phya
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For example -1, the volume is 1, the symbol -. Therefore, the symbols and the volume is not the same thing.
The discussion centers on the classification of numbers as positive, negative, or neutral, particularly in the context of distance and directional values. Participants assert that only zero is neither positive nor negative, while all other real numbers fall into one of the two categories. The concept of directed distance is introduced, emphasizing that distances are typically nonnegative, and the need for a coordinate system to represent multidimensional values is highlighted. The conversation concludes that absolute values are always nonnegative, reinforcing the definitions of positive and negative numbers.
PREREQUISITESMathematicians, physics students, educators, and anyone interested in the foundational concepts of number theory and geometry.
You keep asserting nonsense. Nosense does not become true, or even 'sense' just because you say so. "1" is a number, whether you think of it as a volume, and area or anything else. "-1" is also a number. To assert that "-" is a symbol without saying what you mean by "symbol" is nonsense. If you mean what is normally meant by "symbol", then, yes, "-" is a symbol, but so is "1" so you are still talking nonsense. Symbols by themselves mean nothing. "-1" and "1" are symbols with specific given meanings- in that sense they are both numbers.phya said:For example -1, the volume is 1, the symbol -. Therefore, the symbols and the volume is not the same thing.
Mentallic said:If you define a situation where you count -1 for each litre of water in tank A and 1 for each litre in tank B, then when the water is in tank A it will be -1, but the volume of water is still 1 litre. I don't get why this is bothering you so much...
It is apparently not obvious to you, but it's obvious to pretty much everyone else that 3 is positive.phya said:Suppose we require, the men said with a -1, the woman says with a +1, then the three men, that is, 3 * (-1), the three women is 3 * (+1), may I ask, where the third is positive or negative ? Obviously, the three is not positive, not negative.
phya said:Suppose we require, the men said with a -1, the woman says with a +1, then the three men, that is, 3 * (-1), the three women is 3 * (+1), may I ask, where the third is positive or negative ? Obviously, the three is not positive, not negative.
-nphya said:Absolute value of a number we have three answers to choose from, be negative,
+nphya said:be positive,
Not neutral - zero.phya said:the number of neutral
Because x*0 = 0, which is not what we want.phya said:- not positive, not negative. Why do we choose a positive number it? This is not injustice it?
Mentallic said:Positive numbers are defined to be real number greater than zero. A person is either female or male, you don't know so you can't determine whether it is 1 or -1, but this doesn't mean that it is neither. If you're talking about a neutral person that has no gender, then your example is too simplistic to accommodate for them, unless of course you define neutral people to be equal to... whatever you want.
phya said:For a man or a woman, we can say that a person, while a person is neutral.
Because that's how the absolute value function is defined -- it evaluates to a nonnegative number. The absolute value function mapsphya said:Absolute value of a number we have three answers to choose from, be negative, be positive, be neither positive nor negative. Why do we choose a positive number it?
Justice and injustice are totally irrelevant to the concept of absolute value. Why would you even think of it in these terms?phya said:This is not injustice it?
DaveC426913 said:OK, so there's you answer.
What exactly was the question again?
Mark44 said:Because that's how the absolute value function is defined -- it evaluates to a nonnegative number. The absolute value function maps
- negative numbers to their positive opposites.
- zero to zero.
- positive numbers to themselves.
Justice and injustice are totally irrelevant to the concept of absolute value. Why would you even think of it in these terms?
phya said:What is the meaning of absolute value?
What previous provisions?phya said:The previous provisions may not be correct.
This is a non sequitur that has nothing to do with absolute value.phya said:On justice, the world is interconnected.
This is irrelevant to our discussion of absolute value.phya said:Newton's absolute space and time corresponding to the past, and Einstein's space-time corresponds to a relatively modern.
This is a topic for a philosophy discussion, maybe.phya said:Oh. What is the meaning of absolute space and time?
The absolute value of a real number is its distance from zero. This distance is always nonnegative (i.e., positive or zero).phya said:What is the meaning of absolute value?
Mark44 said:What previous provisions?
This is a non sequitur that has nothing to do with absolute value.
This is irrelevant to our discussion of absolute value.
This is a topic for a philosophy discussion, maybe.
The absolute value of a real number is its distance from zero. This distance is always nonnegative (i.e., positive or zero).
?phya said:What is absolute?What is absolute? Which do not contact?
Please translate this into something that makes sense, preferably English. Be sure to include a verb.phya said:Oh, why a number of non-negative absolute value of it?
Mark44 said:Please translate this into something that makes sense, preferably English. Be sure to include a verb.
phya said:Oh, why a number of non-negative absolute value of it?
Inasmuch as real numbers are scalars, and they can be negative, zero, or positive, yes it makes sense to have a sign with a scalar.DaveC426913 said:Again, if I may, I think the crux here lies in the fact that phya is seeing that absolute values are magnitudes should thus be unsigned, (since a sign such as + or - indicates a direction.
i.e. magnitude is the unsigned scalar property of a vector.
So, question: does it make sense to have a scalar with a sign, or is it simply an unsigned value?
SorryMark44 said:?
See any reasonably comprehensive dictionary.phya said:What is absolute?
This term is precisely defined in mathematics, and the definition has been given numerous times in this thread. Why are you still asking a question that has already been answered?phya said:What is absolute value?