Most paradoxes either stem from the misunderstanding of a topic, or aren't really paradoxes. However, here is a paradox that seems to contradict logic itself. What's going on here? And what does the liar paradox have to do with computer science? #some2
From playlist Summer of Math Exposition 2 videos
The Probability of a False Positive in a Drug Test
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Probability of a False Positive in a Drug Test
From playlist Statistics
Determining the negation of a hypothesis and conclusion from a statement
👉 Learn how to find the negation of a statement. The negation of a statement is the opposite of the statement. It is the 'not' of a statement. If a statement is represented by p, then the negation is represented by ~p. For example, The statement "It is raining" has a negation of "It is not
From playlist Negation of a Statement
The medical test paradox, and redesigning Bayes' rule
About Likelihood Ratios, also sometimes called Bayes Factors*. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/bayes-factor-thanks Home page: https:
From playlist Prob and Stats
Ex: Simplifying the Opposites of Negatives Integers
This video provides several examples of simplifying opposites of negative integers. Search Complete Video Library at http://www.mathispower4u.wordpress.com
From playlist Introduction to Integers
What is the negation of a statement and examples
👉 Learn how to find the negation of a statement. The negation of a statement is the opposite of the statement. It is the 'not' of a statement. If a statement is represented by p, then the negation is represented by ~p. For example, The statement "It is raining" has a negation of "It is not
From playlist Negation of a Statement
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
Why Does a Negative Times a Negative Equal a Positive
This tutorial uses basic math and logic to demonstrate that a negative times a negative equals a positive. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Basic Math
Plato on Knowledge - The Meno & Theaetetus (History of Philosophy)
Peter Adamson discusses Plato's dialogues the Meno and the Theaetetus, which address various epistemological topics, including Meno's paradox, Plato's theory of recollection, the nature of knowledge, relativism, and the difference between knowledge and true belief (e.g. what must be added
From playlist Socrates & Plato
Can you solve the false positive riddle? - Alex Gendler
Practice more problem-solving at https://brilliant.org/TedEd/ Solution to the bonus riddle mentioned at the end: https://brilliant.org/tededprobabilitypairs/ Mining unobtainium is hard work – the rare mineral appears in only 1% of rocks in the mine. But your friend Tricky Joe has somethin
From playlist New TED-Ed Originals
What IS a Number? As Explained by a Mathematician
NEXT VIDEO IN SERIES https://www.youtube.com/watch?v=QO9a7h87DbA See how we develop even more concepts from this mathematical foundation. Ever wondered how numbers are actually defined? In this video, you'll learn the most common way it's done by mathematicians. MY PATREON IS NOW LIVE! B
From playlist Summer of Math Exposition 2 videos
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Set Theory (Part 2a): Russell's Paradox
Please feel free to leave comments/questions on the video below! In this video, I briefly speak about the Russell paradox and why ZFC avoids this paradox when discussing pathological sets. One should hopefully see why it is that this paradox is disastrous for the naive set theory adopted
From playlist Set Theory by Mathoma
What A General Diagonal Argument Looks Like (Category Theory)
Diagonal Arguments are a powerful tool in maths, and appear in several different fundamental results, like Cantor's original Diagonal argument proof (there exist uncountable sets, or "some infinities are bigger than other infinities"), Turing's Halting Problem, Gödel's incompleteness theor
From playlist Summer of Math Exposition 2 videos
Samson Abramsky - The sheaf-theoretic structure of contextuality and non-locality
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/AbramskySlidesToposesOnline.pdf Quantum mechanics implies a fundamentally non-classical picture of the physical worl
From playlist Toposes online
Overview of null hypothesis, examples of null and alternate hypotheses, and how to write a null hypothesis statement.
From playlist Hypothesis Tests and Critical Values