I love the way you teach. My school teacher teaches us 1 section with no explination, and only 1 example and no one understands anything. You are the only reason i can keep up with school. Thankyou!
Pythagorean theorem ua-cam.com/video/FdLA93kCr8Y/v-deo.htmlm19s Leonard: Thank you for your time and work. It has been very enjoyful and helpful lesson. Your teaching style is a world-class. Keep it up!
16:30 is there a more rigorous way of thinking about - sqr rt 36 than "it's the opposite of whatever the sqr rt is"? Because I could answer that the root is also -6, and thus the final answer is also 6 because that's the opposite of -6.
Right. SQRT(-X) = (-X)^(1/2) That's because the Symbol treats everything under the line as in brackets. That means that when I get to calculus and I must not make the mistake of converting the SQRT to -x^(1/2) Because sqrt(-25) -25^(1/2) Good to know.
As an empiricist I'd say actual real numbers don't exist since perfect geometries don't exist, only tolerances and approximations do, which are rational numbers, not irrational numbers, at the end of the day. But I guess metaphysics isn't something to talk about too much here. Anyway, I like Lock, Hume's Skepticism and Kant's Transcendental Idealism, and reject the notion that mathematics is something innate to people. Though I do agree with Chomsky in that I do believe language is innate, but I also think language can be explained biologically. But I would also guess there are people that exist who struggle with language too, so it would seem that "inate" vs "not inate" is not something that is consistent across all of humanity. I'm sorry if I blow any minds by mentioning Hume, but I just can't not mention it when we talk about Pythagoras. Okay, that's all the philosophy I'm going to mention.
You spelt John Locke's last name wrong and your comment contains a number of grammatical errors, so I would would advise bushing up on your writing skills before trying to spread your narcissistic crap throughout the internet.
...Dude, way to name-drop every philosopher that freshman undergrads learn about in Philosophy 101. No minds are being "blown" by your brief and completely unnecessary mention of Hume. Get over yourself.
I love the way you teach. My school teacher teaches us 1 section with no explination, and only 1 example and no one understands anything. You are the only reason i can keep up with school. Thankyou!
The fact this is teaching me more than school does is impressive
no crap, i learned more in 3 days, than 2 years of high school math. 3 days than 2 years of college math..
Just thank you!!!!!!!!!!!!!!!!!!!!!!!! I am learning a lot!!!!!!!!!!!!!!!!!!
7:53 moment is brilliant, that student's confusion :D
Full of fun all the best professor 😂😂😂
you accually made it easy
THANKYOU
37:00
lol, "high pot".
Thank you so much 😊
So, Mr. Leonard, the square root of every number that is not a perfect square is going to be an irrational number?
Hmm brings up the question... what were Socrates and plato's views about Pythagoras and his ideas?
wasnt socrates' philosophies built on pythagoras' ideas?
Pythagorean theorem ua-cam.com/video/FdLA93kCr8Y/v-deo.htmlm19s
Leonard: Thank you for your time and work. It has been very enjoyful and helpful lesson. Your teaching style is a world-class. Keep it up!
Now, is it a standard thing to round irrational sq roots to the nearest hundredth??
Just depends on whatever they want. But hundredth is a common one because it is easy to write and read.
16:30 is there a more rigorous way of thinking about - sqr rt 36 than "it's the opposite of whatever the sqr rt is"? Because I could answer that the root is also -6, and thus the final answer is also 6 because that's the opposite of -6.
did u find ur answer
Right.
SQRT(-X) = (-X)^(1/2)
That's because the Symbol treats everything under the line as in brackets.
That means that when I get to calculus and I must not make the mistake of converting the SQRT to -x^(1/2)
Because sqrt(-25) -25^(1/2)
Good to know.
At the end of the video, would a length more or less of 11 work?
Sure, just depends how you want to round it. How accurate you want to be.
Dude I used to own a hooked on phonics when I was 10. Omfg thanks for the memories! ROFL
My teachers making me watch this 4 class.
Your teacher is lazy
I'm high on potenuse.
I just realized that all the major controversial issues of math are built around the real numbers. Very suspect. Fantastic lecture though.
10:29
As an empiricist I'd say actual real numbers don't exist since perfect geometries don't exist, only tolerances and approximations do, which are rational numbers, not irrational numbers, at the end of the day. But I guess metaphysics isn't something to talk about too much here. Anyway, I like Lock, Hume's Skepticism and Kant's Transcendental Idealism, and reject the notion that mathematics is something innate to people. Though I do agree with Chomsky in that I do believe language is innate, but I also think language can be explained biologically. But I would also guess there are people that exist who struggle with language too, so it would seem that "inate" vs "not inate" is not something that is consistent across all of humanity. I'm sorry if I blow any minds by mentioning Hume, but I just can't not mention it when we talk about Pythagoras. Okay, that's all the philosophy I'm going to mention.
You spelt John Locke's last name wrong and your comment contains a number of grammatical errors, so I would would advise bushing up on your writing skills before trying to spread your narcissistic crap throughout the internet.
+TheErisedHD Murphy's law strikes again! Thou shalt always make grammatical errors when correcting someone. I'm going to down a packet of oreos now.
...Dude, way to name-drop every philosopher that freshman undergrads learn about in Philosophy 101. No minds are being "blown" by your brief and completely unnecessary mention of Hume. Get over yourself.
@@sunrelease I'm sorry if I.... bLoW aNy miNdS
Someone needs to tell this guy gotta is not in the English language