of set.
Repeating on an act of self conviction that values the issue at hand from a conventional point of view, does not address the issue at hand.Simply repeating something you made up doesn't make it any less made up.
Braces continue to be not a part of set theory. Your claims regarding braces are not part of Mathematics.
If you really wish to air your view about the issue at hand, then please criticize what is written
Wrong, no detailed reply to http://www.internationalskeptics.com/forums/showpost.php?p=11356821&postcount=1878 has been given by you.I did.
It seems that "It isn't Mathematics" is actually your axiomatic approach about http://www.internationalskeptics.com/forums/showpost.php?p=11356821&postcount=1878.It isn't Mathematics.
If this is the case, there is no use for further discussion with you about the issue at hand.
Ok, jsfisher is unaware that what is called pure mathematicians do their best in order to develop frameworks that are not bounded to what is called physical reality.Well, if you ever have something that is Mathematics, let me know. Meanwhile, do have fun with these fantastical things you continually make up.
Ok, jsfisher is unaware that what is called pure mathematicians do their best in order to develop frameworks that are not bounded to what is called physical reality.
From know on outer braces are part of set theory and they are the complement of the void between them, as defined in http://www.internationalskeptics.com/forums/showpost.php?p=11356821&postcount=1878.Meanwhile, braces still are not part of set theory.
If it makes you happy to write that; sure, whatever.My A and my ~A are not A AND ~A.
There is no contradiction in case of A OR ~A since they are true options that are not taken simultaneously.If it makes you happy to write that; sure, whatever.
It still doesn't make contradictions true, though.
I know. That is not the case I am talking about. Pay attention please.There is not contradiction in case of A OR ~A
From know on outer braces are part of set theory...
Again, there is an object called A that has two optional properties.I know. That is not the case I am talking about. Pay attention please.
A OR ~A
--------
~T ~T --> ~T
~T T --> T
T ~T --> T
T T --> T
A AND ~A
---------
~T ~T --> ~T
~T T --> ~T
T ~T --> ~T
T T --> T
That's the second time you agree that ~A is not the negation of A. Again, thank you.So the truth table of A AND ~A is:
Code:A AND ~A --------- [HILITE]~T ~T[/HILITE] --> ~T ~T T --> ~T T ~T --> ~T [HILITE] T T [/HILITE]--> T
contradiction and tautology are logically the complement and extreme bounds of n-valued logic, where n>1.Before you go off on to your void and complement tangent, you'd need to formally define how braces are part of set theory.
The outer braces represent tautology, where tautology is neither object nor option.It's kind of ironic, too, Doronshadmi, that you chastise me and others for being limited to objects in our thinking, though untrue that may be, and here you are not just limited by but actually obsessed with a pair of objects, braces.