So you are saying that aleph_0 is not a member of the set of natural numbers yet the number of its members is aleph_0. I am however puzzled how all th...
That I understand and that is not my problem. I understand there are sets with n members, but n is not a member of the sets. That was why I defined th...
This is counter-intuitive to me. Consider a function f with the domain D={1,2,...N} where N is a finite positive integer. The domain has N members and...
There are relative statements, like "I like cats". There are statements like, "man is mortal" which are objective. Therefore I think the conclusion is...
Given the definition of objective and subjective from here, the truth is objective if it is a set of statements that are true and independent of opini...
Why is f(aleph_0) meaningless when we know that natural numbers have aleph_0 members? I studied Calculus 1 40 years ago. I am familiar with this notat...
I agree with what you stated. Yes, we are on the same page and thank you very much for your contribution. I learned a lot of things and refreshed my m...
Thank you very much for your contribution to my thread. I learned lots of things. You saved me a lot of time as well. By infinity, I mean aleph_0. I t...
That is a correct interpretation if you divide the interval by two, then another time divide the result by two, ad infinitum. What I have in mind is t...
Is f(infinity) a member of the above sequence? If yes, what is its value? If not, how could the sequence be an infinite one? Let's wait for your answe...
Quantum field theory exists. The theory combines classical field theory, special relativity, and quantum mechanics (from Wiki). People are however tro...
I don't understand your objection to my comments. I used "strictly" when I wanted to see what is the result of an interval divided infinite number of ...
Ok, I try my best to answer your questions. Perhaps, others (mathematicians @"TonesInDeepFreeze", @"fishery", and @"jgill") would participate and answ...
The top of the cake looks like the top of the cake no matter how many times you divide the cake horizontally. It is not. I don't understand what you a...
Yes, there is no infinitesimal in the real number system. I don't understand the rest of your comment. I didn't read Berkeley at all so I don't know w...
It seems that there is no operation of infinite division in the real number system. That was something I didn't know. Oh yeah, I can guess that. We, p...
You didn't provide this argument before. Did you? You just defined infinitesimal! How could you have an infinite sequence of divided results without i...
I consider the number of the operation (by operation I mean dividing by two) to be strictly infinite. @"TonesInDeepFreeze" however claims that such an...
I don't think that doubts can be resolved by a deterministic entity such as the brain since doubts are not deterministic states. Hence, I think doubts...
Are you questioning how doubt could arise due to neurobiological processes or how they could be resolved? We don't know how neurobiological processes ...
You are correct in your observation. If the distance between two points is zero then we are dealing with the same point. This means that there cannot ...
Perhaps this post help you. What I showed in that post is that the distance between consecutive means tends to zero for large i. The last step of my a...
I am a retired physicist and my knowledge of mathematics is very rusty due to my age. I however understand what you are saying. Thanks for helping me ...
Our thoughts, feelings, desires, and the like help us to decide in most situations. There are situations in which thoughts, feelings, desires, and the...
Yes, I know. The problem is if there is one God then why are religions so diverse and inconsistent? Yes, science is consistent, religions are not. The...
Thank you. Before going further I would like to define other terms that I used in my previous post to help both of us understand each other better and...
Well, if they say so. But that does not make God a moral foundation. The reason for that is the very diverse range of religions with different teachin...
I think the proper adjective for existence is positive rather than good. By positive I mean consisting in or characterized by the presence rather than...
I am glad to discuss things with an open-minded person like you. No. Good and evil are fundamental and they are both necessary. Think of evolution for...
Thank you very much for your post. It made many things clear to me after I read it a few times. I am still not convinced that infinitesimal does not e...
Well, I showed that the distance between consecutive means is zero if the number of divisions is \aleph_1. Well, that is the division of two cardinal ...
I'm afraid I have to disagree. Good and evil are psychological states of affairs and are features of reality. Morality is about releasing what is a ri...
That is not correct: Consider two numbers on the real number such as a and b. Let's define the mean as c_1=\frac{a+b}{2}. We can determine the next me...
Ok, my apology. I read your OP a couple of times and now I know what you are arguing about. To me, the essence of religion is not about ethics at all ...
Well, that is quite the opposite of what you stated regarding religion. To you: "But religions are about a dogmatic authority, and so the analytic of ...
To my knowledge, no religion describes good, evil, right, and wrong. It just gives a set of commands: what we ought to do (considered as good) and wha...
Thank you very much for your reply and fruitful input. Let's start the discussion by defining the different gaps. Given a set of points, points of rea...
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