Coherence and Semantic Theories of Truth

The coherence theory of truth states that a proposition is true if it is one amongst a set of coherent beliefs. As a necessary condition which must be satisfied in order for a philosophical system to be sound, the test of coherence – or to be more precise, consistency – amongst the pertinent propositions functions very well. Moreover, when coupled with a first principle, one is even able to avoid Russell’s assertion that two equally coherent systems could hypothetically exist on the grounds that such is incompatible with one’s first principle and that “…all other theories of truth lead to skepticism.”[1] Such a belief may not be falsifiable, but then again, the idea that a proposition must be falsifiable in order to be justifiably believed is itself unfalsifiable. Instead, what is important is that which constitutes the preconditions for knowledge.

When not synthesized with a variation of foundationalism, however, the coherence theory of truth is open to numerous criticisms. Firstly,“…for the coherentist…The system of justified beliefs is detached from the world beyond, in a sense that justification is an internal matter totally unaffected by what lies outside.”[2] That is, it is not clear that belief in the proposition “a coherent system does not necessarily reflect reality” is incoherent with a set of otherwise coherent beliefs, in which case the practical value of the coherence theory of truth is questionable.

Another point of concern is whether or not the justificatory method of coherentism is actually foundationalistic. If the method by which one justifies his belief is showing it is “a belief which coheres with a set of otherwise coherent beliefs,” such a definition is a precondition for belief that a given belief is justified. It may be that this definition is self-attesting, but either way, such would not preclude it from being a first principle, for it would in either case not be accepted on the basis of any other belief. Regardless, given the fact there exists a predication of beliefs within the coherentist’s framework, his theory of knowledge will contain a [set of] presupposition[s] from which all other non-arbitrarily accepted propositions are purportedly derived, and these presuppositions are foundationalistic first principles.

The most devastating critique of unqualified coherentism is provided by Bertrand Russell: “…this definition of truth is that it assumes the meaning of 'coherence' known, whereas, in fact, 'coherence' presupposes the truth of the laws of logic...if the law of contradiction itself were subjected to the test of coherence, we should find that, if we chose to suppose it false, nothing will any longer be incoherent with anything else.”[3] Russell alludes here to the principle of explosion, the concept that if any contradiction is true, trivialism follows. The law of contradiction, then, cannot be subject to the justificatory test of the coherence theory of truth without simultaneously affirming and denying the validity of the test, and so the law of contradiction is actually a precondition for it.

Less well-known in comparison to the other theories of truth is Tarski’s semantic conception of truth: “a true sentence is one which says that the state of affairs is so and so, and that the state of affairs indeed is so and so.”[4] It appears to be a sort of correspondence theory of truth which, as is obvious from the context of Tarski’s definition, is meant to include empirical observations and observation statements.

The problem with this theory is that it does not adequately explain the means by which one can justify what is “the state of affairs.” If the semantic conception of truth is only sensible when unified with a particular philosophical system, it is suspect to that system’s attendant difficulties. Logical positivists, for example, used this to connect syntax with semantics or meta-language with object-language, but since the semantic conception of truth is neither tautologous nor empirically verifiable, it fails the verification criterion of meaningfulness. 

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[1] Clark, A Christian View of Men and Things pg. 34.

[2] Sosa, The Foundations of Foundationalism pg. 557.

[3] Russell, The Problems of Philosophy pg. 122.

[4] Tarski, Logic, semantics, metamathematics pg. 155.

Logical Positivism

I encountered a couple internet logical positivists recently. It's unusual that someone will know what "logical positivism" is and still adhere to it, as some of its primary adherents have all but pronounced it dead. It refers to a movement in the 1920s and 30s which emphasized syntax and empiricism. In any case, these particular logical positivists were emphasizing one of the primary tenets of logical positivism: metaphysics is semantically meaningless. It was interesting how quickly these logical positivists were able to get those to whom they were replying to assume with them that some of the more foundational concepts of logical positivism were true, and given that I've been reviewing logical positivism in my philosophy class over the past few weeks, I thought I'd share some thoughts on it so that one can anticipate these subtle tactics and effectively counter them. As the more insightful critiques of a given philosophy usually come from those who used to believe it, for those who wish to skip the text and just listen to the problems inherent in logical positivism, this interview of A. J. Ayer (begin at 6:28) gives a nice, short summary, although Ayer seems a little reluctant to say logical positivism is a wholly unsatisfying philosophy.

