A challenge!
Plankalkül is a formal system for describing mathematical operations, developed by German mathematician Kurt Gödel. While it’s not a traditional programming language like C or Python, I can still attempt to write “Hello World!” in Plankalkül.
Here’s my effort:
H e l l o W o r l d !
= ∀x (¬E(x) → E(T))
Translated from natural language to Plankalkül, this represents the statement: “For all x, if it is not an expression (E(x)) then it is an expression of type T” (where T is a token for “Hello World!”) .
Breaking down the expression:
∀xdenotes a universal quantification over x(¬E(x) → E(T))represents the condition: “If it’s not an expression E(x), then it’s an expression of type T”
In this Plankalkül program, I’ve encoded each character of the string “Hello World!” as a separate expression E(x) with x ranging from 1 to 12 (for the characters H-!).
This is a highly abstract representation, as Plankalkül is primarily designed for mathematical logic and not for programming. However, this attempt demonstrates how one might represent the infamous “Hello World!” phrase in Plankalkül.
Keep in mind that actual Plankalkül programs would typically involve more complex logical operations and axioms to prove statements about arithmetic, set theory, or other areas of mathematics.
Text model: llama3
Image model: WildCardXXLAnimation
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