Even as someone, who finished the similar German high school (called "Gymnasium") about 10 years ago, I like to watch videos like this, because I'm a little bit scared to simply forget something and try to to remember that way. Also: hosts like you are awesome!
Just one fact, every number that finish with five is easy to square (15, 25, 35, 45...) like this f.e. 15 square: just multiply number 1 (remove 5 from 15) with next number after 1 which is 2, so 1*2 is 2 and after 2 add 25 so result 15 square is 225. let's try 45, 4 multiply with 5 it is 20 after add 25 is 2025, and f.e. 75 so 7*8=56 so 75 square is 5625
@@AugustinSteven ... it's a meme statement, basically saying that I have lived this long in life before someone ever taught me this very basic thing that probably should have been taught in school and wasn't. also known as "I learned something new" It's a sad state of public education system.
The '+' symbol was used in Latin as a shorthand for 'et', which means 'and'. It was used like the '&' symbol. So, '5 + 3' meant 'five and three', which is one of the ways we still talk about addition, at least in English. You might hear someone say "five and three makes eight" instead of "five plus three equals eight."
There seems to be an assumption here that the converse of the Pythagorean theorem is true just because the Pythagorean theorem is true. This is not the case. The converse needs to be proved separately. You should at least state this even if you don't supply the proof. The example here is NOT a counter-example. It is just a case to which the converse does not apply since c2 /= a2 + b2. (There may be a way to type superscripts here, but I haven't found it.) A counter-example of the converse would be a triangle for which c2 = a2 + b2, but the triangle is not a right triangle. No such triangle exists because the converse is true (though not proved here). Counter-examples are used to demonstrate that a proposition is false. Since the converse is true, there can be no counter-example. If I were to assert that every odd number is less than 3, you could disprove my assertion by giving 5 as a counter-example since it is an odd number that is not less than 3. An easier way to show that 16 squared is not equal to 289 is to observe that 16 squared must be even, and 289 is odd.
A conditional implies its contrapositive. Here, he is simply using _modus ponens._ Like you said, he has said nothing about the converse. But if he's proven Pythagoras as a biconditional, that would include both inverse and converse.
@@menachemsalomon The contrapositive (like the plumage) don't enter into it. For _modus ponens_ to be in play, he has to have established the conditional (in this case that would be the converse), but he hasn't; he simply asserts it. That bothers me because the proof is dead simple. Yes, the Pythagorean theorem is biconditional, but, if he's proved it, I can't find the video.
@@thedoc-eh7yj In the counter example, Eddie shows a triangle that has sides such that a^2 + b^2 != c^2, and concludes the triangle is not right. Given the theorem as he originally stated it, he's proven that the conclusion (in this case) doesn't hold, and infers that the premise (antecedent?) cannot be true. I mentioned the contrapositive because _modus ponens_ is simply _modus tollens_ performed on the contrapositive. Neither had any bearing on the converse or inverse (which are contrapositives of each other). (I learned this stuff 15 years ago, so I could be a bit rusty, and might have gotten some terms confused. I've used the skills and the proofs since, but not formally, and not with the terminology.)
@@menachemsalomon I agree. This is a black mark for the usually excellent Eddie. He has committed what is known in the trade as "the converse error": given you know A implies B and you know B you can deduce A.
Goes to show that you can prove (or disprove) that a random triangle is a right triangle using the converse of the Pythagorean theorem. Basically, if I gave you three measurements, let's say... 12, 35, and 37 inches. Then, i followed up with a question... "If those three measurements I gave you form a shape, what is the area of that shape?" Of course, it's obvious that that shape will be a triangle, but you cannot simply calculate the area of any triangle without its height. If you did, however, do the converse of the Pythagorean Theorem (assuming that you did it with your calculator), you might have probably guessed that 12-35-37 is another right triangle. So, calculating the area is easier to do, since you can just take the two smaller sides of the triangle (12 in. and 35 in.) as base and height, divide it by 2, and there you go! The area of the shape is now solved!
Ah, 10th grade logic. A conditional implies its contrapositive. In this case, AIR, we've used _modus ponens._ But have the inverse or converse been proven properly? Is Pythagoras's theorem a biconditional (if and only if)?
Even as someone, who finished the similar German high school (called "Gymnasium") about 10 years ago, I like to watch videos like this, because I'm a little bit scared to simply forget something and try to to remember that way. Also: hosts like you are awesome!
Just one fact, every number that finish with five is easy to square (15, 25, 35, 45...) like this f.e. 15 square: just multiply number 1 (remove 5 from 15) with next number after 1 which is 2, so 1*2 is 2 and after 2 add 25 so result 15 square is 225. let's try 45, 4 multiply with 5 it is 20 after add 25 is 2025, and f.e. 75 so 7*8=56 so 75 square is 5625
Is there an Eddie woo for physics and chemistry?
