Full Idea
An 'effectively decidable' (or 'computable') algorithm will be step-by-small-step, with no need for intuition, or for independent sources, with no random methods, possible for a dumb computer, and terminates in finite steps.
Gist of Idea
'Effective' means simple, unintuitive, independent, controlled, dumb, and terminating
Source
Peter Smith (Intro to Gödel's Theorems [2007], 02.2)
Book Reference
Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.9
A Reaction
[a compressed paragraph]