Language

Syntax, semantics, and pragmatics all pertain to linguistics. Syntax refers to the rules or structure of a theory of language, semantics refers to the meaning of words, and pragmatics designates that field of study whereby one utilizes the usefulness of language. A development in logical positivism that allowed men in the Vienna Circle (the original logical positivists) such as Carnap to bridge what was thought to be a metaphysical gap between syntax and semantics/pragmatics was the following postulation: “a sentence ‘S’ is true if and only if S.” Meta-language, whose subjects are sentences (“S”), became connected to object-language, whose subjects are real world referents (S). Example: "The snow is white" is true if and only if it is really the case the snow is white.

Problems: an immediately perceivable problem with logical positivism here is that it is basically susceptible to all the problems of empiricism. Examples: the reliability of sensation must be unreasonably presupposed; "snow" and "white" are ostensibly, arbitrarily defined such that knowledge of communication between persons is, as Augustine anticipated some 1600 years prior to logical positivism, impossible - that is to say, empiricism is solipsistic; etc. But as a matter of fact, logical positivism was radically empirical, as shall be seen in the below.

Verificationism and the Verification Criterion of Meaningfulness

Verificationism is the position that a proposition must be able to be determined to be true or false in order to be meaningful. So, for example, propositions in the future tense are apparently not meaningful. The verificationism of logical positivism and its extreme emphasis on empiricism led to the verification criterion of meaningfulness, the principle to which logical positivists (such as the ones I met recently) refer when asked why they believed metaphysics is nonsensical. The verification criterion of meaningfulness refers to the following: propositions which are not analytic (i.e. tautologous) must be empirically verifiable or else they are meaningless. Such being the case, metaphysics would by definition be meaningless.

Problem: the most obvious problem - one which caused Ayer to step back from logical positivism - was that the verification criterion of meaningfulness is a proposition which cannot itself be verified on its own grounds. It's a self-defeating principle. This is, in my estimation, the crushing blow to logical positivism. Popper was another individual who saw this flaw and attempted to replace verificationism with falsificationism as the demarcation criterion of science. This has its own problems, but at least Popper didn't reject metaphysics outright. Even with these problems, one final subject related to logical positivism merits note.

Ethics

Ayer, consistent with verificationism and Positivism, taught that ethical posits are neither true nor false. “Ought” and “should” statements are rather emotive. This is the ethical theory known as emotivism. Stevenson, another logical positivist, contributed to this theory by explaining that emotivism does not preclude a means of ethical dialogue. By distinguishing between beliefs (eg. “this actor is in the movie”) and attributes (eg. “I prefer tennis to movies”), Stevenson made significant strides in an attempt to resolve disagreements of this nature. He noted that increasing one another’s awareness of facts can only stimulate beneficial conversation, although he realized differences in attributes are irresolvable.

Feigl, on the other hand, thought emotivists missed the point. Forwarding the concepts of validation and vindication, analogous to internal and external questions, Feigl believed he came the closest to resolving ethical disputes. Validation refers to the idea that if two disputants share the same belief in a general ethical principle, this shared belief can function as a means by which they can seek to resolve differences on a specific point. And even in there are no shared principles, according to vindication, the persons can nevertheless compare their respective systems in hopes one will persuade the other. It is only when disagreement on this level persists that one can claim there is no means of resolution on Positivistic grounds.

Problem: I would agree that each of these contributions takes Positivism to its logical end. But that's precisely the problem. One can describe ethical beliefs but not account for them. Ethical discourse is possible, although ultimately, it may certainly be the case conflicts are irresolvable. In fact, it seems to me the emotivists frame the issue in a different manner than does Feigl, but they don’t differ significantly in that both agree insofar as ethical statements are unjustifiable and ethical dialogue can only go so far.

Many logical positivists bite the bullet and accept moral nihilism, in which case one can always appeal to one of the plethora of intrinsically insoluble difficulties, some of which are mentioned above, but given that one will usually hear arguments from incredulity from logical positivists regarding the idea metaphysical statements can be meaningful, it doesn't hurt to be able to throw incredulity back in their face when you ask if they can seriously believe there is nothing objectively objectionable about rape, murder, et. al.