Genady

No. To the contrary, there are different things that can be called this, and I need to know what you mean. I don't understand this statement without your definitions of segment (line segment) and its division. I don't know how they relate to real numbers and can't figure what "the same sense" means. Also, I don't know what you try to accomplish. I guess, you try to get some contradiction. There are no contradictions in real numbers, it is a mathematical fact. If your definitions regarding segments establish correspondence with real numbers, then automatically, there will be no contradictions in the segments as well. For example, following the definitions in the video you've linked, we can define a segment as part of a parametrized line, which is covered by the parameter t being in an interval [a,b], IOW, a ≤ t ≤ b. Then, we define segment division. Etc. After everything is consistently defined, there will be no contradictions. I'll do my best. * This definition of segment assumes that the vector space is real. If it is complex, then a ≤ t ≤ b is undefined.

Yes, it refers to the bp number in Y chromosome compared to the total bp number in the genome.

I agree with your clarification. In fact, there are many cases when people say "faster than light" while meaning "faster than c."

OK. First, there still no such thing as "parameters of vectors". Second, I see what they define as a "line" and its parameters. Now, to your original question, the answer is, a) not always, b) they are real numbers when you consider vectors in a real vector space. If the vectors space is real vector space, the parameters are real by definition. If the vector space is some other kind of vector space, the parameters will belong to a different field as well.

There are about 2% genetic difference between human males and females. They considered the same species, though.

I don't think they are defined in linear algebra.

What do you call "parameters" of vectors? What is 'lines' in linear algebra?

Vectors in linear algebra may be elements of a real vector space, a complex vector space, a rational vector space, or any other field vector space. I don't think there are 'lines' in linear algebra.

I don't know what would make me think that human need to conform is in human nature. For contrast, human physiology makes me think that human need to breathe is in human nature.

I don't believe it.

It is quite clear with the numbers, but not with the segments: - What is a segment? - What is a segment division? - What is same sense? - What is introduction infinity? If I knew these definitions, I might be able to figure out if it is or it is not possible to exhaust all divisions of a line segment. As of now, there is no relation between segment and real numbers. The latter are built on rational numbers and their converging sequences. I don't see anything like that in the former.

Yes. How to represent a hierarchical structure in a table so that it is efficient for SQL queries.

To find out if such a smallest real number exists, we need to use a definition of real numbers. There are several equivalent ones, so let's pick one. It can be formulated rigorously, but here is the idea. Assume we know what rational numbers are (fractions of integers, k/n.) We then define convergent sequences of rational numbers. Then, we discover that not all such sequences, in spite of being convergent, have limits which are themselves rational numbers. Then, we extend the set of numbers by including all such limits, and define this extended set, real numbers. Now we can answer the question: can any real number be divided by 2 to get a real number? Let's take a real number, Q. By definition, it is a limit of some convergent sequence of rational numbers, let's say, the sequence q1, q2, q3, ... Now let's take another sequence of rational numbers: q1/2, q2/2, q3/2, ... It can be shown to be a convergent sequence. Then, by definition, its limit is a real number. Thus, any real number can be divided by 2 to get a real number. Hence, there is no smallest real number.

I make better green salads with homemade dressing, better vegetable biryani, better hummus than restaurants make. They make better sushi, better veggie burgers, better seafood soup. None of us make real New York bagels

I don't think there are such concepts as "interval of points" and "interval ends at ..." in math. I have no idea what revolving, breaking, and reattaching segments have to do with numbers and interval lengths. The former are not mathematical concepts, AFAIK. @Boltzmannbrain, I start to suspect that the root of confusion is here: you are talking about an actual physical segment, while the "real number line" is a mathematical concept. The "real" in the latter does not refer to "line", i.e., it is not a "real line." It refers to "number", i.e., they are "real numbers."

Yes, I should've replaced it from the beginning for clarity.

Thank you. This also explains why I never heard of it.

OK, thank you. But, no, thank you.

Because you use this word the second time and I have never seen it otherwise, I have to ask. What does it mean?

Yes, and they recognize this because they tend to doubt and to question. It's two different things.

Has been done already: Fable vs. Fairy Tale – Difference Wiki

Because they

Then it is a fable rather than a fairytale.

I disagree. It is very similar to an attitude toward foods (see another thread, https://www.scienceforums.net/topic/128942-restaurant-food-split-from-heat-regulation-obesity/?do=findComment&comment=1232233). Some people tend to believe, e.g., maybe you. Some, OTOH, tend to doubt and to question, e.g., I. And everything in between.

^^^ maybe a consequence of ->