Believe it or not, there are some systems where that is not true. Generally called the transitive law (which deals with all relations, not just equality), there can be cases where A = B, B = C, but A =/= C (called intransitive). We see this more with other operators, for example in rock paper scissors. Rock > Scissors, Scissors > Paper. But Rock > Paper is false.
patrink12 thanks for the information. but seriously... that defies logic. can you share some other cases else than the rock/scissors/paper example? BTW you made a mistake in the way you ordered the rock & scissor & paper. how about this: rock > scissors | scissors > paper | paper > rocks which is true ;)
patrink12 I think you should reverse all of your ( > ), otherwise the matchups are wrong. If I remember, paper *is greater than* rock in that game. I still get what you're saying
I can't seem to recall any mathematical system where A =/= C, but there are real life systems such as languages where A can speak with B, B can speak with C, but A doesn't understand C. A & B, and B & C are mutually intelligible, but it does not follow that A is mutually intelligible with C. From a little bit of research, there's also the guilt by association fallacy where if A is B, and A is C, it doesn't follow necessarily that B is related to C. The example being all Georges are criminals, and all Georges are male. Therefore all males are criminals. This isn't true, even though A is related to both B and C, B cannot be related to C. I'm not a mathematician, I just happened to take a lot of math.
If you use an invasive thermometer, you change what you are measuring unless the thermometer is at the same temperature as the thing that you are measuring, so you must be approximating when measuring temperature, until equilibrium is reached.
There is temperature without atoms to dance on it. It's more fundamental than charges, even if we often use the term 'elementary charge'. But... Dear TheNaz, could you explain me if there is a formal link between the emergent character of a property and the extensive character of it ?
Though photons have no mass, we still think of it as normal matter. TheNaz, statistically temperature can change over a large amount of stuff. Also, statistically it is more likely the larger the sample.
an extensive property is one that emerges from scaling a system, this is how i saw "hythloday71" describe temperature, im not sure what the formal connection is. However i do know that temperature is an intensive state property of all matter and thus fundemental by its very nature.
Hythloday71 but you must agree that temperature is always present in matter? this is the point i am trying to make. And the mass temperature would only change if you added cooler mass to it.
Merci beaucoup! We now have French subtitles for this video. If you too would like to try your hand in translating some science into your native language you can follow the link here - th-cam.com/users/timedtext_video?ref=wt&v=PE_zpk-EznQ&auto=yes&bl=watch
Leonard Susskind has coined the phrase for conservation of information as the 'minus 1'th law' as the most fundamental principle in theoretical physics / thermodynamics - it's a great concept !
You missed the subtle point of the 0th law. Temperature is a state function based on the nature of heat itself and temperature is its independent measure regardless of it source. So for objects A, B and C (not necessarily identical) if A is heated by microwaves to temperature T, B heated by chemical reaction to temperature T, and C heated by the sun to temperature T - the heat in A, B and C is the same in the sense of summed atomic motion (but not the total amount of heat for different objects) independent of the heat source. Subtle but necessary for the other laws to work.
Great video , but in my opinion the best way to explain this subject is in terms of molecular vibration and the Kelvin scale. To me it makes it easy to visualize . Shake slow , cold , shake fast , hot.
It just seems like the "0th law" is a given. I'm thinking that must have been why they didn't even bother to write it down in the first place. Well, we wouldn't know what they were thinking unless they documented it. So, all I have is speculation.
@1:07 in the computer world this is similar to Transitive trust. If A trusts B and A trusts C then B will have no problem trusting C due to the trust they both share with A.
Can someone help me understand why a third system is needed to get a temperature measurement? Why is A=B; A=C; therefore C=B required for measurements and scales? Could we not get measurements and scales just from A=B; therefore B=A? What makes the third system required?
An overview of why the other laws follow from this one would have been more useful. Also some thoughts on why this isn't self-evident and needs expressed as a "law".
Do the laws of thermodynamics apply to all forms of energy or only energy in the form of heat? For example, if I raise a one pound weight up one foot in the Earth's gravitational field, it now has one foot-pound more of potential energy than it did before I raised it. Did it get warmer or colder or stay the same temperature? I'm confused as to how thermodynamic principals apply in this case.
You are overreaching a bit. Let's drop Fahrenheit and keep Celsius. Ain't nobody got time for saying two-hundred-and-eighty-one as the temperature outside.
