Why does Celsius temperature in degrees have +/- signs, since it's scalar?

In summary, the Celcius and Fahrenheit scales use values that relate to arbitrary points on an absolute temperature scale, starting at 0 K. This allows for negative values on the scale, which can be confusing when thinking about temperature as a magnitude. The choice of 0 and 100 as the freezing and boiling points of water was originally reversed, but was changed by Linnaeus. Although some may argue that this choice is arbitrary, there is a specific and logical reason behind it. The Kelvin scale, which is based on the absolute temperature scale, also uses arbitrary points in relation to the freezing and boiling points of water. Therefore, the use of +/- signs in Celsius is not necessarily arbitrary, but rather a result of the chosen reference points
  • #1
ELLE_AW
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Why does Celsius degrees have +/- signs, since it's scalar?
 
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  • #2
ELLE_AW said:
Why does Celsius degrees have +/- signs, since it's scalar?
How would you recommend temperatures below zero Celsius be indicated?
 
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  • #3
Scalars can be negative. You are thinking of a magnitude which is strictly non-negative. Temperature is not a magnitude.
 
  • #4
Dale said:
Scalars can be negative. You are thinking of a magnitude which is strictly non-negative. Temperature is not a magnitude.
Thank you so much for the distinction. That makes perfect sense.
 
  • #5
ELLE_AW said:
Why does Celsius degrees have +/- signs, since it's scalar?
The Celcius scale (also the Fahrenheit scale) uses values that relate to arbitrary points on an absolute temperature scale. That scale starts at Zero K so all temperature values are actually 'in the same direction'.
 
  • #6
Dale said:
Scalars can be negative. You are thinking of a magnitude which is strictly non-negative. Temperature is not a magnitude.
sophiecentaur said:
The Celcius scale (also the Fahrenheit scale) uses values that relate to arbitrary points on an absolute temperature scale. That scale starts at Zero K so all temperature values are actually 'in the same direction'.

Yea, the Kelvin scale makes more intuitive sense to me, but yea the arbitrary nature of that zero point makes sense too, as representing another temperature scale. Thank you!
 
  • #7
ELLE_AW said:
Yea, the Kelvin scale makes more intuitive sense to me, but yea the arbitrary nature of that zero point makes sense too, as representing another temperature scale. Thank you!

It's not really arbitrary, though. The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water, two commonly-occurring phenomena in everyday life. Similarly, Fahrenheit's scale was chosen to relate to a human's every day experience. Absolute scales like Kelvin or Rankine are non-negative, which is nice, but they are much harder to intuitively relate to what you experience in life. It's a lot less convenient to talk about freezing occurring at 273.14 K and boiling at 373.14 K.
 
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  • #8
boneh3ad said:
The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water

Originally, the reverse. It was changed by Linnaeus (yes, that Linnaeus) after Celsius' death.
 
  • #9
boneh3ad said:
It's not really arbitrary, though. The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water, two commonly-occurring phenomena in everyday life. ...

Yes, but in the big picture it is arbitrary -- we could be doing our labs on the planet Zork, where atmospheric pressure is different.

Where I live, water boils at 204F. Oops, I mean 95.6 Celsius.
 
  • #10
gmax137 said:
Yes, but in the big picture it is arbitrary -- we could be doing our labs on the planet Zork, where atmospheric pressure is different.

Where I live, water boils at 204F. Oops, I mean 95.6 Celsius.

Still not arbitrary. It has a specific and logical reason.
 
  • #11
It has a specific and logical reason, but it is arbitrary.
Lots of other values could have been used for equally
specific and logical reasons.

-- Jeff, in Minneapolis
 
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  • #12
Vanadium 50 said:
Originally, the reverse. It was changed by Linnaeus (yes, that Linnaeus) after Celsius' death.
You mean 0° used to be the boiling point of water, and 100° was the freezing point? Well then I’m glad it got changed; that’s just confusing.
 
  • #13
boneh3ad said:
It's not really arbitrary, though. The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water, two commonly-occurring phenomena in everyday life.
If the Celsius scale is "arbitrary", then so is the Kelvin scale. The difference of 1K is still based on boiling and freezing of water.
 
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  • #14
Jeff Root said:
It has a specific and logical reason, but it is arbitrary.
Lots of other values could have been used for equally
specific and logical reasons.

-- Jeff, in Minneapolis

ar·bi·trar·y
/ˈärbəˌtrerē/
adjective
  1. based on random choice or personal whim, rather than any reason or system.

So... not arbitrary.
 
  • #15
boneh3ad said:
So... not arbitrary.
Except for arbitrary definitions of "arbitrary".
 
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1. Why does Celsius temperature have +/- signs?

The +/- signs in Celsius temperature indicate whether the temperature is above or below the freezing point of water, which is 0 degrees Celsius. A positive sign (+) indicates that the temperature is above 0 degrees, while a negative sign (-) indicates that the temperature is below 0 degrees.

2. Is Celsius temperature a scalar quantity?

Yes, Celsius temperature is a scalar quantity because it only has magnitude (numerical value) and no direction. It is simply a measure of how hot or cold something is, without any indication of the direction in which the temperature is changing.

3. Why is Celsius temperature considered a scalar quantity?

Celsius temperature is considered a scalar quantity because it does not have a direction associated with it. Unlike vector quantities, such as velocity or force, which have both magnitude and direction, temperature only has magnitude and is therefore classified as a scalar quantity.

4. Can Celsius temperature have a negative value?

Yes, Celsius temperature can have a negative value. As mentioned earlier, a negative value indicates that the temperature is below the freezing point of water. This is often the case in colder climates or during winter months.

5. Why is Celsius temperature measured in degrees?

The Celsius scale was originally defined based on the freezing and boiling points of water, with 0 degrees Celsius being the freezing point and 100 degrees Celsius being the boiling point. This made it a convenient scale for measuring everyday temperatures, and the use of degrees has continued even as the scale has been redefined using more precise measurements.

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