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Space Math Academy

space-math.academy

11–20 of 26 posts

Re: Space Math Academy

#11
post #3

Only had a couple minutes to try this but I'm already confused by a couple things. - "UNAUTHORIZED ACCESS IS A FEDERAL OFFENSE" I guess this is a joke but I don't really get it, just seems like a weird thing to have there. - In the first popup, the "audio transmission" is significantly different than the printed text. - "The Earth is a sphere." - this is not true, I think it should be classified as a hypothesis - "Th…

[deleted]

Re: Space Math Academy

#12
post #3

Only had a couple minutes to try this but I'm already confused by a couple things. - "UNAUTHORIZED ACCESS IS A FEDERAL OFFENSE" I guess this is a joke but I don't really get it, just seems like a weird thing to have there. - In the first popup, the "audio transmission" is significantly different than the printed text. - "The Earth is a sphere." - this is not true, I think it should be classified as a hypothesis - "Th…

There are photos of the Earth taken from the neighborhood of the Moon. They show something that is indistinguishable from a sphere to the naked eye.

Sure, with instruments you can measure it and find that it deviates from a perfect sphere. But every object that is made of atoms multiple atoms is not a perfect sphere.

Re: Space Math Academy

#13
post #12
post #3

Only had a couple minutes to try this but I'm already confused by a couple things. - "UNAUTHORIZED ACCESS IS A FEDERAL OFFENSE" I guess this is a joke but I don't really get it, just seems like a weird thing to have there. - In the first popup, the "audio transmission" is significantly different than the printed text. - "The Earth is a sphere." - this is not true, I think it should be classified as a hypothesis - "Th…

There are photos of the Earth taken from the neighborhood of the Moon. They show something that is indistinguishable from a sphere to the naked eye. Sure, with instruments you can measure it and find that it deviates from a perfect sphere. But every object that is made of atoms multiple atoms is not a perfect sphere.

I don't think it's a pedantic point, this is supposed to be a site about learning math that NASA scientists use, and the exact shape of the Earth is very relevant to them.

I just think it shouldn't be used as a canonical example of a fact when you'll probably learn at some point that it technically isn't true.

Re: Space Math Academy

#14
I'm so confused by the first task...

specifically I got hit with "chimpanzees and humans have common ancestor" (or something like that)

definition for a "fact" (supposed correct answer) given on the page ("A basic statement established by experiment or observation. True under specific conditions.") seems to me akin to "direct result of some experiment"

meanwhile, determining common ancestry - in my mind - took a lot of work, comparing anatomy, digging out bones and stuff... all the correlation, all the composition

surely it's more of a theory that's supported by many facts?

Re: Space Math Academy

#15

>Math But the first exercise is about judging statements based on nebulous definitions, definitely unrelated to mathematics?

Mathematics is concerned with a lot more than arithmetic and computation. Beyond the most basic levels, a mathematician will profit greatly from being aware of this type of epistemological vocabulary and a strong sense of their underlying meaning. Whether reading or writing mathematics, we're constantly dealing with propositions, and correctly taxonomising those propositions can really help keep your mental workspace…

To be honest I do not think that these word games are helpful at all. Throughout all of my mathematical education what has always helped me to keep my "mental workspace clean", was to never abandon the model.

> and correctly taxonomising those propositions

The correct taxonomy for a proposition is true/false and proven/unproven.

I can not even fathom a mathematical model where distinguishing a "law" from a "fact" is meaningful.

And the idea of defining a "fact" as something empirically demonstrated is just ridiculous, I totally reject it.

Re: Space Math Academy

#16
post #3

Only had a couple minutes to try this but I'm already confused by a couple things. - "UNAUTHORIZED ACCESS IS A FEDERAL OFFENSE" I guess this is a joke but I don't really get it, just seems like a weird thing to have there. - In the first popup, the "audio transmission" is significantly different than the printed text. - "The Earth is a sphere." - this is not true, I think it should be classified as a hypothesis - "Th…

Looks like NASA is to blame for these https://spacemath.gsfc.nasa.gov/weekly/2page23.pdf

I do agree much of the categorisation is baffling (I could nitpick several others). In that respect it's a shame to start off with that lesson when some of the others are so much more relevant to the mission concept, interesting and less debatable

Re: Space Math Academy

#17
Oooh, I hate this.

"The Earth is a sphere" -> nope

"Water freezes at 32F" -> depends

"Apes and Humans share a common ancestor" -> not a fact, although an extremely likely theory. The site's definition about fact mentions observability. I'd accept "Ape and Humans share 99.x% of DNA, indicating common ancestry" as a fact

Re: Space Math Academy

#18
post #3

Only had a couple minutes to try this but I'm already confused by a couple things. - "UNAUTHORIZED ACCESS IS A FEDERAL OFFENSE" I guess this is a joke but I don't really get it, just seems like a weird thing to have there. - In the first popup, the "audio transmission" is significantly different than the printed text. - "The Earth is a sphere." - this is not true, I think it should be classified as a hypothesis - "Th…

Looks like NASA is to blame for these https://spacemath.gsfc.nasa.gov/weekly/2page23.pdf I do agree much of the categorisation is baffling (I could nitpick several others). In that respect it's a shame to start off with that lesson when some of the others are so much more relevant to the mission concept, interesting and less debatable

Thanks, I tried to find that original source but wasn't able to.

Re: Space Math Academy

#19

Earlier quoted context omitted.

Mathematics is concerned with a lot more than arithmetic and computation. Beyond the most basic levels, a mathematician will profit greatly from being aware of this type of epistemological vocabulary and a strong sense of their underlying meaning. Whether reading or writing mathematics, we're constantly dealing with propositions, and correctly taxonomising those propositions can really help keep your mental workspace…

To be honest I do not think that these word games are helpful at all. Throughout all of my mathematical education what has always helped me to keep my "mental workspace clean", was to never abandon the model. > and correctly taxonomising those propositions The correct taxonomy for a proposition is true/false and proven/unproven. I can not even fathom a mathematical model where distinguishing a "law" from a "fact" is…

I dislike the linked site. A lot. But counterpoint: Zermelo-Frankel with or without Axiom of Choice is a fair mathematical analogue to distinguishing laws and facts, in my opinion.

Put another way, decidability is a large area of mathematical research.

Re: Space Math Academy

#20

Earlier quoted context omitted.

Looks like NASA is to blame for these https://spacemath.gsfc.nasa.gov/weekly/2page23.pdf I do agree much of the categorisation is baffling (I could nitpick several others). In that respect it's a shame to start off with that lesson when some of the others are so much more relevant to the mission concept, interesting and less debatable

Thanks, I tried to find that original source but wasn't able to.

I'm trying to overthink the space power systems exercise now ;-)

Actually very nicely designed, but the pedant in me is screaming "you can't just expect the other 3 solar panels to have the same number of dead zones" and I can't find the source either...

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