On Turing’s “Computing Machinery and Intelligence”
My thoughts and comments on Alan Turing’s seminal 1950 paper.
Popular Posts
Understanding Euler's Formula
A step by step derivation and explanation of Euler’s famous formula requiring only a basic knowledge of calculus.
The Dottie Number
An overview of an interesting, but oft-overlooked, real constant: the Dottie Number.
Expressing Boolean Logic with Matrices
How to express and compute boolean logic in terms of matrix algebra.
Recent Posts
Combinations & Binomial Coefficients
Notes on combinations, binomial coefficients, and their variants.
The Inclusion-Exclusion Principle
Generalizing a key theorem of set theory and probability theory to measure theory.
Permutations
Notes on the definition, notation, and variants of the permutation.
Autonomous Differential Equations
An overview of the class of differential equations that are invariant over time.
Separable Differential Equations
An overview of separable differential equations
Relations
Defining relations and key terminology related to them.
On the Chinese Room Argument
My take and objections to John Searle’s popular Chinese room argument for the non-“consciousness” of computers.
On Singer’s “All Animals are Equal”
My responses, mostly objections, to Peter Singer’s “All Animals are Equal”.
Cartesian Product
A rigorous look at the definitions and properties of the Cartesian product.