c urmudgeon
Continued from page 72
tautologically, just the ones that caused harm? And harm
to whom? We can read beyond the title that Dijkstra is
carefully “hedging his bets.” No computer is worth its
chips without a branch-on-negative operator. So, it’s
not so much the “going-to” another distant part of your
program that’s harmful, it’s how to write readable control
jumps in higher-level languages. GOTO-less programming
means cleaner, structured code; GOTO-full programs were
messy and hard to maintain, producing what the critics
called spaghetti code, an insult to all pasta lovers. 4
Many language theologians defend the compound
GOTO known as the CASE statement. I go further by
claiming God’s approval. No peer review can be peerer!
Nature’s own Grand Unified Law is but a set of better-than-realtime nested CASE statements. I’ve seen the listings. Alas, I was allowed the skimpiest walk-through, and
that only after signing a terrifying nondisclosure thingy
of Faustian proportions. Dare I risk revealing the gist?
Well, just entre nous. Note that God uses C++ (no surprise
there, Bjarne):
#include <DixieDean.h> // divine headers, q.g. [quod
google]
T = -tPlanck; // start clock just ahead of time
switch BigBang {
case 0: wait (tPlanck); t-break; ...
case 1: switch word {
...
case googol^googol: { ... }
...
As far as I could check with HyperLint, every eventuality seems to be covered without a single exception
throw needed. Readers reading this on April 1 are warned
that I’m aware that I seem to be presenting a discredited,
deterministic, discretely countable universe. Not necessarily. The symbols 0, 1, and googol are not to be interpreted
by human C++ standards. God gave us the integers, and
God can override the integers.
Dijkstra, “spreading his bets,” suggests another helpful idiom, leading to game theory and risk analysis. For
here we reach real life as it is lived by the vast majority of
my readers. A moment of truth approaches, demanding
honest introspection. If your beliefs have no discernible
impact on your behavior, can we really believe the sincerity of your belief-claims? Russell was fond of testing someone’s belief that it was going to rain. Did that someone
stay indoors or venture out without her brolly? Sooner or
later, balances must be balanced, weights weighed, decisions made, bets placed, acts enacted. But how to pick the
best (or least-worst) hypothesis?
Occam’s razor just shaves off a few baby-hairs from
rival hypotheses. Solomon’s sword divides the whole
baby, offering each mother an evenly balanced slice. But
hurry before someone empties the baby with the bath-water. (Philosophers love these confusing homely
parables.) We nod knowingly over the Biblical tale,
admiring Solomon’s wisdom in identifying the biological
mother. Don Watson applies modern jurisprudence to the
case with telling results (“Solomon Reversed on Appeal”) 5,
while I’m inclined to ponder the outcome if the mothers
had been equally versed in game theory brinkmanship.
Calling them Mrs. A and Mrs. B, we must assume that
each sincerely believes in her claimed maternal relationship. Each must weigh the credibility of Solomon’s
threat to cleave the babe in twain. And each must assign
values to the possible outcomes: one mother winning full
custody or neither; both gaining gruesome half-custody,
which can be taken as at least denying the rival mother
custody. Twisting the aphorism, “It’s not enough to succeed, others must fail,” we reach this: “It’s not so bad
losing as long as others do not win.” Jim Waldo’s courage
is in great demand.
In our own fair trade, extreme, opinionated, backbiting positions are taken on the most fundamental
issues, such as “What is or are data, and how should it or
they be processed?” As that curmudgeon’s curmudgeon,
Arthur Schopenhauer, meant to say, “Opinions are like
bums, everybody’s got one.” 6
Even from our 60 glorious ACM years of relatively
polite ruminations, the rumble of language and operat-ing-system religious wars breaks through. Open Software’s
Open Wounds? Methodological Madness? The Association of Computing Machinations? And up for grabs on
the ground floor (awaiting the $1 million P = NP Clay
Institute Prize): Completely Unprovable Incompleteness?
As we quipped in the FastRandy Univac days, “I hear the
sound of distant drums!” But let’s not exaggerate.
FROM BOOLE TO BOOTLE
It’s hard, not to say pointless, to formalize this balance
of extremes. But Booles rush in. 7 Extending my great,
grand (meaning famously renowned) Great-Grand-Uncle
George’s binary logic, we have the SKB-quasi-continu-ous-ternary system with +N (true), -N (false), iN (
meaningless). Here, N is an integer >= 0 intended, somehow,
to indicate plausibility or evidential-support; i is either