I think 4 doesn't follow. Consider two lines AB = 2 cm and CD = 4 cm Divide these lines i.e. find points on these lines by dividing them with k 1. k =...
That unexpected events occur isn't an explanation for the issue I raised but... I underlined the part that made sense to me. It squares with my explan...
What were Aristotle's objections to points being zero-dimensional? I don't get this part. Are you saying that because there are an infinity of points ...
I'm not saying a given outcome(s) is/are impossible. Perhaps I don't see the relevance of what you're saying to what is a actually bothering me. Kindl...
I'd like to continue the discussion if you don't mind because I see what you mean but I feel, given that mathematicians don't make a fuss about points...
This is exactly what bothers me. It should be possible to bias the experiment towards a particular outcome. Yet this doesn't happen and the die behave...
We agree on the point that the outcome depends on and can be predicted by the initial state of the die. The rest of what you said depends on this and ...
If it's as you claim, all in my head, how does the die know to come up three 1/6 of the time? Is the die sentient and after finding out I don't have t...
You seem to be saying that probability = ignorance but that would imply that there is no such thing as randomness or even chance. If that's the case t...
I just read a very simplified version of the law of large numbers which asserts that as the number of probability experiments increases, the results o...
I wonder what political science has to comment about politics in science now that everything under the sun seems to be in the race to achieve scientif...
This is what I want to discuss if you don't mind and thanks for your effort in trying to make me understand. We have to revisit our assumptions: 1. Ei...
That there is a blurring of distinctions doesn't necessarily imply the absence of distinction. To think so would be to slide down the slippery slope f...
Thanks for your patience. I don't think I've "discovered" anything. My question is more a reflection of my fundamental misconceptions on a subject, he...
One thing is for sure, we, all "higher" animals in fact, have specialized and dedicated organs for sound, our ears and that too as a pair. To the cont...
Wittgenstein's argument: 1. Meanings are of two types: a. Meaning as use b. Meaning through mental imagery and pointing out 2. Meaning type b involves...
The only "explanation" I can offer is: Consider a line of length 1 unit extending from 0 to 1.It can be repeatedly halved by multiplying with 1/2 Each...
Can you have a look at what I said below. It seems wrong and right. Consider two infinite sets A and B of equal cardinality i.e. n(A) = n(B) = infinit...
What do you mean by insight? If it (insight) complies with the lexical meaning then I think it's a product of clear, deliberate and focused thought. H...
Sorry for the long delay in my response but I was waiting for an epiphany of sorts. My mind just drew a blank so I'm going to work at this problem fro...
It appears to me that there are two types of contradictions: 1. The obvious one that goes (p & ~p) in which the two statements of the conjunction have...
I read a little of the Stanford Encyclopedia of Philosophy article on the topic. It seems that Aristotle thought of an actual infinity to be akin to t...
Thanks for the reply. I understand that another definition for an infinite set is a set that is equivalent (bijection possible) to a proper subset of ...
What about people praying for world peace or a cure for cancer or the like. These are unequivocally aligned with the overall good of the world and yet...
I did a cursory reading of Euclid's definition of a point: "that which has no parts" which I suspect alludes to points being zero dimensional. The usu...
I was expecting Heisenberg's uncertainty principle but you forget that predictability is about aggregates of particles and not individual particles. T...
I think @"fishfry" said something to the effect that bijection has precedence of injection. Why? I think @"quickly" understood my argument but s/he st...
Thanks for bearing with my stubbornness but have a look at what I say below: A = {x, y, z} B = {r, s, t} and C = {l, m} Cantor got it right if his cla...
Do you suppose there's a reason why points are zero-dimensional? How would we define distance? The beginning/end of one point to the beginning/end of ...
God --- All good --- All knowing --- All powerful 1*.------------Yes------------Yes-----------------Yes 2.--------------Yes------------Yes------------...
I'm not disagreeing with you. The modern world has been aptly described as the information age. I was just wondering about the pockets of zero informa...
What this post is a reply to was my "explanation". I think mass and what happens to mass, motion is predictable and mass isn't affected by quantum wei...
Amazingly, if you haven't already noticed, there is a rather inexplicable absence of information in things that matter the most: 1. Meaning of life 2....
What lies beyond the boundary of "finite" space? Can an infinite space not expand? Imagine three galaxies in infinite space A, B, and C. Suppose the d...
This has bothered me since you first brought it up not a while ago. I'm not a mathematician but 1 here is a length and when you divide a length you do...
Well, perhaps it's an issue of viewpoint. Predictability, where it's exhibited (the macro world), is "always" about mass, velocity, acceleration, volu...
I find the notion of irreducible complexity very similar to that of missing links - transitional fossils. Assuming evolution progressed from simplicit...
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