116 lines
3.8 KiB
TeX
116 lines
3.8 KiB
TeX
%!TEX TS-program = xelatex
|
|
%!TEX encoding = UTF-8 Unicode
|
|
% Lxsameer's CV Latex class
|
|
% Copyright (C) 2022 Sameer Rahmani <lxsameer@gnu.org>
|
|
%
|
|
% This program is free software; you can redistribute it and/or
|
|
% modify it under the terms of the GNU General Public License
|
|
% as published by the Free Software Foundation; either version 2
|
|
% of the License, or (at your option) any later version.
|
|
%
|
|
% This program is distributed in the hope that it will be useful,
|
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
% GNU General Public License for more details.
|
|
%
|
|
% You should have received a copy of the GNU General Public License
|
|
% along with this program; if not, write to the Free Software
|
|
% Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
|
|
\documentclass{lxpresent}
|
|
|
|
\date{\today}
|
|
\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 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 Even other engineers and scientists
|
|
\end{itemize}
|
|
\end{itemize}
|
|
\end{frame}
|
|
|
|
\begin{frame}{What was the tweet all about?}{}
|
|
|
|
\end{frame}
|
|
|
|
\begin{frame}{Why do we have to start frome 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
|
|
\end{itemize}
|
|
|
|
\end{frame}
|
|
|
|
\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
|
|
|
|
\end{itemize}
|
|
\end{frame}
|
|
|
|
\begin{frame}{Musical notation}{}
|
|
\centering
|
|
Any one who speaks the language of musical notations understands this sheet
|
|
\begin{figure}
|
|
\centering
|
|
\pic{ep2/music_score.png}
|
|
\end{figure}
|
|
\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
|
|
\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 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}
|
|
|
|
\end{frame}
|
|
|
|
|
|
\begin{frame}{What are those statement all about?}{}
|
|
\begin{itemize}
|
|
\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
|
|
\begin{itemize}
|
|
\item Mathematicians want to make their reasoning as general as possible
|
|
\item But math users usually want special cases
|
|
\end{itemize}
|
|
\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:
|
|
\begin{itemize}
|
|
\item Comment section on \href{https://youtube.com/c/lxsameer}{youtube}
|
|
\item \href{https://lxsameer.com}{https://lxsameer.com}
|
|
\end{itemize}
|
|
\end{frame}
|
|
\end{document}
|