Good point about notes
I like to rewrite data in a simpler form for clearer understanding
His passion is infinite
Just a heads up, the camera seems like it was slightly out of focus making the writing on the white board a little fuzzy. Great video nonetheless!
Good
✴MIND BLOWN✴
07:06
07:20
{ nth | n element of N - {1,2,3,4,405001} and n divides 2025005}
I am this many years old in learning about the etymology behind the mathematical symbols of equal and divide.
"I am this many years old" ? What does that mean ?
@@AugustinSteven ... it's a meme statement, basically saying that I have lived this long in life before someone ever taught me this very basic thing that probably should have been taught in school and wasn't.
also known as "I learned something new"
It's a sad state of public education system.
The audio is only in my left headphone
He is making your left ear feel happier about itself. It's been neglected for so long. Therapy session with eddie woo.
My left ear enjoyed the video
Sir, why do we use '+' for addition?
The '+' symbol was used in Latin as a shorthand for 'et', which means 'and'. It was used like the '&' symbol. So, '5 + 3' meant 'five and three', which is one of the ways we still talk about addition, at least in English. You might hear someone say "five and three makes eight" instead of "five plus three equals eight."
@@PaddedShaman Good explanation!
why can i only hear out of one earbud
this one of my teachers lmao hey mr woo
Tell woo that there is problem with the audio 😁
What grade is this
On a phone screen this is not in focus...tsk tsk.
There seems to be an assumption here that the converse of the Pythagorean theorem is true just because the Pythagorean theorem is true. This is not the case. The converse needs to be proved separately. You should at least state this even if you don't supply the proof.
The example here is NOT a counter-example. It is just a case to which the converse does not apply since c2 /= a2 + b2. (There may be a way to type superscripts here, but I haven't found it.) A counter-example of the converse would be a triangle for which c2 = a2 + b2, but the triangle is not a right triangle.
No such triangle exists because the converse is true (though not proved here).
Counter-examples are used to demonstrate that a proposition is false. Since the converse is true, there can be no counter-example. If I were to assert that every odd number is less than 3, you could disprove my assertion by giving 5 as a counter-example since it is an odd number that is not less than 3.
An easier way to show that 16 squared is not equal to 289 is to observe that 16 squared must be even, and 289 is odd.
A conditional implies its contrapositive. Here, he is simply using _modus ponens._ Like you said, he has said nothing about the converse. But if he's proven Pythagoras as a biconditional, that would include both inverse and converse.
@@menachemsalomon The contrapositive (like the plumage) don't enter into it. For _modus ponens_ to be in play, he has to have established the conditional (in this case that would be the converse), but he hasn't; he simply asserts it. That bothers me because the proof is dead simple. Yes, the Pythagorean theorem is biconditional, but, if he's proved it, I can't find the video.
@@thedoc-eh7yj In the counter example, Eddie shows a triangle that has sides such that a^2 + b^2 != c^2, and concludes the triangle is not right. Given the theorem as he originally stated it, he's proven that the conclusion (in this case) doesn't hold, and infers that the premise (antecedent?) cannot be true.
I mentioned the contrapositive because _modus ponens_ is simply _modus tollens_ performed on the contrapositive. Neither had any bearing on the converse or inverse (which are contrapositives of each other).
(I learned this stuff 15 years ago, so I could be a bit rusty, and might have gotten some terms confused. I've used the skills and the proofs since, but not formally, and not with the terminology.)
@@menachemsalomon I agree. This is a black mark for the usually excellent Eddie. He has committed what is known in the trade as "the converse error": given you know A implies B and you know B you can deduce A.
@@MalcolmBrooks-bq4nt Now I have to go back and re-watch this video to see what I was right about. Thanks, man. ;-)
what is the point of this video
Goes to show that you can prove (or disprove) that a random triangle is a right triangle using the converse of the Pythagorean theorem.
Basically, if I gave you three measurements, let's say... 12, 35, and 37 inches. Then, i followed up with a question... "If those three measurements I gave you form a shape, what is the area of that shape?"
Of course, it's obvious that that shape will be a triangle, but you cannot simply calculate the area of any triangle without its height. If you did, however, do the converse of the Pythagorean Theorem (assuming that you did it with your calculator), you might have probably guessed that 12-35-37 is another right triangle.
So, calculating the area is easier to do, since you can just take the two smaller sides of the triangle (12 in. and 35 in.) as base and height, divide it by 2, and there you go! The area of the shape is now solved!
Ah, 10th grade logic. A conditional implies its contrapositive. In this case, AIR, we've used _modus ponens._ But have the inverse or converse been proven properly? Is Pythagoras's theorem a biconditional (if and only if)?
2nd
1st
Any indians ??
Feel ashamed for the students ..
Dont even know the squares
Ask any indian ...
They would blow it out 🙎
Lmao true
@@rohansharma1250 rohan bhaiya ? Is that you ? 😂
If not .. just ignore ...
My brothers name is also rohan sharma ..
Yes cowboys don't know their squares.