Nothing in the works of the Logical Positivists united them more than Rudolph Carnap's
statement that "In the domain of metaphysics, including all
philosophy of value and normative theory, logical analysis yields the negative results that the
alleged statements in this domain are entirely meaningless." Such statements he meant are
not just pointless or false, they are nothing but sequences of words that, however they may appear
otherwise, do not make a statement at all.
It is not completely honest to discuss this attitude of Carnap's with Aristotle in mind. The
metaphysics that Carnap railed against, like Heidegger's, did not share that strong ground with
nature that characterized the philosophies of both Aristotle and the Positivists. In order to avoid
the problems of metaphysics Carnap turned to the problem of developing words and sentences
with clear and concise meanings.
Concerning the meaning of words, first, Carnap said, we need to determine the syntax of a word
in the simplest sentence it is capable of occurring in. He called this an elementary sentence. For
example the word stone. The simplest sentence might be "X is a stone." We can call this
sentence S. Once this has been determined we must answer the question "What sentence is S
deducible from and What sentences are deducible from S?" Once these sentences have been
reduced to observation sentences or what are called protocol sentences, that is the meaning of the
word. Thus the meaning of a word must be reducible to observation states which can be verified.
Carnap's test of meaningfulness of sentences is as follows. Given any word "a" and an elementary
sentence in which "a" occurs, S(a), the necessary and sufficient condition for S(a) being
meaningful are given by these formulations.
A typical metaphysical question, he said, would be "What is the highest principle of the world."
In order to determine the meaning of the word "principle" in this sentence we must ask under
what conditions the statement X is the principle of Y would be true and under what conditions
would it be false. He suggests that the metaphysician would reply that the elementary sentence is
true when X arises out of Y or when the being of Y rests on the being of X. However. the
concept arising from resting on as the metaphysician is using it has no empirical content, it cannot
be verified in experience, and therefore the statement has no meaning.
Another kind of meaningless statement would be those that include meaningful words but still
make no sense. For example, the sentence "Caesar is a prime number." has meaningful words and
is syntactically correct. However, prime numbers relate only to numbers and not to Caesar. Thus
the statement is not false, it is meaningless. Sentences that are not meaningful Carnap called
pseudo-statements.
Meaningful statements in philosophy must be both logically and grammatically correct. Such
statements cannot be derived from metaphysical concepts. This is particularly important when we
come to metaphysical statements that refer to infinite being or infinite non-being. Carnap attacked
Heidegger's statements on the role of nothing. These, he claimed, cannot be stated in a logically
correct sequence. Metaphysical statements, according to Carnap, are different even than fairy
tales. Fairy tales are meaningful but false. Metaphysical statements are nothing but meaningless
sequences of words.
The majority of logical mistakes that are committed when pseudo-statements are made are
derived from the improper use of the verb to be. An example of the proper use would be, "I am
hungry." When the verb is used to import existence then it is being used improperly. An
existential statement in logic does not have the form A exists. What it does say is that there exists
something of such and such a kind. In a logically correct language constructions that imply
existence in this way would not be possible.
When a predicative word is used in a non-predicative meaning this is a problem of type confusion.
An example would be the same given before, "Caesar is a prime number." Meaningful statements
are divided into the following kinds; Statements that are true solely by virtue of their form
(tautologies). The formulae of logic and mathematics are this kind. Kant's analytic statements are
this kind. They are not factual. they say nothing about the world. Negatives of the statements
above (Contradictions), are self-contradictory and thus false. Empirical statements are the
statements of science. They are either true or false determined by their protocol sentences. Any
statement that does not fall into one of these two categories is automatically meaningless. a
pseudo-statement.
Carnap's "The Old and the New Logic" appeared in the
first issue of "Erkenntnis," the short-lived journal of the Logical Positivists, and showed the full
pretensions of the young logical Positivists and the kind of energy that set their movement rolling.
He pronounced at the outset that "Logic is no longer one philosophical discipline among others.
But we are able to say outright: Logic is the method of philosophizing."
The stimulus for the development of this new logic, he said, lay in the need for a critical
re-examination of the foundations of mathematics. This became even more important as the
existence of logical contradictions became apparent. These required a fundamental reconstruction
of logic because Logic is fundamentally tautological. No fact can ever be inferred from another.
The conclusion always says the same as the premises only in a different linguistic form. The
purpose of philosophy is to decontaminate science. To pursue philosophy is to clarify the
concepts and sentences of science by logical analysis through this new logic.
The concept of mind has always had a secondary place in philosophy. Many philosophers refer to
it as though there was no equivocation in the term. Aristotle had a sophisticated theory of mind.
as did Locke. Hume, on the other hand seemed to treat it like a passive organ making the active
part the understanding. However, Carnap and the Positivists saw mind as a metaphysical concept
because one could not derive an observation sentence that directly confronted its existence. Thus
for Carnap and for many other Positivists alternative explanations had to be developed for what
others attributed to mind.
Carnap's purpose in "Psychology in Physical Language"
was to show that every sentence of psychology may be formulated in physical language. It is
in this article where we will pick up the thread of physicalism in the thought of the logical
Positivists. In this article he described two different modes of speech. The material mode which
refers to occasions when we speak about material objects, and the formal mode which we use
when we speak about the construction of a word or sentence. Note that this is a different
distinction from what we have been discussing till now. Thus in Carnap's earlier article as well as
with Hahn and others the two modes of speech were speaking about objects and how we speak
about objects. The second in this case is not strictly a matter of the form of words and sentences
alone, it includes the application of logic and mathematics.
The basis for Carnap's physicalism is his concept of a physical language. Underlying any possible
physical language system, Carnap said, are two kinds of languages, The protocol language, the
language in which sentences in the immediate mode of speech are developed which express
information about the given. And the system language, the language in which the system of
science is expressed. A person can verify a sentence in his system language by deducing from
sentences in his protocol language and comparing them with his protocol. Now, if a sentence
permits no such deductions then it has no meaningful content at all. In the case of psychology,
Carnap stated that all of the sentences in psychology can be expressed in a physical language so
that if the physical language were chosen as the system language then the protocol languages of
psychology would become a subset of the physical language as a result all science would become
physics. This statement may be hard to take, but it was his way of saying that psychological
statements, both those of everyday life and of scientific psychology, say something about the
physical state of the person in question. Later, he put it this way. "It says that psychological
statements, both those of everyday life and of scientific psychology, say something about the
physical state of the person in question."