Posted by Data
I suppose I could elaborate a bit further. A universe in the context of this question -(If the number of sets containing subsets is infinite, then how can a universe exist, since in claiming that such a set exists, we are claiming that it is the final set, thereby...
My experience and knowledge of Set Theory is pretty lacking, so I apologize if I don't seem very assertive while discussing this topic. Anyhow, this is a big picture question that I have found to be, among other things, difficult to analyze: If the number of sets containing subsets is infinite...
Well, I do see what you're saying now. The use of propositons and searching for validity/ logical equivalence is what really turns the implicit into explicit form. So unless I have a specific conclusion in mind for a premise, (Y->(-T&B)) for example, the conclusion itself can be...
Okay, an example could be: (P&W) THUS ((P&W)vZ)
This same argument could have the conclusion: (((P&W)vZ)vR)
While each of these conclusions are equally valid, and the truth value of (P&W) does not depend on Z and R, the point is this: to arrive at the conclusions I arrived at, I chose to...
Pure Objectivity... possible or impossible?
Sorry, but this post will be unmercifully long, so if you have a short attention span, you may want to skip this one. :wink:
Last Thurs., I asked my Logic professor about a certain fascinating property of PL (it either stands for Propositional...
oneredpanther, I appreciate your rationalistic approach towards addressing this topic. I know that this forum always welcomes users such as yourself. And since you have shown that you are willing to consider and analyze ideas thoroughly, I will present you with this question: Using your prior...
Interesting. Could you elaborate why the orbits would have to be elliptical? Also, is there a minimum distance that the two bodies would have to be from one another for them to revolve without eventually colliding? Or is that primarily dependant upon the original circumstances of their meeting...
By arbitrarily close I mean with an eccentricity close to zero (say e< or = to .003), leaving a single focal point of motion. Unlike the Earth and moon, say that these two planets of near (give or take a few thousand metric tons) or equal mass orbit on opposite sides around a central point...
<Hmm. I just realized that this post would be better suited for the "Celestial Mechanics" forum. Would you mind moving this post, since it appears that I am unable to do so myself without posting twice?>
To begin with, does anyone know of the confirmed existence of or believe in the...
Imagine if in the future(this might seem a bit sci-fi here) we can live in this world as disembodied lifeforms, capable of transferrring from one body to the next or having bodies made for us to replace the old ones. Then how would we define death? If the cells in our physical bodies die, we can...
Any good, easy-to-read Calculus books you say? Well, there is The Complete Idiot's Guide to Calculus by Michael Kelly. It's a very useful book for AP calculus courses as well as some college level calc. Plus, Kelly's witty and sometimes humorous explanations of concepts will help you to remember...
I think I understand. Egan based his novel on an actual theory in cosmology that he himself believes may be true. That's why he can explain it in such incredible detail I suppose. To take a complicated theory like Quantum Loop Gravity and use it for the basis of a S.F. novel is really...
Anyone read "Schild's Ladder"
I am currently reading Schild's Ladder, an incredibly well-thought-out sci-fci book from 1961 by Greg Egan. What really amazes me about this guy is just how visionary and intellegent his theories were regaurding quantum physics, the state of life in the Galaxy...