- Category Theory
- Set Theory
-
Linear Algebra
-
Linear Algebra by Jim Hefferon
- http://joshua.smcvt.edu/linearalgebra/book.pdf
- https://sites.google.com/site/77neuronsprojectperelman/weeks/week-5
-
Week 33 - Linear Algebra - 1.1-1.2
- 77neurons - Project Perelman - a math project by Jad Nohra and Tom Lahore
-
Calculus
- Week 01 (Calculus)
- Functional Programming
- Mathematical Logic
- Formal languages
-
Alphabet
- defines what symbols can be used to form terms, formulae and finally also deductions
-
Strings
- candidates for meaningful entities,
-
Rules
- the grammar of a natural language
- determine which of the candidates qualify as such
- Words
- Sentences
- Terms
- Formulae
-
finite sequence
- satisfying certain conditions
- Proof
- First-Order languages with equality
- Second Order
- Higher Order
- a
- b
- c
- ...
- a'
- b'
- c'
- ...'
- object that is a collection of objects
that stand for first-order values
- Symbols
-
A Gentle Introduction to Category Theory
- Introduction to Mathematical Logic
- A Concise Introduction
to Mathematical Logic
- Haskell