[quote]Tiribulus wrote:
[quote]Dr.Matt581 wrote:<<< a long semantic exercise that missed my point entirely >>>[/quote]Dr.Matt581 I am honored sir that you would take time from your day to address my long standing challenge that has now found it’s way into this thread though it is much more comprehensively explored in several others. Before we go further I would like to take this opportunity to fully acknowledge that I do not pretend to command your expertise in any of the academic domains in which you have undoubtedly worked very hard to earn your truly commendable level of accreditation. I doubt I would ever have that type of formal discipline. I have also read enough of your posts to tip my hat respectfully to your rather impressive cerebral prowess. That is not in question either.
I cannot tell you how elated I am that we are speaking. I hope it continues. [/quote]
Then what did you mean when you said:
My post explained why 2 + 2 = 4 and can never equal anything else in the number system I defined, which is the one that the vast majority of people on the planet use, just with different names for the numbers. If you can provide me an example where the properties and axioms I laid out do not hold up I would love to hear it. What exactly did you mean?
[quote]
I hope it continues because I intend to demonstrate, with your help of course, that the foundational position that I hold is utterly impervious to any attack from any human being, regardless of how capable, or level of academic achievement in any field or fields. Anything you can possibly be lettered in is built upon my foundation. Take note I implore you, that I did not say that I will defeat you in a debate. No sir. While I have grateful confidence in the giftings my God has blessed me with, the power is in my position, not my person. I am merely a vessel and a highly unlikely one at that. [/quote]
Here you have lost me completely. What exactly are you talking about?
[quote]
Now. Your above post can be summarized as follows. Once we assign necessary but arbitrary axiomatic linguistic symbols to the abstract components of the equation, the outcome is self evident. Please verify, if you would, whether that is accurate or not before we go any further. [/quote]
The symbols we use to represent numbers and to describe mathematical operations are arbitrary, but the underlying operations are not. If you come upon a group of identical rocks and you take a single rock and put it in an empty bucket, you have what I defined above as the operation “1 + 0 = 1” if you put another one in the same bucket you now have the operation “1 + 1 = 2.”
You can never take a single rock, put it in an empty container and get anything other then what is equivalent to the one rock that you put in. For example, say it is a fragile rock and breaks into 4 equal pieces (they do not have to be equal pieces, it just makes this example easier). Now you have added a single object to an empty container and now you have 4, right? No, those 4 objects are now fundamentally different from the single rock that you started with and arbitrarily defined as “1” but they add up to be exactly equivalent to the single rock that you put into the bucket.
What you now have is the beginning of an axiomatic definition of division, which is breaking a larger object or group into smaller objects or groups that add up to equal the original object or group. I could go through and axiomatically define all of the algebraic properties if you would like, or if you would prefer to study the subject yourself, I can recommend some reading material on number theory and algebraic analysis.
