Toward a curriculum for computer programming
- 1Principles(529w~3m)
- 2General Aspirant(218w~2m)
- 3General Beginner(158w~1m)
- 4General Requirement Analysis(52w~1m)
- 5General Mathematics(46w~1m)
- 6General Network(26w~1m)
- 7General Web(31w~1m)
- 8General Intermediate(218w~2m)
- 9General Advanced(56w~1m)
- 10Special Critical Systems(24w~1m)
- 11General Culmination: post-scarcity, spirituality, actualization, apotheosis(22w~1m)
1Principles
- 1.1What(147w~1m)
- 1.2Translators, programmers, managers, and their measurements(94w~1m)
- 1.3Overview of computer programming(290w~2m)
1.1What
- Programmers translate human desires into computer systems.
- Programmer metrics measure translation quality. An example of translation quality measurement is that of unbabel.com (its speed-effort-quality framework is also applicable to formal translations).
- The primary measurement is faithfulness/fidelity: Translate a desire into a program that does what is intended and does only what is intended.
- The secondary measurements are speed and effort.
- Some items from American Translators Association1 are also applicable:
- "Everything integral to the source text is included in the target text and nothing that is not implicitly or explicitly stated by the author is added."
- "Syntax is appropriate to the target language; the target text does not necessarily imitate the sentence structure of the source text."
- "The target text flows smoothly and does not contain awkward expressions that mark it distinctly as a translation."
- Explanation of Error Categories
- AI/ML can be thought of as a subset of computer programming (i.e. making computers do what we want).
1.2Translators, programmers, managers, and their measurements
A translator is measured by the faithfulness of translation and speed of translation?
If programmers translate human desire to computer program, then … the same measure.
Managers also translate from abstract desire to concrete implementation? Or is that directors?
Programming ability, how able they are to make machines do what they want.
A programmer may be measured in the same way we measure animal trainers, formal translators, and government legislators.
Everyone can be measured by their ability to translate their desires into reality. Everyone can be measured by their ability to manifest their desires.
1.3Overview of computer programming
<2019-12-04>
What is to program a computer?
To program a computer is to make it do what we want.
How?
We have to break down our desire in terms of what the computer knows.
What does the computer know?
An empty computer innately knows the primitive instructions built into it by the computer hardware designer.
So, how do we program a computer?
We program a computer by translating our desire into those primitive instructions.
Over time, humans have written programs for computers to help translate our desires. With programming languages, we communicate our desires to the computer. However, we have not been able to make the computer read our minds.
The computer does what we tell it to do, not what we want it to do.
You can try to program your computer right now. Open your browser's JavaScript console (in Firefox or Chrome), type "2 + 3" without quotes, press Enter, and the browser should answer "5". You have just made the computer do what you want, via your browser's JavaScript interpreter.
As you desire the computer to do more things, your programs will grow, you will suffer, you will make mistakes that harm others, and your work will be used to harm others, intentionally or not.
Of course we can program computers to do something. But the question is: should we?
Should we create Facebook, if we knew that it would cause mental problems and help political manipulation, although unintentionally?
Should we create Google, if we knew that it would cause filter bubble, bias, extremism, segregation, and help political manipulation, although unintentionally?
Sometimes yes, sometimes no. The answer is less important than your awareness of the issue: by programming computers, you are making moral decisions, even if you don't realize it.
A technology solves a problem but it also creates new problems.
2General Aspirant
- 2.1What(217w~2m)
2.1What
- Translate simple desires into programs in JavaScript in a common browser's JavaScript console (because everybody has a browser).
- Basic concepts. On the word "program" and its variants.
- Programmers model Programmees. Programmee is usually Computer. Programmers also model reality. See also file:model.html. Programmers restate or translate a model of reality to a model of programmee. Programmers create a model of a model: that is, a programmer creates the programmee's model of the programmer's model of reality.
- Programmee computes Function.
- Theory of computation: What can be computed?
- Theory of computational complexity: How fast can they be computed?
- Theory of computation: What can be computed?
- Major programmability boosts
- Code-As-Data, Stored-Program Computers.
- Code-as-data and Lisp, in hindsight?
- Integrated circuits and miniaturization: Smaller, cheaper, and faster; Moore's observation
- Time-sharing, multi-processing, concurrency, parallelism.
- Personal Computer: People used to wait for their turn to use computers. Now everyone has computers at home.
- Programming languages
- On parsing formal languages
- Programming languages? (A mess.)
- Semantics Research Group (of programming languages) (needs rewrite, should be merged)
- Programming?
- Dead ends, futile endeavors
- Towards software science
- Towards a philosophy of software
- Towards software engineering
- <2019-11-07> I have tried and failed to define "software". I will write "program" instead.
- Needs rewrite
- Dead ends, futile endeavors
- Programming big systems, helping machines help us
- On the word "secure" (see also file:power.html).
- Borderline crackpot territory
- Morality, ethics, politics
- Servers, centralization, oppression, inequality
- Insanely Generous Investors and money laundering?
- Programmers get paid insane salaries, but companies still have bigger profits. That means companies are extracting even bigger values.
- Morality, ethics, politics
3General Beginner
- Understand modeling (abstraction).
