The Philosopher's Toolkit. Julian Baggini

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example

      At its most flagrant, inconsistency is obvious. If I say, ‘All murder is wrong’ and ‘That particular murder was right’, I am clearly being inconsistent, because the second assertion is clearly contrary to the first. (One might be false, both might be false, but both can’t be true.) On a more general level, it would be a bald contradiction to assert both that ‘all murder is wrong’ and ‘not all murder is wrong’. (One must be true and the other false.)

      But sometimes inconsistency is difficult to determine. Apparent inconsistency may actually mask a deeper consistency – and vice versa.

      Many people, for example, agree that it is wrong to kill innocent human beings. And many of those same people also agree that abortion is morally acceptable. One argument against abortion is based on the claim that these two beliefs are inconsistent. That is, critics claim that it is inconsistent to hold both that ‘It is wrong to kill innocent human beings’ and that ‘It is permissible to destroy living human embryos and fetuses’.

      Exceptions to the rule?

      But is inconsistency always undesirable? Some people are tempted to say it is not. To support their case, they present examples of statements that intuitively seem perfectly acceptable yet seem to meet the definition of inconsistency. One example might be:

      It is raining, and it is not raining.

      Of course, the inconsistency might be only apparent. What one may actually be saying is not that it’s raining and not raining, but rather that it’s neither properly raining nor not raining, since there is a third possibility – perhaps that it is drizzling, or intermittently raining – and that this other, fuzzy possibility most accurately describes the current situation (3.1).

      What makes the inconsistency only apparent in this example is that the speaker is shifting the sense of the terms being employed. Another way of saying the first sentence, then, is that, ‘In one sense it is raining, but in another sense of the word it is not’. For the clauses composing this sentence to be truly inconsistent, the relevant terms being used must retain precisely the same meaning throughout. But, when you do unearth a genuine logical inconsistency, you’ve accomplished a lot, for it can be very difficult if not impossible to defend the inconsistency without rejecting rationality outright. There are poetic, religious, and philosophical contexts, however, in which this is precisely what people find it proper to do.

      Poetic, religious, or philosophical inconsistency?

      That kind of difficulty, however, may extend farther than religious contexts. Atheist existentialist philosopher Albert Camus (1913–60) maintained that there is something fundamentally ‘absurd’ (perhaps inconsistent?) about human existence. Post‐structuralist philosopher Jacques Derrida’s theory of différance raises metaphysical questions about the consistency of reality (6.2). Philosophical fiction and poetry may enlist rhetorical strategies involving inconsistency (7.4). Dialetheists and others have even challenged the idea that consistency is fundamental to logic (3.10). Perhaps, then, Emerson was right, and there are contexts in which inconsistency and absurdity paradoxically make sense.

      Consistency ≠ truth

      Be this as it may, inconsistency in philosophy is generally a serious vice. Does it follow from this that consistency is philosophy’s highest virtue? Not quite. Consistency is only a minimal condition of acceptability for a philosophical position. Since it’s often the case that one can hold a consistent theory that is inconsistent with another, equally consistent theory, the internal consistency of any particular theory is no guarantee of its truth. Indeed, as French philosopher‐physicist Pierre Maurice Marie Duhem (1861–1916) and the American philosopher Willard Van Orman Quine (1908–2000) have separately maintained, it may be possible to develop two or more theories that are (1) internally consistent, yet (2) inconsistent with each other, and also (3) perfectly consistent with all the data we can possibly muster to determine the truth or falsehood of the theories (7.11).

      SEE ALSO

      1 1.12 Tautologies, self‐contradictions, and the law of non‐contradiction

      2 2.1 Abduction

      3 3.10 Contradiction/contrariety

      4 7.2 Gödel and incompleteness

      5 7.6 Paradoxes

      READING

       David Hilbert (1899). Grundlagen der Geometrie

       * P.F. Strawson (1952/2011). Introduction to Logical Theory

       * Fred R. Berger (1977). Studying Deductive Logic

       * Julian Baggini and J. Stangroom (2006). Do You Think What You Think You Think?

       * Aladdin M. Yaqub (2013). Introduction to Logical Theory

      The notion of ‘fallacy’ will be an important instrument to draw from your toolkit, for philosophy often depends upon identifying poor reasoning, and a fallacy is nothing other than an instance of poor reasoning – a faulty inference. Since every invalid argument involves a faulty inference, a great deal of what one needs to know about fallacies has already been covered in the entry on invalidity (1.5). But while all invalid arguments are fallacious, not all fallacies involve invalid arguments. Invalid arguments are faulty because of flaws in their form or structure. Sometimes, however, reasoning goes awry for reasons not of form but of content.

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