...or something similar to Kelvin where 0 K = 0 "degrees heat" and 273,16 K = 100 "degrees heat" or 1000 "degrees heat" (whatever is more convenient for the triple point of melting water).
Mikko Haavisto In retrospect, that celsius makes sense to use for weather and temperature forcasts, because the 0 degree is basically water's freezing point, and it is dangerous to our bodies, being filled with water, so it's more relevant to our day-to-day experience with temperature that we can keep celsius.
Justice is not done to this topic by this Ri video. A physics text book like "Resnick and Halliday" explains way better why this zeroth law is fundamental and not so obvious.
Fransamsterdam This is were you are forced to limit yourself with assumptions in lesser quality physics' experiments - like assuming that our object that we want to measure is in an isolated system and that our measuring equipment will not interfere and so on...
Sounds like reality to me. Practical work is all about designing strategies to circumvent the constraints reality imposes on your measurements, and if you cannot circumvent it (hence the 'lesser quality experiment') you will have to rely on assumptions.
Measuring equipment is our tools to describe the world around us. But as with any tools, none a perfect, and you can't use man made definitions to describe something 100 % correctly - at least not that I can remember at the top of my head
Fransamsterdam, you may as well ask how you can measure *anything* without disturbing the system, and so postulate that nothing is real and the entire universe is just the dream of a butterfly, but you wouldn't do anyone any good by doing so.
Can anyone explain or give an example of zeroth law pf thermodynamics without suing thermal, temperature and heat in it. I was given this question by a tutor from an institute.
Temperature measurement from freezing to boiling water is not arbitrary, it makes sense, considering water is required for life, makes up most of our bodies, and has a meaningful difference of properties to us at those temperatures. Absolute zero and plasma temperatures are fine points, but not meaningful for the average person who doesn't experience those temperatures.
Thank for mentioning Fahrenheit and Celsius but not lord Kelvin we're used to it over here in the UK as he's not British / English enough to be acknowledged.
There are actually *five* laws of thermodynamics...the fifth having to do with 'laws' regarding interactive properties of extensive and intensive properties.
Temperature does not equal energy. The 1st, 2nd and 3rd laws of thermodynamics all deal with the energy of systems not their temperatures. For example the corona of the Sun is much hotter than its surface but has a much lower energy density.
Yes, but you wouldn't use the equals sign if that was the case. Mostly because when people see that symbol they assume that it acts like equality. The fact that the video used that symbol is one of my major complaints.
+sugarfrosted, yeah, the problem with using an equals sign there is that the ability to *use* an equals sign is something that the zeroth law allows us to do. It's really saying "if I do an experiment with A and B and get a particular result, then do an experiment with B and C and also get a particular result, then I will also get that same result if I do the experiment with A and C". It doesn't take too much imagination to come up with examples of experiments where that is not true.
Yes, The Royal Society is very embarrassed by the fact that all it's great members of the past were white men, so now the RS is embracing 'diversity' in a big way.
I think atoms at absolute zero are in the present longer then atoms that are warmer ( you can take their pictures) so are photons the transformation of time into mater?
I think I'm missing the point, but what you said about if A=C and B=C, then A=B... I was just sat here thinking "no shit"... am I missing the point? It just seems obvious
Suppose the distance between two points a and b is equal to the distance between points b and c. It does not follow that the distance between a and c are necessarily equal to the others. The zeroth law of thermodynamics is what allows a single numerical value to be assigned to any body to express the fact it would be in a state of thermal equilibrium with any other body at the same temperature, if they were brought into thermal contact.
@The_Royal_Institution I'm wondering: Does the zeroth law also remain valid if relativistic effects are taken into account, say, if one of the glasses is traveling near the speed of light?
mLaw (Mikes Law) if a 4th glass is added, and it is not at equilibrium, then N4 != N1-3 Zeroth Law kinda feels like he got an everyone wins medal, unless, there is more I am missing, thus, missing from this video
wait... 1) Isn't this just basic logic? (en.wikipedia.org/wiki/Transitive_relation) (A=B ^ B=C) => (A=C)? 2) Was Celsius into lipstick? not judging here :)
what transferred from your glass jars which altered the thermometer? that what you call heat is physical and all physical things have structure and shape. with this clue work it out. when you do you have progressed world and science. MG1
I'm a kiwi, and it sounds kiwi to me with a little hint of UK. My guess is she's a kiwi who lived there for a while... also the channel is Royal Institute
question...is it not wrong for scientists to tell the peoples that time only began when the baby was born in the big bang......................................when in fact it is not improbable that our universe is nothing more than a new time zone in a much older universe and that the steady state universe may well exist far beyond our capability to detect whats out there. that the steady state and big bang universe can be unified in theory.
