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ep2: Add a picture of the tweet

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Sameer Rahmani 2022-12-02 21:32:12 +00:00
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commit a1f6581d9a
4 changed files with 54 additions and 39 deletions
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30
ep1.tex
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@ -28,7 +28,7 @@
\maketitle
\begin{frame}{So far\ldots}{}
\begin{itemize}
\item In the first season we created a super simple compiler
\item In the first season, we created a super simple compiler
\item We learned about the basics of LLVM and MLIR
\item We created a basic platform to develop a programming language, that includes:
\begin{itemize}
@ -38,7 +38,7 @@
\item and few other bits and pieces
\end{itemize}
\item BUT we didn't come up with a specification for \href{https://serene-lang.org}{Serene}
\item We didn't design the language yet
\item We didn't design the language, yet
\item That's what we're going to do in this series
\end{itemize}
\end{frame}
@ -47,7 +47,7 @@
\begin{itemize}
\item Not all the programming langs have specification
\item A spec or standard brings clarity for users and developers
\item We could've just implement an already exist spec like \href{http://www.r6rs.org/}{R6RS} (Scheme)
\item We could've just implemented an already exist spec like \href{http://www.r6rs.org/}{R6RS} (Scheme)
\item Or just create a language based on our intuition (many languages have done this)
\item Or design a standard from scratch \\
We can use about 100 years of Mathematics and Computer Science to our benefit
@ -56,9 +56,9 @@
\begin{frame}{Where to look?}
\begin{itemize}
\item Based on the past experience we have some initial idea on where to look
\item Later on we will find out whether or not our initial ideas were good
\item For example
\item Based on the experience, we have some initial idea on where to look
\item Later on, we will find out whether our initial ideas were good
\item For example,
\begin{itemize}
\item I prefer functional programming
\item Dynamic type systems
@ -77,14 +77,14 @@
\item Proof theory
\end{itemize}
\item They all describe the same world from different perspectives
\item Also, there are few papers that we need to look at, like the lisp paper
\item Furthermore, there are few papers that we need to look at, like the lisp paper
\end{itemize}
\end{frame}
\begin{frame}{Required tools}
\begin{itemize}
\item We need build up few mathematical skills
\item E.g We need to learn:
\item We need to build up few mathematical skills
\item E.g. We have to learn:
\begin{itemize}
\item Logic
\item Set theory
@ -95,32 +95,32 @@
\begin{frame}{The Plan}{}
\begin{itemize}
\item I like this series to be self contained as much as possible
\item I like this series to be self-contained as much as possible
\item We're going to start from basics
\item We will cover
\begin{itemize}
\item What is mathematics? and why do we need it?
\item What is mathematics? And why do we need it?
\item Mathematical thinking
\item Discrete mathematics
\item $\lambda$-calculus
\item Type theory
\item and the rest
\end{itemize}
\item We will study the history of computer science an mathematics as well
\item We will study the history of computer science and mathematics as well.
\item History is a great guide
\end{itemize}
\end{frame}
\begin{frame}{Disclaimer}{}
\begin{itemize}
\item I'm not a professional mathematician
\item I'm just sharing the result of my research and things that I learn. Take it with a grain of salt
\item I'm not a professional mathematician.
\item I'm just sharing the result of my research and things that I learn. Take it with a grain of salt.
\item ``Nullius in verba''
\end{itemize}
\end{frame}
\begin{frame}{Contact}{}
Please shared your thoughts and ideas or researches and papers that you want me to have a look at via:
Please, share your thoughts and ideas or researches and papers that you want me to have a look at via:
\begin{itemize}
\item Comment section on \href{https://youtube.com/c/lxsameer}{youtube}
\item \href{https://lxsameer.com}{https://lxsameer.com}

