Formal languages | Metalogic | Logic symbols
A logical symbol is a fundamental concept in logic, tokens of which may be marks or a configuration of marks which form a particular pattern. Although the term "symbol" in common use refers at some times to the idea being symbolized, and at other times to the marks on a piece of paper or chalkboard which are being used to express that idea; in the formal languages studied in mathematics and logic, the term "symbol" refers to the idea, and the marks are considered to be a token instance of the symbol. In logic, symbols build literal utility to illustrate ideas. (Wikipedia).
Algebraic Expressions (Basics)
This video is about Algebraic Expressions
From playlist Algebraic Expressions and Properties
What is the definition of scientific notation
👉 Learn about scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the number of digits up to t
From playlist Scientific Notation | Learn About
301.5C Definition and "Stack Notation" for Permutations
What are permutations? They're *bijective functions* from a finite set to itself. They form a group under function composition, and we use "stack notation" to denote them in this video.
From playlist Modern Algebra - Chapter 16 (permutations)
How to evaluate an expression three terms
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
ALGEBRA & PRE-ALGEBRA REVIEW: Ch 1 (26 of 53) What is an Algebraic Expression?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of what are expressions. Next video in this series can be seen at: https://youtu.be/Ez5hN-DuoyE
From playlist Michel van Biezen: MATH TO KNOW BEFORE HIGH SCHOOL
Learn how to evaluate an algebraic expression, 3x^2 - 2yx - x + 4; x = -1 and y = -2
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with one variable ex 7, w^2 - 3w + 10; w = 4
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
I still don't get it evaluating expressions
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Live CEOing Ep 112: Language Design in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Live CEOing Ep 135: Formal Symbols Font Design in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Formal Symbols Font Design in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Live CEOing Ep 28: Proofs in the Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Proofs in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Thinking Machines: Searle's Chinese Room Argument (1984)
Professor John Searle considers the issue of whether a digital computer can think, presenting his famous Chinese Room thought experiment. This comes from John Searle's 1984 BBC Reith lectures on Minds, Brains & Science which can be found here: https://youtu.be/bij0psFO9tY More Short Video
From playlist Philosophy of Mind
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
Live CEOing Ep 469: Language Design in Wolfram Language
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wo
From playlist Behind the Scenes in Real-Life Software Design
What if Current Foundations of Mathematics are Inconsistent? | Vladimir Voevodsky
Vladimir Voevodsky, Professor, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/voevodsky In this lecture, Professor Vladimir Voevodsky begins with Gödel's second incompleteness theorem to discuss the possibility that the formal theory of f
From playlist Mathematics
At-scale Formal Verification for Industrial Semiconductor Designs - Professor Tom Melham
https://www.turing-gateway.cam.ac.uk/sites/default/files/asset/doc/1707/Big%20Proof%20Day%20Melham%2019-07-2017.pdf #TuringSeminars
From playlist Turing Seminars
The Difference Between an Expression and an Equation
This video explains the difference between an expression and an equation. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Introduction to Linear Equations in One Variable
Debate on AI & Mind - Searle & Boden (1984)
John Searle and Margaret Boden discuss a few philosophical issues regarding artificial intelligence and the mind, including Searle's famous Chinese Room thought experiment which is an argument against the possibility that a computer could ever genuinely have a mind in the same sense that h
From playlist Philosophy of Mind
In this video we discuss how the informal set builder notation, and various expressions where it's used, translates to logical sentences. I also talk a bit about universtal and existential quantification and how this relates to various notations in formal set theory. https://en.wikipedia.
From playlist Logic
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