Oh it's impossible to contradict the principles of thermodynamics ? Oh, all right then, let's go back to 1915 and tell Einstein to become a farmer, for Newton's laws of gravitation are absolute and unfalsifiable truths.
Newton's laws of gravitation were never looked at as absolute in the same way that thermodynamics is. The equations of gravity came about empirically, and no-one really understood what was underlying it and causing the gravity. Newton once said: "I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses" The laws of thermodynamics being violated would be like the laws of mathematics being violated - it is so fundamentally a part of the fabric of how things work, it just doesn't make sense to get more energy out of a system than you put in, or for heat to spontaneously flow against a temperature gradient. Even after Quantum Mechanics started being studied, and scientists saw particles vanishing and reappearing from nothing and tunnelling through potential wells, the field theories that eventually arose out of it are still in line with thermodynamics.
Mathematicians once tried to prove that 1+1=2 but discovered you can't. You have to have that as an axiom. The 0th law is like an axiom that lets you do the physics with the confidence of a mathematical theorem.
Brilliant to see someone who looks so happy and excited to be talking about science.
One of her eyes is more excited than the other.
Her energy is amazing. When a teacher is passionate about the subject, it’s nothing short of divine.
This woman looked like she was gonna break out laughing any second.
lol ! thats exactly what i was thinkin !
to me she looked like she was going to cry
Yup
a=b
b=c
then: c=a
.... i can't believe someone had to create a law out of this. -.-*
Believe it or not, there are some systems where that is not true. Generally called the transitive law (which deals with all relations, not just equality), there can be cases where A = B, B = C, but A =/= C (called intransitive). We see this more with other operators, for example in rock paper scissors. Rock > Scissors, Scissors > Paper. But Rock > Paper is false.
patrink12 thanks for the information.
but seriously... that defies logic. can you share some other cases else than the rock/scissors/paper example?
BTW you made a mistake in the way you ordered the rock & scissor & paper. how about this:
rock > scissors | scissors > paper | paper > rocks which is true ;)
patrink12 I think you should reverse all of your ( > ), otherwise the matchups are wrong. If I remember, paper *is greater than* rock in that game. I still get what you're saying
Sorry that was a typo. I fixed it.
I can't seem to recall any mathematical system where A =/= C, but there are real life systems such as languages where A can speak with B, B can speak with C, but A doesn't understand C. A & B, and B & C are mutually intelligible, but it does not follow that A is mutually intelligible with C.
From a little bit of research, there's also the guilt by association fallacy where if A is B, and A is C, it doesn't follow necessarily that B is related to C. The example being all Georges are criminals, and all Georges are male. Therefore all males are criminals. This isn't true, even though A is related to both B and C, B cannot be related to C.
I'm not a mathematician, I just happened to take a lot of math.
If you use an invasive thermometer, you change what you are measuring unless the thermometer is at the same temperature as the thing that you are measuring, so you must be approximating when measuring temperature, until equilibrium is reached.
That's a good way to explain the uncertainty principle.
this is a clear, concise explanation of the 4 laws. I will use this as a model for my class and i hope you will produce new presentation..
Temperature isn't a 'fundamental' property of matter. It is an emergent phenomena!
Hythloday71 it is not an extensive property
There is temperature without atoms to dance on it. It's more fundamental than charges, even if we often use the term 'elementary charge'.
But...
Dear TheNaz, could you explain me if there is a formal link between the emergent character of a property and the extensive character of it ?
Though photons have no mass, we still think of it as normal matter.
TheNaz, statistically temperature can change over a large amount of stuff. Also, statistically it is more likely the larger the sample.
an extensive property is one that emerges from scaling a system, this is how i saw "hythloday71" describe temperature, im not sure what the formal connection is. However i do know that temperature is an intensive state property of all matter and thus fundemental by its very nature.