59
ep2.tex
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@ -23,32 +23,35 @@
\title{Mathematics of Programming Languages}
\setep{02}{What is Mathematics?}
\begin{document}
\maketitle
\begin{frame}{Why did I choose to make this?}{}
\begin{itemize}
\item Originally I just wanted to start from logic
\item Originally, I just wanted to start from logic
\item I read a tweet which made me think not everyone knows what math really is
\item I started to ask around online and even on the street
\begin{itemize}
\item To my surprise majority of people got it wrong too
\item To my surprise, the majority of people got it wrong too
\item Even other engineers and scientists
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}{What was the tweet all about?}{}
\begin{figure}
\centering
\pic{ep2/tweet.png}{0.4}
\end{figure}
\end{frame}
\begin{frame}{Why do we have to start frome here?}{}
\begin{frame}{Why do we have to start from here?}{}
\begin{itemize}
\item Understanding Mathematics helps us to think better
\item To asking the right question
\item There's no consensus on the definition of mathematics but I'll give you mine
\item My goal is to get you think
\item There's no consensus on the definition of mathematics, but I'll give you mine
\item My goal is to get you to think
\end{itemize}
\end{frame}
@ -56,34 +59,43 @@
\begin{frame}{So, What is mathematics?}{}
\begin{itemize}
\item ``Mathematics is the language in which God has written the universe''
\item To put it simply Mathematics is a language with specific set of properties
\item Usually a language enables us to express something
\item For example musical notation is language to express music
\item To put it simply, Mathematics is a language with a specific set of properties
\item Usually, a language enables us to express something
\item For example, musical notation is the language to express music
\end{itemize}
\end{frame}
\begin{frame}{Musical notation}{}
\begin{frame}{Language of Music}{}
\centering
Any one who speaks the language of musical notations understands this sheet
Anyone who speaks the language of musical notations understands this sheet
\begin{figure}
\centering
\pic{ep2/music_score.png}
\pic{ep2/music_score.png}{0.65}
Maths is the same, I can express my thoughts about something in terms of mathematics
\end{figure}
\end{frame}
\begin{frame}{Maths the Framework}{}
\begin{itemize}
\item One can produce nonsense in Maths as well
\item But maths provides a framework that eliminates nonsense, errors and ambiguity
\item Mathematics is a precise language
\end{itemize}
\end{frame}
\begin{frame}{Not just a language}{}
\begin{itemize}
\item But it's not just a language, it's a language + reasoning, it's a tool for reasoning
\item It's big collection of some people careful thoughts
\item In form of provable statements
\item It's not just a language, it's a language + reasoning, it's a tool for reasoning
\item It's a big collection of some people's careful thoughts
\item In form of provable and precise statements
\end{itemize}
\end{frame}
\begin{frame}{So, What is mathematics?}{}
\begin{itemize}
\item By Mathematics it is possible to connect one statement to others.
\item By Mathematics, it is possible to connect one statement to others.
\item Mathematics is a way of going from one set of statements to another via reason.
\item It's an interconnected web, how an idea in one field drives you to others
\end{itemize}
@ -91,12 +103,13 @@
\end{frame}
\begin{frame}{What are those statement all about?}{}
\begin{frame}{What are those statements all about?}{}
\begin{itemize}
\item Humans are pattern recognizing machines (We will talk about it more in the episode)
\item Humans are pattern recognizing machines. (We will talk about it more in the episode)
\item Mathematics is all about generalizing those patterns via abstractions
\item Usually there are more than one way to describe the same thing
\item different between doing math and usign math
\item And study the relations between those abstractions
\item Usually, there are more than one way to describe the same thing
\item different between doing math and using math
\begin{itemize}
\item Mathematicians want to make their reasoning as general as possible
\item But math users usually want special cases
@ -104,9 +117,11 @@
\end{itemize}
\end{frame}
\begin{frame}{}
\end{frame}
\begin{frame}{Contact}{}
Please shared your thoughts and ideas or researches and papers that you want me to have a look at via:
Please, share your thoughts and ideas or researches and papers that you want me to have a look at via:
\begin{itemize}
\item Comment section on \href{https://youtube.com/c/lxsameer}{youtube}
\item \href{https://lxsameer.com}{https://lxsameer.com}

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4
lxpresent.cls
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@ -112,5 +112,5 @@
\defbeamertemplate*{itemize subsubitem}{mysymbol}{\footnotesize\raise0.5pt\hbox{\mysymbol}}
\newcommand{\pic}[1]{
\includegraphics[width=0.7\textwidth]{#1}}
\newcommand{\pic}[2]{
\includegraphics[width=#2\textwidth]{#1}}