RE: On Logic and Alternate Universes
November 6, 2016 at 2:18 pm
(This post was last modified: November 6, 2016 at 2:26 pm by Edwardo Piet.)
You can't have a hypothetical without implying the truth of the law of identity. "if X then Y" has to mean "If X then Y".
You can't define your way out of a law that is already presupposed when you try to define your way out of it.
A=A is absolutely absolute. That's the whole point of the law of identity. However different other universes are... A=A must apply. However different things are those things must be however different they are.
You can't have an "if X then Y" without this. You can't have a premise without this. The truth of the law of identity applies whether any conscious beings are here to conceptualize it or know it or not, regardless of the universe.
If there was an entirely different universe with some logical laws that were different and with no conscious beings around to conceptualize the law of identity then there would be an entirely different universe with some logical laws that were different and with no conscious beings around to conceptualize the law of identity. A would =A. Doesn't matter what the hypothetical is. A=A. 2+2=4.
Maybe some other laws could be different but A=A and all its implications, such as 2+2=4, applies to all hypotheticals, all thought, all conceptualizations, all universes and all existence. To literally everyhing. We can say "2+2=5" or "A is not A" but we can't actually conceptualize what we think we are conceptualizing. This is the use/mention distinction. To mention "2+2=5" and "A=not A" is merely labelling. Such things have not actually been conceptualized. Four things are four things and not five things. Two things and two things are four things and not five things. Saying they can be five things in another hypothetical universe is simply false. All that could change is the labelling A=A is an absolute logical truth that transcends everything else. It is not its concept.
You can't define your way out of a law that is already presupposed when you try to define your way out of it.
A=A is absolutely absolute. That's the whole point of the law of identity. However different other universes are... A=A must apply. However different things are those things must be however different they are.
You can't have an "if X then Y" without this. You can't have a premise without this. The truth of the law of identity applies whether any conscious beings are here to conceptualize it or know it or not, regardless of the universe.
If there was an entirely different universe with some logical laws that were different and with no conscious beings around to conceptualize the law of identity then there would be an entirely different universe with some logical laws that were different and with no conscious beings around to conceptualize the law of identity. A would =A. Doesn't matter what the hypothetical is. A=A. 2+2=4.
Maybe some other laws could be different but A=A and all its implications, such as 2+2=4, applies to all hypotheticals, all thought, all conceptualizations, all universes and all existence. To literally everyhing. We can say "2+2=5" or "A is not A" but we can't actually conceptualize what we think we are conceptualizing. This is the use/mention distinction. To mention "2+2=5" and "A=not A" is merely labelling. Such things have not actually been conceptualized. Four things are four things and not five things. Two things and two things are four things and not five things. Saying they can be five things in another hypothetical universe is simply false. All that could change is the labelling A=A is an absolute logical truth that transcends everything else. It is not its concept.