- Understand simplifying assumptions.
- Understand when models break down.
- Understand layers of abstraction.
- Understand that troubleshooting often digging down through layers of abstraction.
- Understand that even though one may not know the lower layers, one must know that he does not know the lower layers.
- Translate simple desires into programs in these languages: Assembly, C, Scheme, Haskell, Prolog.
- Understand the abstraction from computer programs down to electronic logic gates.
- Prove the correctness of simple programs, but be aware that "correctness" is relative to a model; there is no absolute correctness; there is no correctness in reality.
- Read/maintain/change programs.
- Understand evaluation order.
- Understand normal-order and applicative-order lambda-calculus reduction strategies.
- Programming without caring about time/ordering/sequentiality.
- Understand hard (NP-complete) problems, and understand whether to give up, to approximate, or to do something else.
- Use Git.
- Know what you are doing. Manipulate code in well-defined steps/operations, not haphazardly.
- Create a function with simplifying assumptions.
- Relax a simplifying assumption.
- Understand some philosophical jargon, especially epistemology and ontology.
- Understand accidental complexity and essential complexity.
- 3.1Testing(7w~1m)
3.1Testing
- Test functions.
- Test programs.
- Test systems.
- Property-based testing with QuickCheck.
- Fuzzing.
4General Requirement Analysis
- Understand analytical philosophy: how to define terms.
- Understand how to use a language, a dictionary, an etymology dictionary, and a thesaurus.
- Translate what is meant, not only what is said. Translate the intention, not the utterance.
- Uncover implicit/hidden desires (non-functional requirements).
- Uncover some probable hidden future desires.
- Ask/clarify/confirm back in the dialog with the client.
5General Mathematics
- Understand that mathematical notation is a shorthand for natural languages such as English.
- Read mathematical notation in a natural language such as English. For example, read "\( x + 1 = 2 \)" as "there is something called '\(x\)' such that \(x\) plus one equals two.".
6General Network
- Understand Ethernet.
- Understand Wi-Fi.
- Understand electromagnetism.
- Understand how materials reflect electromagnetic waves, for various wavelengths/frequencies.
- Understand the Internet Protocol stack.
- Understand the OSI 7-layer model and the Internet 5-layer model.
7General Web
- Understand HTML and CSS.
- Understand basic HTTP.
- Understand that client–server separation introduces accidental complexity that can be hidden with model-driven architecture.
- Apply the Request–Response / Command–Response abstraction to command-line applications and web applications.
8General Intermediate
- Translate simple desires into programs in these languages: C++, Java, Kotlin, Go.
- Translate complex desires into systems in these languages: Common Lisp, Scheme, Racket.
- Design application programming interfaces (APIs).
- Understand backward-compatibility.
- Formalize requirements.
- Begin by designing the data model or the ontology of the information system being built.
- Interoperate several programming language implementations.
- van Roy & Haridi: alternative semantics https://www.info.ucl.ac.be/~pvr/book.html
- Understand performance.
- Have a mental model of resource usage (time complexity).
- Understand practical benchmarking.
- Understand performance measurement, CPU profiling, memory profiling, disk profiling.
- Find bottlenecks.
- Predict bottlenecks.
- Understand some queuing theory.
- Design systems according to expected number of users and expected lifetime.
- Understand deductive databases.
- Understand Prolog, backward chaining, SLDNF resolution, how Kowalski relates sequence of procedure calls and conjunction of Horn clauses.
- Understand Datalog, forward chaining.
- Understand SQL databases as almost-deductive databases.
- Understand the relationship between relation (extension) and predicate (intension).
- Understand that standard SQL cannot compute transitive closure.
- I decided not to mainly use Prolog because Prolog lacks these things that would help maintaining large programs: scoping (local variable), anonymous (first-class) modules. However, I may decide to embed Prolog; For databases, I love Prolog/Datalog much more than I like SQL.
- 8.1Algebraic modeling(48w~1m)
8.1Algebraic modeling
- Model some systems algebraically.
- Come up with a set.
- Come up with a closed operation on that set.
- Example: shape algebra:
- constructors
- circle : Radius -> Shape
- square : Side -> Shape
- algebraic operations
- juxtapose : Shape -> Shape -> Shape
- on : Shape -> Shape -> Shape
- combinators
- translate : DX -> DY -> Shape -> Shape
- constructors
9General Advanced
- Decompose systems such that the difficulty of a change is proportional to the change's probability.
- Automate the translation of desires. Model-driven development. Make computers help translate desires. Teach computer how to reason.
- Design a programming language, probably domain-specific, beginning from the language's semantics.
- Make interpreters.
- Make compilers.
- Trade-offs, constraints.
- Program humans and machines.
- Program human–machine hybrid systems (which is all practical systems).
10Special Critical Systems
- It is OK to be disiniterested in this; few people like this.
- https://en.wikipedia.org/wiki/Critical_system
- Program computers without assuming that hardware is 100% reliable.
- Define failure modes.
11General Culmination: post-scarcity, spirituality, actualization, apotheosis
- Make things with love, for beauty and simplicity, because we want to, not because we have to.
<2020-01-20>↩