Hythloday71 but you must agree that temperature is always present in matter? this is the point i am trying to make. And the mass temperature would only change if you added cooler mass to it.
Merci beaucoup! We now have French subtitles for this video. If you too would like to try your hand in translating some science into your native language you can follow the link here - th-cam.com/users/timedtext_video?ref=wt&v=PE_zpk-EznQ&auto=yes&bl=watch
Leonard Susskind has coined the phrase for conservation of information as the 'minus 1'th law' as the most fundamental principle in theoretical physics / thermodynamics - it's a great concept !
Hythloday71 explained in his book: The theoretical minimum for doing physics
Hythloday71: 3-D Color graphing of of fluid Thermal Dynamics in real time or slow motion.
those glasses look very refreshing, remember to drink water folks
You missed the subtle point of the 0th law. Temperature is a state function based on the nature of heat itself and temperature is its independent measure regardless of it source. So for objects A, B and C (not necessarily identical) if A is heated by microwaves to temperature T, B heated by chemical reaction to temperature T, and C heated by the sun to temperature T - the heat in A, B and C is the same in the sense of summed atomic motion (but not the total amount of heat for different objects) independent of the heat source. Subtle but necessary for the other laws to work.
Great video , but in my opinion the best way to explain this subject is in terms of molecular vibration and the Kelvin scale. To me it makes it easy to visualize . Shake slow , cold , shake fast , hot.
It just seems like the "0th law" is a given. I'm thinking that must have been why they didn't even bother to write it down in the first place. Well, we wouldn't know what they were thinking unless they documented it. So, all I have is speculation.
Are there laws that are not given, given enough observational data?
Some guy on a comment higher up stated that this is a law because for some fields of mathematics this doesn't apply.
I found a good source to master my basics!!! Thank u😎😎
Awesome presentation! You're a splendid teacher! Thanks so much!
@1:07 in the computer world this is similar to Transitive trust. If A trusts B and A trusts C then B will have no problem trusting C due to the trust they both share with A.
Can someone help me understand why a third system is needed to get a temperature measurement? Why is A=B; A=C; therefore C=B required for measurements and scales? Could we not get measurements and scales just from A=B; therefore B=A? What makes the third system required?
I don't get it what you are trying to ask.Can you explain more clearly?
You need a third eye my friend!
An overview of why the other laws follow from this one would have been more useful. Also some thoughts on why this isn't self-evident and needs expressed as a "law".
Se videos 2, 3 and 4 I guess.
i don't think the other laws follow from Law 0, or else you'd only need Law 0
Attila Asztalos នបវច
Thermodynamics is a fascinating subject!
Bruhh😂
Do the laws of thermodynamics apply to all forms of energy or only energy in the form of heat?
For example, if I raise a one pound weight up one foot in the Earth's gravitational field, it now has one foot-pound more of potential energy than it did before I raised it. Did it get warmer or colder or stay the same temperature? I'm confused as to how thermodynamic principals apply in this case.
Your muscles would get warmer, since you did work.
I wish we all use Kelvin universally and drop Fahrenheit and Celsius.
You are overreaching a bit. Let's drop Fahrenheit and keep Celsius. Ain't nobody got time for saying two-hundred-and-eighty-one as the temperature outside.
1CΔ = 1KΔ, so Celsius is fine for every day use.
You'll burn in hell for your heresy.
...or something similar to Kelvin where 0 K = 0 "degrees heat" and 273,16 K = 100 "degrees heat" or 1000 "degrees heat" (whatever is more convenient for the triple point of melting water).
Mikko Haavisto In retrospect, that celsius makes sense to use for weather and temperature forcasts, because the 0 degree is basically water's freezing point, and it is dangerous to our bodies, being filled with water, so it's more relevant to our day-to-day experience with temperature that we can keep celsius.
Justice is not done to this topic by this Ri video. A physics text book like "Resnick and Halliday" explains way better why this zeroth law is fundamental and not so obvious.
Mam can u please tell the unique application for zeroth law of thermodynamics
How can you measure the temperature of a system without interfering/disturbing the system, which means changing the temperature?
Fransamsterdam This is were you are forced to limit yourself with assumptions in lesser quality physics' experiments - like assuming that our object that we want to measure is in an isolated system and that our measuring equipment will not interfere and so on...
Frederik Espersen Knudsen Sounds like a fairy tale.
