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2014/12/06

The Illogic of Contradiction

"One cannot say of something that it is and that it is not in the same respect and at the same time." Follow us on Twitter Like us on Facebook
Saturday, December 6, 2014 | Issue #140
Joel Bowman, somewhere over South America, en route to the U.S. of A...

No time for meandering preambles today, dear reader. We've got a flight to catch and, as usual, we're running late...

Today's feature essay, below, actually first appeared on the Interweb a couple of years ago. We penned it for our friends over at Classical Wisdom Weekly, a publication dedicated to the preservation and promotion of classical texts and the invaluable lessons contained therein.

At the time the essay first went to print, Classical Wisdom Weekly was still a fledgling project (after all, not everyone has the time to read ancient Greek and Latin literature... though they somehow still find time for reality TV and celebrity mud-wrestling... go figure).

Fast forward to today, and CCW fans now number in the many tens of thousands (check 'em out here)... and its project is going from strength to strength.

In fact, it recently reopened membership to its Classical Wisdom Society... a kind of "virtual Agora," where inquiring minds can feast on a cornucopia of classical literature and insight. It's the kind of stuff you don't find covered on the mainstream news or in trashy magazines... but that is every bit as important as Bieber's newest hairdo or Miley's latest dance move...

If you'd like to learn more about the Society, might we suggest doing so here... its membership closes in 10 days' time, and it's unlikely you'll see us mention it again during that period. (Last chance, in other words.)

And so, to commemorate the (temporary) reopening of its Society, we thought we'd resurrect this essay and share it with you today. It's a bit of a departure from our usual beat, but we hope you like it anyway. Please enjoy...

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The Illogic of Contradiction

By Joel Bowman


Don't tell the politicians, neither on the left, nor on the right. In the non-trivial jurisdiction of the metaphysical, there's simply no such thing as a contradiction. At least, not for Aristotle. The Father of Logic even went so far as to propose a law (more about which below) expressly forbidding it. But first, let us take a step back in order to afford ourselves a wider, grander view of the "world" of metaphysics.

We might begin our inquiry in the following manner: What is metaphysics and what is it like? Indeed, one would be hard-pressed to conduct even the crudest analysis of anything without the service of these two basic questions.

And, in a way, it is precisely these questions which metaphysics itself seeks to answer... what is there? (what exists, the fundamental nature of the world and of being) and what is it like? (the characteristics that help us to describe these very natures).

Although the prefix "meta" actually means "beyond" (leading many scholars to misinterpret its meaning as the study of what is "outside of" or "beyond" nature), Aristotle himself used the term to describe what he saw as the "first philosophy." For him, it was physics, then the basic questioning of and about them: metaphysics.

The subject, to which Aristotle referred as the "Queen of the Sciences" was, and in many respects still is, the primary means by which we delve into both the existence and essence of all that is.

Kindly, and with the fastidious scientific exactitude for which he was known, Aristotle divided the study of metaphysics into three distinct (at least they remained so at the time) categories. They were:
  1. The Universal Science - The study of first principles, the very method of inquiry itself and the correct procedure by which it would be illuminated
  1. The Ontological - The study and (again, meticulous) classification of beings and entities, including those of both physical and mental nature, and the changes these beings and entities undergo
  1. The Study of Natural Theology - All things germane to religion, creation, the divine and the endless and, perhaps, ultimately unknowable workings and motivations of the gods.

Having not ourselves confidently progressed past the first of the first (of the first...) of these principles, we shall confine our comments to that of The Universal Science category. By way of introduction, let us examine Aristotle's three Laws of Thought, the basis of what is often called "Term" (or "Aristotelian") Logic.

In the first such law, Aristotle gets what ought to be obvious out of the way with the Law of Identity (A = A). Of course, the question "why is an apple an apple?" is, in itself, meaningless. By being an apple, it cannot, logically, be something other than such.

That a something is what it is - and not something else - ought to be apparent from the outset, says Aristotle. "The fact that a thing is itself is the single reason and the single cause to be given in answer to all such questions as why the man is man, or the musician musical."

The second rule, as we've discussed, is the Law of Non-Contradiction, which holds that opposing statements cannot be both true in the same sense and at the same time. E.g. the claims "X = Y" and "X ≠ Y" are mutually exclusive.

Indeed, Aristotle himself reasons, "One cannot say of something that it is and that it is not in the same respect and at the same time."

Complement to this second law of thought is Aristotle's Law of Excluded Middle. Here the mighty inquirer sets out to eliminate compromise - at least in the metaphysical sense of the word. Simply put, something must either be... or not. A proposition is true, in other words, or its negation is.

Of course, it may be the case that a fleck of ambiguity of terms muddies the waters. This is not the point, however, but rather an underscoring of why precise definitions matter from the outset.

Aristotle, here from Metaphysics:

    It is impossible, then, that "being a man" should mean precisely "not being a man," if "man" not only signifies something about one subject but also has one significance....

    [It] will not be possible to be and not to be the same thing, except in virtue of an ambiguity, just as if one whom we call "man," and others were to call "not-man"; but the point in question is not this, whether the same thing can at the same time be and not be a man in name, but whether it can be in fact.

And from the sturdy moorings of these three Laws of Thought, Aristotle sets off into the oceanic philosophical undertaking ahead of him.

What is? he wonders, and what is it like?

We can't say for sure why the Greeks took it upon themselves to embark on such a formidably exhaustive examination of all things under - and including - the gods, but we are certainly glad they did so. Without Aristotle's Heraclesian efforts in paving the way in this, the first of all philosophies, we wouldn't have had the opportunity to be so very confused by the subsequent minds who have tackled the subject.

Indeed, the ever-insightful Voltaire put it thus: "When he to whom one speaks does not understand, and he who speaks himself does not understand, that is metaphysics."

But again, dear reader, we must do all we can to keep these historical insights from our politicians and their mischievous ilk, lest we deny ourselves their incessant pursuits of circular logic and self-contradiction. If such public figures begin to make sense - any sense at all - they will surely lose all comedic value.

And who will make the gods laugh then?

Cheers,

Joel Bowman
for Free Market Café
Follow Joel on Twitter @JoelBowman

P.S. As mentioned above, our dear friends at Classical Wisdom Weekly have just reopened their Classical Wisdom Society... a "virtual Agora" of ideas, philosophy, history, art, theatre, literature... all that good stuff.

The Society - complete with book club, newsletters, a digital members-only forum and more - offers a wealth of information about the classic texts that helped shape our worldview. Inside, you'll uncover the time-honored insights of Aristotle and Seneca, the histories of Herodutus and Thucydidies and the genius of playwrights Sophocles, Euripides and the rest.

It truly is something for the modern Renaissance person.

For the next 10 days only, they're accepting membership applications... then they'll close it down again until sometime later next year. If you think the Classical Wisdom Society sounds like something you'd enjoy, check out the details here:

The Greatest Philosophers All Knew the Answer to This One Question... Do You?

P.P.S. Our friends at Classical Wisdom Weekly have also figured out a way you can gift a membership to the Society to someone else. So, for that somebody-who-has-everything in your life (you can picture their face right now...), a membership to the Classical Wisdom Society is the perfect gift. Learn more here.


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