Recent content by Dr.ThinkDeep

I would rather sacrifice this step than sacrifice the set of all sets. The self reference of this definition appears to me the problem and the set of sets does not appear self referential. Just consider the Barber Paradox The problem is not that the Barber shaves everybody who does not...

I have my reservations about the "exactly" as I would answer "yes" to your question. However, if you would ask me what a tensor is, I would answer "an element of a tensorspace". May I ask, what are the defining properties of a model? The model determines what are the objects which are...

ok, forget my answer. I am not stubborn. Can you please explain in a first step: How can I check whether something is a set or not?

:confused: I did not us the term "unrestricted comprehension" and the rest of this sentence I do not recognise as anything I said.:confused: I have a feeling, we better stop before sliding into flaming, as we cannot make sense of each others posts. Peace!

solve(n*(n-1)*(n-2)*(n-3)=35*24,n); -4, 7, 3/2 + 1/2 I sqrt(111), cc. solve(n*(n-1)*(n-2)*(n-3)=70*24,n); -5, 8, 3/2 + 1/2 I sqrt(159), cc I cannot remember the formula for quartic polynomials. Just look up in Abramowich or use Maple.

The learning experience does not depend on the genius who wrote some essays but on the match between the initial level of the book and the reader's expertise, imho. - Unless the reader is a great genius.

Could you prove this in some other way than by attempted intimidation? On the rest I was still working when you posted your reply. So let us start at the beginning, then proceed to the end and then stop, ok? Is there anything "odd" with the set of all sets, in your opinion? It obviously...

For physicists, let me give a pragmatic answer: A set is defined by a list of rules that allow to determine whether anysome "element" belongs to the set or not. I realize this may mean to sweep the underlying mathematical problem under the carpet of what are admissable objects - but - let us...

Sure you can do it statistically - but not for an individual There are two questions you can try to answer: 1. Is the lie detector better than a coin? 2. What is the probability for a) a person with a positive test result to have actually lied b) a person with a negative test...

First you have to understand that you cannot prove a hypothesis. What you can do is use a hypothesis to make a prediction about an experiment, then do the experiment and see whether to experiment matches the prediction. If they match,this proves nothing because there are so many possible...

If you mean int(e^(t*k) *x,x= 0 .. 1) + int(e^(t*k) * (2-x),x=1 ..2) you are right.

Could you PLEASE give sufficient detail of the problem for someone with zero knowledge and infinite intelligence to solve it? Reproduction of some more context and explanation of the notation would be helpful. So far I see whether head nor tail of your question, although I have a feeling that...

At the elementary level consider a two parallel-group double-blind trial with binary outcome just prior to the unblinding. Let us call A the number of responder patients treated with verum B the number of responder patients treated with placebo C the number of nonresponder...

Copiers tend to leave out errors and intermediate steps and they introduce additional errors which turn out inconsequential for the result by some magic self-correcting mechanism, namely the copying from some original. Do you want to make a NEW funny math problem out of this? Imho the computer...

Divide by a*b and you have log(a)/a = log(b)/b. Now lokk at that function f(x) = log(x)/x . Let us restrict ourselves to positive x for the moment. For x>0, this function is differentiable with derivative (1-log(x))/x^2 It has one extremum at x=e f(e)=1/e and one zero at x=1, the...