Sounds like reality to me. Practical work is all about designing strategies to circumvent the constraints reality imposes on your measurements, and if you cannot circumvent it (hence the 'lesser quality experiment') you will have to rely on assumptions.
Measuring equipment is our tools to describe the world around us. But as with any tools, none a perfect, and you can't use man made definitions to describe something 100 % correctly - at least not that I can remember at the top of my head
Fransamsterdam, you may as well ask how you can measure *anything* without disturbing the system, and so postulate that nothing is real and the entire universe is just the dream of a butterfly, but you wouldn't do anyone any good by doing so.
1:08 Transitivity
all we do is speculation
I recommend people update their understanding on scales using veritasiums recent video
This woman cheered me up.
How about the proposed fourth law which states that thermodynamic equations must be balanced regarding their extrinsic and intrinsic properties?
Can anyone explain or give an example of zeroth law pf thermodynamics without suing thermal, temperature and heat in it. I was given this question by a tutor from an institute.
best video ever
Temperature measurement from freezing to boiling water is not arbitrary, it makes sense, considering water is required for life, makes up most of our bodies, and has a meaningful difference of properties to us at those temperatures. Absolute zero and plasma temperatures are fine points, but not meaningful for the average person who doesn't experience those temperatures.
Nice and clear. Thanks.
I couldn't place that accent. New Zealand?
Tiago Seiler Yep !
what temperature do the thermometers start at?
I dont understand the significance of the zeroth law. I mean, if A, B and C have the same temperature, isnt it obvious that A=B=C?
What would it look like if you used thermal imaging in a 3-D camera technology?
Thank for mentioning Fahrenheit and Celsius but not lord Kelvin we're used to it over here in the UK as he's not British / English enough to be acknowledged.
There are actually *five* laws of thermodynamics...the fifth having to do with 'laws' regarding interactive properties of extensive and intensive properties.
Thermydonamics. Now you cannot unhear.
Is that Lean ?
Mr. Celsius actually created the temperature scale with zero as the water boiling point and 100 as freezing!.
the first temperature scale was actually Rømer from 1701
Temperature does not equal energy.
The 1st, 2nd and 3rd laws of thermodynamics all deal with the energy of systems not their temperatures.
For example the corona of the Sun is much hotter than its surface but has a much lower energy density.
cool
nice thanks
... isn't there already a mathematical law that says the same thing?
Galileo did invent a thermometer, called Galileo's air thermometer (more accurately termed a thermoscope), in or before 1603
يالها من إبتسامة
What a smile
What is the song at the beginning
What about the -1nth law?
isn't the zeroth law basicly just a restatement of the law of congruence from geometry?
...or transitivity in mathematics. Or the law of the excluded middle. How surprising that different parts of the world share the same fundamentals.
Is there anything at all known to us that doesn't follow the "if A=C and B=C then A=B"?
i believe the equal sign is the effect of the zeroth law
Don't know about physics, but in math there is. E.g. where A < B and B < C but not A < C.
Yes, but you wouldn't use the equals sign if that was the case. Mostly because when people see that symbol they assume that it acts like equality. The fact that the video used that symbol is one of my major complaints.
+sugarfrosted, yeah, the problem with using an equals sign there is that the ability to *use* an equals sign is something that the zeroth law allows us to do.
It's really saying "if I do an experiment with A and B and get a particular result, then do an experiment with B and C and also get a particular result, then I will also get that same result if I do the experiment with A and C".
It doesn't take too much imagination to come up with examples of experiments where that is not true.
of course there is, if an Apple is a fruit, and and Orange is a fruit, it does NOT follow that an apple is an orange!
Search on TH-cam: Theory of heat journal.
Brilliant woman, talking about science and temperature.
This might be the hottest video on youtube.
Yes, The Royal Society is very embarrassed by the fact that all it's great members of the past were white men, so now the RS is embracing 'diversity' in a big way.
I think this women is more advance in this experiment. We need more elaborate to understand
This is the MOST Critical Law🙄 in entire Physics ❗Now , I'm gonna give mine law as well😁
what is the music?
I think atoms at absolute zero are in the present longer then atoms that are warmer ( you can take their pictures) so are photons the transformation of time into mater?
