4y ago me was dumb, yeah third question is a group

mhm

T'was 12 :(

@@aaronwelson that's only 3 pounds left till you can visit the Park! Stay strong 🔥

I get that the choice of room temperature is arbitrary and a precise choice for the frame of reference to the question would require us to define what exactly we mean by 'cold'. But the problem that I see with farenheit is how would you answer the question : what is twice colder than -17.778 deg Celsius, since that would convert to 0 deg farenheit? What I like about using room temperature as a reference point is that anything below room temperature the general population will regard as cold and anything above will be regarded as hot. In this frame of reference, room temp is set to zero so when u ask what is twice colder than room temp (or half as hot as room temp) the answer is 0/2 = 0, so the answer is still room temp which makes sense because room temp has no "coldness" so there would be no effect by doubling the coldness

@@aaronwelson Okay cool. Just wondering your location as to whether you what system is used in your area, Celsius or Fahrenheit? Most of my understanding is American based Fahrenheit so maybe different areas have different conventions and thus different understanding.

​ @aaronwelson I see that now. I hear you. Your point was this question is ambigous and poorly worded. Please forgive this long reply as I want to address all your concerns: You state we cannot divide 0 by 2 and get usable results. That's why converting to Fahrenheit avoids this problem. Americans borrowed this customary system from Germans for exactly the reasons of avoiding 0. Placing 32 degrees as freezing gives some room before 0 is reached. It would be understood in America what twice as cold is to some extent. The big problems arise when physics or other non casual concepts are involved. I was viewing the problem from the weatherman example as being for public consumption and not higher sciences that are inaccessible to laymen. As such Fahrenheit is admittedly an unusual system such that it was invented to avoid ambiguity by making conversions between Celsius and Fahrenheit easy for boiler mechanics. There was to be an understanding of what half of 0 meant. Sadly it appears this convention did not move from applied math to the classroom. "What is twice as cold as 0 degrees Fahrenheit?" There are two methods, freezing point and pure math. Method 1 We take 64°F to be room temperature. Waters freezes at 32°F so 0°F is twice the freezing point of room temperature. Twice the freezing point is -64 so that is this answer. 32 -2(32) = -64. Method 2 0°F = -17.7...°C -32...°F =-35.5...°C It must be decided whether we are referring to scale in terms of pure math or freezing point. If freezing point is not mentioned then pure math is assumed. Method 2 is most commonly agreed upon. Method 1 takes 32°F as what you call the "middle or neutral number". On a scale it would be tare or the point at which change actually occurs from a solid to a liquid. This number is chosen because it is not arbitrary but fixed by nature. Ignoring slight differences in pressure and humidity 32°F is commonly stated as a fixed value. It does not change. In a perfect model 32°F is frozen water and anything above that liquid water. This is the dividing point for "hot" and "cold" labeled "freezing point of water at normal room pressure and humidy". Freezing point is used in some context usually non weather related such as freezing point of chemicals during the winter, use of additives to make them more stable. For example fuel can turn to jelly in exetreme cold temperatures which is why commercial trucks and airliners use fuel heaters to keep fuel from doing this. High altitudes and freezing weather can ruin a planes performance and cause it to crash, the engines stutter and so on. I read the problem as "what is half the temperature?" or as "twice as cold" meaning "twice this number". The stated metric was Celsius so expect to give the answer in Celsius. Converting Celsius to Fahrenheit is a notation trick to avoid zero from our equation. Once we arrive at the number we want we convert back to Celsius. If 0°C/2 cannot produces results converting to Fahrenheit gives us a workaround we get 32°F/2. Similarly if 0°F/2 occurs we workaround with -17.7...°C/2. Twice as cold means moving left on the number line. We can take this to be subtraction or division. If twice means multiply by 2 and colder means negation of positive direction we multiply by the reciprocal 1/2. Which turns our problem into "multiply temp by the reciprocal of 2 which is 1/2" or simply " divide temp by 2". 0°C = 32°F 0/2 °C= 32/2 °F 0/2 °C= 16°F -8.8...°C = 16°F 0°F = -17.7...°C 0°F/2 =-17.7...°C/2 -32...°F =-35.5...°C Different starting points other than 0 degrees follow similar logic.

It's called the Belmont viaduct

Sorry for eventual mistakes. Typing a long comment from the phone is not ideal.

Yeah, I only learned about this concept a year after I made the video through propositional truncations from type theory. I'm cringing at how many mistakes this video has

they meant (x+y)/2

Yeah, (x+y)/2 was my intention. A bit lazy on my end but I was hoping that the parenthesis use would be implicit to the viewers

Sorry for sounding unnecessarily pedantic before (on a vid I've now realized is 2 years old, and someone already pointed it out). I loved the image on 2:22! & thnx for the reply

Maybe I am