It is clear by now that the old Averroist doctrine of

__the “double truth”__(*veritas duplex*) must be revived: this time, not along scientific-vs-theological lines, but political. Radio talk-shows have long recognized the incommunicability of one set of truths, to partisans of the other, by offering separate Republican vs. Democrat call-in lines.
So, let us consider that simplest possible area of human
belief and inquiry:

**arithmetic**, the discipline that offers up such hoary verities as “2 + 2 = 4”.
In modern mathematics, the study of such numbers (called

*integers*) has exfoliated quite a bit, and indeed has bifurcated into named subdisciplines. Thus we have, on the one hand,**, which deals with such things as the**__analytic number-theory____Riemann hypothesis__and the Goldbach conjecture, using techniques from complex analysis, and on the other,**, involving extensions of the integers such as algebraic number-fields. Both subfields have developed to such an extent, that specialists in the one will be scarcely able to understand, let alone prove, theorems in the other; thus reproducing, unintentionally, a simulacrum of the current partisan Dialogue of the Deaf.**__algebraic number-theory__
And now we have two new entrants to the disciplinary
matrix:

**Democratic number-theory**and**Republican number-theory**.**Democratic number-theory**is characterized (up to isomorphism) by its claim that all numbers are equal. The denial of that doctrine is termed ‘fascism’.

**Republican number-theory**, by contrast, generalizes the ancient concept of a

*perfect*number (equal to its aliquot sum) to that of the

*awesome*numbers, which are greater than the sum of everybody else. The leftovers are called the

*pathetic*numbers (also termed ‘losers’). This theory focuses exclusively on the former subset (although the membership in this set can vary capriciously from day to day).

So far, neither body of theory has produced interesting
theorems.

[Update 8 Jan 2018] No sooner had I posted that would-be satirical
thought-dream, than I happened upon this,
by the philosopher Stewart Shapiro:

Hartry Field takes mathematical
language at face value. Since he
holds that mathematical objects do not exist, mathematical propositions have
objective but

*vacuous*truth-values. For example, he maintains that ‘all natural numbers are prime’ is true, since there are no natural numbers.
--

__Thinking about Mathematics__(2000), p. 226
So once again, reality beggars satire. (Apparently this Field fellow is some
sort of an academic, rather than an inmate or homeless-person.)

Note, a propos, that the Fieldian assertion “all natural
numbers are prime” is actually an

*axiom*of Democratic number-theory. (“Everybody gets a trophy. Everyone is special.”)
[Historical footnote] If satire is the production of humor by clever
exaggeration of a real situation, then here again the satire lacks its
bite: for such ideologically
infected strains of the hard sciences
are already exemplified in history -- not merely in the musings of
philosophical fantasists, but under dictators with the power of life or death. Thus Hitlerian notions of Aryan
science vs. Jewish science, or the various scientific orthodoxies under
Stalin. Under those two
regimes,

*mathematics*, fortunately, was relatively spared distortions of actual*content*(so long as the formulaic obeissances to ideology were packed into the preface), though in human terms there were profound and pernicious effects on who was allowed to be mathematical*practitioners*. The neo-Stalinoid zealots of “anti-racist mathematics” go further, prescribing severe limits to content and presentation as well.
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