I think I'm missing the point, but what you said about if A=C and B=C, then A=B... I was just sat here thinking "no shit"... am I missing the point? It just seems obvious
Suppose the distance between two points a and b is equal to the distance between points b and c. It does not follow that the distance between a and c are necessarily equal to the others. The zeroth law of thermodynamics is what allows a single numerical value to be assigned to any body to express the fact it would be in a state of thermal equilibrium with any other body at the same temperature, if they were brought into thermal contact.
@The_Royal_Institution I'm wondering: Does the zeroth law also remain valid if relativistic effects are taken into account, say, if one of the glasses is traveling near the speed of light?
mLaw (Mikes Law) if a 4th glass is added, and it is not at equilibrium, then N4 != N1-3
Zeroth Law kinda feels like he got an everyone wins medal, unless, there is more I am missing, thus, missing from this video
very interesting
very charming
And such a beautiful smile. Very lovely.
I love your accent
The thermometer shouldn't touch the bottom and corner of the vessel. 🙄🙄🙄🙄🙄
Celius did not invent celius scale
Edvards Treijs maybe not, but he sure invented some awesome piano riffs.
veritasium?
He did, they just later inverted it when he died.
You could have brought a more interesting case instead of saying A = B = C
Quantum mechanic does not say so
Go Kiwi!
I think I have a crush on her.
Where are 0.99, 0.98, 0.97. Laws of thermodynamics ....😥😥😥
Valeska Ting you are lovely.
hey there leeds eng
wait...
1) Isn't this just basic logic? (en.wikipedia.org/wiki/Transitive_relation)
(A=B ^ B=C) => (A=C)?
2) Was Celsius into lipstick? not judging here :)
what transferred from your glass jars which altered the thermometer? that what you call heat is physical and all physical things have structure and shape. with this clue work it out. when you do you have progressed world and science. MG1
Is that an Australian accent she has ?
As an Aussie, I'd say no. Sounds Kiwi to me.
fatsquirrel75 Yes, Aussie and Kiwi accents are hard to discern by outsiders.
Is it not more like a cross between a South African accent & a sheep?
NZ; very (to my native ears) different vowels to Australian.
I'm a kiwi, and it sounds kiwi to me with a little hint of UK. My guess is she's a kiwi who lived there for a while... also the channel is Royal Institute
U r very beautiful
She's so cute, it hurts!
the girl speaks perfect English with British accent
New Zealand accent thanks, sooo different to British.
Why did you comment on this?
a clever kiwi
Asian
Zeroth lawIf A is a friend of B and B is a friend of C then A is also friend of C 😱😱😱
question...is it not wrong for scientists to tell the peoples that time only began when the baby was born in the big bang......................................when in fact it is not improbable that our universe is nothing more than a new time zone in a much older universe and that the steady state universe may well exist far beyond our capability to detect whats out there. that the steady state and big bang universe can be unified in theory.
Oh it's impossible to contradict the principles of thermodynamics ? Oh, all right then, let's go back to 1915 and tell Einstein to become a farmer, for Newton's laws of gravitation are absolute and unfalsifiable truths.
Newton's laws of gravitation were never looked at as absolute in the same way that thermodynamics is. The equations of gravity came about empirically, and no-one really understood what was underlying it and causing the gravity. Newton once said: "I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses"
The laws of thermodynamics being violated would be like the laws of mathematics being violated - it is so fundamentally a part of the fabric of how things work, it just doesn't make sense to get more energy out of a system than you put in, or for heat to spontaneously flow against a temperature gradient. Even after Quantum Mechanics started being studied, and scientists saw particles vanishing and reappearing from nothing and tunnelling through potential wells, the field theories that eventually arose out of it are still in line with thermodynamics.
English isn't my mine, can someone give me the point of this video, please :v ?
a = b
b = c
so a = c
why is there a law on this ..... 5 year olds proably know this aready
Is this not common knowledge? I'm seriously asking.
Mathematicians once tried to prove that 1+1=2 but discovered you can't. You have to have that as an axiom. The 0th law is like an axiom that lets you do the physics with the confidence of a mathematical theorem.
𝐆𝐨𝐨𝐝 𝐛𝐫𝐨𝐯𝐨😊😊😊
𝐆𝐢𝐯𝐞 𝐨𝐭𝐡𝐞𝐫 𝐥𝐚𝐰 𝐢𝐧𝐟𝐨.....